Edit Profile (opens in new tab) Butzer, Paul Leo Compute Distance To: Compute Author ID: butzer.paul-leo Published as: Butzer, Paul L.; Butzer, P. L.; Butzer, Paul; Butzer, Paul Leo; Butzer, P.; Butzer, P.-L. more...less Homepage: http://www.matha.rwth-aachen.de/de/mitarbeiter/butzer/ External Links: MacTutor · MGP · Wikidata · ResearchGate · dblp · GND · IdRef Documents Indexed: 278 Publications since 1952, including 10 Books 19 Contributions as Editor · 4 Further Contributions Biographic References: 11 Publications Co-Authors: 131 Co-Authors with 248 Joint Publications 3,054 Co-Co-Authors all top 5 Co-Authors 43 single-authored 47 Stens, Rudolf L. 20 Nessel, Rolf Joachim 19 Schmeisser, Gerhard 16 Bardaro, Carlo 12 Mantellini, Ilaria 11 Hahn, Lothar 11 Westphal, Ursula 9 Berens, Hubert Anton 9 Hauss, Michael 9 Schulz, Dietmar 9 Trebels, Walter 8 Engels, Wolfgang 8 Higgins, John Rowland 8 Scherer, Karl 8 Stark, Eberhard L. 7 Jansche, Stefan 7 Szőkefalvi-Nagy, Béla 6 Ferreira, Paulo Jorge S. G. 6 Kilbas, Anatoliĭ Aleksandrovich 6 Trujillo, Juan J. 5 Dickmeis, Werner 5 Gessinger, Andreas 5 Görlich, Ernst 5 Jongmans, François 5 Wehrens, Matthias 4 De La Vallée Poussin, Charles-Jean 4 Hinsen, Guido 4 Mawhin, Jean L. 4 Nasri-Roudsari, Gabriele 4 Splettstößer, Wolfgang 4 Vetro, Pasquale 4 Vinti, Gianluca 3 Abel, Ulrich 3 Annaby, Mahmoud H. 3 Dodson, Michael Maurice 3 Fischer, Adelheid 3 Pawelke, Siegfried 3 Pogány, Tibor K. 3 Ries, Sigmar 3 Roeckerath, Marie-Theres 3 Stanković, Radomir S. 2 Dahmen, Wolfgang A. 2 Endow, Yasushi 2 Feher, Franziska 2 Fridli, Sándor 2 Gather, Ursula 2 Golubov, Boris Ivanovich 2 Jansen, Manfred 2 Lei, Junjiang 2 Neuheuser, H. G. 2 Oberschelp, Walter 2 Onneweer, Cornelis W. 2 Pichler, Franz Rupert 2 Schipp, Ferenc Schipp 2 Seidler, P. 2 Su, Weiyi 2 Tillmann, Heinz Günther 2 Wade, William R. 2 Wipperfürth, U. 2 Zilles, Hubert 1 Aczél, János Dezső 1 Al-Musallam, Fadhel A. 1 Alimov, Alexey R. 1 Apostol, Tom M. 1 Baricz, Árpád 1 Bateman, Paul Trevier 1 Becker, Michael 1 Bemelmans, Josef 1 Berdysheva, Elena E. 1 Bleimann, G. 1 Blumen, Alexander 1 Boll, Ludwig 1 Böttcher, Albrecht 1 Burkill, John Charles 1 Butzer Felleisen, Helga 1 DeVore, Ron 1 Dieudonné, Jean Alexandre 1 Douglas, Jack F. 1 Dyckhoff, Harald 1 Edmunds, David Eric 1 Ellison, Fern 1 Ellison, William John 1 Erdélyi, Arthur 1 Everitt, William Norrie 1 Favard, Jean 1 Filbir, Frank-Dieter 1 Flocke, Stefan 1 Gieseler, S. 1 Grigolini, Paolo 1 Guerindon, Jean 1 Haruki, Hiroshi 1 Heinig, Georg 1 Heise, Werner 1 Helson, Henry 1 Hewitt, Edwin 1 Hilfer, Rudolf 1 Hille, Einar 1 Hochstadt, Harry 1 Houzel, Christian 1 Jansen, Hu. ...and 77 more Co-Authors all top 5 Serials 17 Journal of Approximation Theory 8 Mathematische Annalen 7 Acta Scientiarum Mathematicarum 7 Bulletin of the American Mathematical Society 7 ISNM. International Series of Numerical Mathematics 6 Archive for Rational Mechanics and Analysis 6 Mathematische Nachrichten 6 Results in Mathematics 6 The Journal of Fourier Analysis and Applications 5 Applicable Analysis 5 Journal of Mathematical Analysis and Applications 5 Numerical Functional Analysis and Optimization 4 Canadian Journal of Mathematics 4 Journal of Multivariate Analysis 4 Tôhoku Mathematical Journal. Second Series 4 Atti del Seminario Matematico e Fisico dell’Università di Modena 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 3 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 3 Archiv der Mathematik 3 Information and Control 3 Zeitschrift für Analysis und ihre Anwendungen 3 Applied Mathematics Letters 3 Aequationes Mathematicae 3 Bulletin de la Classe des Sciences. 6e Série 3 Integral Transforms and Special Functions 3 Sampling Theory in Signal and Image Processing 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Analysis Mathematica 2 Archive for History of Exact Sciences 2 Computers & Mathematics with Applications 2 IEEE Transactions on Information Theory 2 Mathematical Methods in the Applied Sciences 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Bulletin of the London Mathematical Society 2 Bulletin de la Société Royale des Sciences de Liège 2 Functiones et Approximatio. Commentarii Mathematici 2 Indiana University Mathematics Journal 2 Journal of Computational and Applied Mathematics 2 Mathematische Zeitschrift 2 Historia Mathematica 2 SIAM Journal on Applied Mathematics 2 Journal of Difference Equations and Applications 2 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 2 Atlantis Studies in Mathematics for Engineering and Science 1 Lithuanian Mathematical Journal 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Archives Internationales d’Histoire des Sciences 1 Calcolo 1 Computing 1 Duke Mathematical Journal 1 Indagationes Mathematicae 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Semigroup Forum 1 Studies in Applied Mathematics 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Journal of Operator Theory 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Journal of Mathematical Research & Exposition 1 Analysis 1 Acta Mathematica Hungarica 1 Approximation Theory and its Applications 1 Constructive Approximation 1 Signal Processing 1 IEEE Transactions on Acoustics, Speech, and Signal Processing 1 Linear Algebra and its Applications 1 Litovskiĭ Matematicheskiĭ Sbornik 1 Mitteilungen der Mathematischen Gesellschaft in Hamburg 1 SIAM Review 1 Bulletin de la Société Mathématique de Belgique. Série A 1 Computers and Mathematics with Applications. Part A 1 Computers and Mathematics with Applications. Part B 1 Indagationes Mathematicae. New Series 1 Applied and Computational Harmonic Analysis 1 Annals of Numerical Mathematics 1 Communications in Applied Analysis 1 Fractional Calculus & Applied Analysis 1 Analysis (München) 1 Nieuw Archief voor Wiskunde. Vijfde Serie 1 Entropy 1 Computational Methods and Function Theory 1 International Journal of Number Theory 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Annales Societatis Mathematicae Polonae 1 Proceedings and Transactions of the Royal Society of Canada, Section III, III. Ser 1 Complex Variables and Elliptic Equations 1 Grundlehren der Mathematischen Wissenschaften 1 Mathematicians of Our Time 1 Commentationes Mathematicae 1 Sudhoffs Archiv 1 Bulletin of Mathematical Sciences 1 Publications of the Research Institute for Mathematical Sciences, Series A 1 Journal of the Society for Industrial and Applied Mathematics. Series B, Numerical Analysis ...and 3 more Serials all top 5 Fields 95 Approximations and expansions (41-XX) 55 Harmonic analysis on Euclidean spaces (42-XX) 51 Information and communication theory, circuits (94-XX) 46 History and biography (01-XX) 30 Real functions (26-XX) 29 Probability theory and stochastic processes (60-XX) 24 Operator theory (47-XX) 22 Integral transforms, operational calculus (44-XX) 22 Functional analysis (46-XX) 19 Number theory (11-XX) 17 Numerical analysis (65-XX) 16 General and overarching topics; collections (00-XX) 15 Functions of a complex variable (30-XX) 15 Special functions (33-XX) 9 Ordinary differential equations (34-XX) 9 Partial differential equations (35-XX) 7 Sequences, series, summability (40-XX) 6 Combinatorics (05-XX) 4 Abstract harmonic analysis (43-XX) 4 Systems theory; control (93-XX) 3 Statistics (62-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 265 Publications have been cited 6,012 times in 2,165 Documents Cited by ▼ Year ▼ Applications of fractional calculus in physics. Zbl 0998.26002 2,199 2000 Semi-groups of operators and approximation. Zbl 0164.43702Butzer, Paul L.; Berens, H. 467 1967 Fourier analysis and approximation. Vol. 1: One-dimensional theory. Zbl 0217.42603Butzer, Paul L.; Nessel, R. J. 354 1971 An introduction to fractional calculus. Zbl 0987.26005Butzer, P. L.; Westphal, U. 139 2000 The sampling theorem and linear prediction in signal analysis. Zbl 0633.94002Butzer, P. L.; Splettstößer, W.; Stens, R. L. 101 1988 Fractional calculus in the Mellin setting and Hadamard-type fractional integrals. Zbl 0995.26007Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 91 2002 Compositions of Hadamard-type fractional integration operators and the semigroup property. Zbl 1027.26004Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 86 2002 Mellin transform analysis and integration by parts for Hadamard-type fractional integrals. Zbl 1022.26011Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 81 2002 A direct approach to the Mellin transform. Zbl 0885.44004Butzer, Paul L.; Jansche, Stefan 77 1997 Sampling theory for not necessarily band-limited functions: A historical overview. Zbl 0746.94002Butzer, P. L.; Stens, R. L. 65 1992 Limitierungsverfahren von Reihen mehrdimensionaler Kugelfunktionen und deren Saturationsverhalten. Zbl 0201.08402Berens, H.; Butzer, Paul L.; Pawelke, S. 62 1968 Kantorovich-type generalized sampling series in the setting of Orlicz spaces. Zbl 1156.41307Bardaro, C.; Vinti, G.; Butzer, P. L.; Stens, R. L. 59 2007 A survey of the Whittaker-Shannon sampling theorem and some of its extensions. Zbl 0523.94003Butzer, Paul L. 58 1983 A Bernstein-type operator approximating continuous functions on the semi-axis. Zbl 0437.41021Bleimann, G.; Butzer, Paul L.; Hahn, L. 56 1980 Central factorial numbers; their main properties and some applications. Zbl 0659.10012Butzer, P. L.; Schmidt, M.; Stark, E. L.; Vogt, L. 48 1989 Walsh-Fourier series and the concept of a derivative. Zbl 0256.42016Butzer, Paul L.; Wagner, H. J. 46 1973 Approximation of continuous and discontinuous functions by generalized sampling series. Zbl 0654.41004Butzer, P. L.; Ries, S.; Stens, R. L. 46 1987 Linear combinations of Bernstein polynomials. Zbl 0051.05002Butzer, Paul L. 45 1953 Best trigonometric approximation, fractional order derivatives and Lipschitz classes. Zbl 0357.26003Butzer, Paul L.; Dyckhoff, H.; Görlich, E.; Stens, R. L. 41 1977 On Lagrange interpolation and Kramer-type sampling theorems associated with Sturm-Liouville problems. Zbl 0695.41002Zayed, Ahmed I.; Hinsen, Guido; Butzer, Paul L. 36 1990 Convergence in variation and rates of approximation for Bernstein-type polynomials and singular convolution integrals. Zbl 1049.41015Bardaro, C.; Butzer, P. L.; Stens, R. L.; Vinti, G. 34 2003 Fourier-transform methods in the theory of approximation. Zbl 0107.32101Butzer, Paul L. 34 1960 Prediction by samples from the past with error estimates covering discontinuous signals. Zbl 1366.94216Bardaro, Carlo; Butzer, Paul L.; Stens, Rudolf L.; Vinti, Gianluca 32 2010 Classical and approximate sampling theorems; studies in the \(L^{p}(\mathbb R)\) and the uniform norm. Zbl 1089.94013Butzer, P. L.; Higgins, J. R.; Stens, R. L. 31 2005 On the extensions of Bernstein polynomials to the infinite interval. Zbl 0056.28703Butzer, Paul L. 30 1954 A self-contained approach to Mellin transform analysis for square integrable functions. Applications. Zbl 0961.44005Butzer, Paul L.; Jansche, Stefan 27 1999 Über den Graf der Approximation des Identitätsoperators durch Halbgruppen von linearen Operatoren und Anwendungen auf die Theorie der singulären Integrale. Zbl 0081.33403Butzer, Paul L. 27 1957 Approximationsprozesse und Interpolationsmethoden. (B.I.- Hochschulskripten. 826/826a). Zbl 0177.08501Butzer, Paul L.; Scherer, K. 27 1968 On the fundamental approximation theorems of D. Jackson, S.N. Bernstein and theorems of M. Zamansky and S.B. Stechkin. Zbl 0179.09101Butzer, Paul L.; Scherer, K. 26 1969 Sampling theory of signal analysis. Zbl 0961.94009Butzer, Paul L.; Higgins, J. R.; Stens, R. L. 24 2000 On two-dimensional Bernstein polynomials. Zbl 0050.07002Butzer, Paul L. 24 1953 Aspects of de La Vallée Poussin’s work in approximation and its influence. Zbl 0782.01013Butzer, P. L.; Nessel, R. J. 23 1993 The exponential sampling theorem of signal analysis. Zbl 0913.44002Butzer, Paul L.; Jansche, Stefan 23 1998 On dyadic analysis based on the pointwise dyadic derivative. Zbl 0324.42011Butzer, Paul L.; Wagner, H. J. 23 1975 Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals. Zbl 1087.94013Bardaro, C.; Butzer, P. L.; Stens, R. L.; Vinti, G. 23 2006 On the rate of approximation in the central limit theorem. Zbl 0298.60014Butzer, Paul L.; Hahn, L.; Westphal, U. 22 1975 Voronovskaya-type theorems for derivatives of the Beinstein-Chlodovsky polynomials and the Szász-Mirakyan operator. Zbl 1236.41022Butzer, Paul Leo; Karsli, Harun 22 2009 A modification of the Whittaker-Kotelnikov-Shannon sampling series. Zbl 0582.41004Butzer, Paul L.; Stens, R. L. 21 1985 A sampling theorem for duration-limited functions with error estimates. Zbl 0363.94009Butzer, Paul L.; Splettstösser, W. 20 1977 Jackson and Bernstein-type inequalities for families of commutative operators in Banach spaces. Zbl 0234.41013Butzer, Paul L.; Scherer, K. 20 1972 Factorial functions and Stirling numbers of fractional orders. Zbl 0707.05002Butzer, P. L.; Hauss, M.; Schmidt, M. 20 1989 The exponential sampling theorem of signal analysis and the reproducing kernel formula in the Mellin transform setting. Zbl 1346.94072Bardaro, Carlo; Butzer, Paul Leo; Mantellini, Ilaria 19 2014 Sturm-Liouville boundary value problems and Lagrange interpolation series. Zbl 0813.34028Everitt, W. N.; Schöttler, G.; Butzer, P. L. 18 1994 On summation processes of Fourier expansions in Banach spaces. I: Comparison theorems. Zbl 0242.42016Butzer, Paul L.; Nessel, R. J.; Trebels, Walter 17 1972 Generalized sampling approximation of multivariate signals; theory and some applications. Zbl 0768.42013Butzer, P. L.; Fischer, A.; Stens, R. L. 17 1990 The finite Mellin transform, Mellin-Fourier series, and the Mellin-Poisson summation formula. Zbl 0905.44003Butzer, Paul L.; Jansche, Stefan 17 1998 Approximation of signals using measured sampled values and error analysis. Zbl 1089.94503Butzer, Paul L.; Lei, Junjiang 17 2000 Sampling theorems associated with fourth- and higher-order self-adjoint eigenvalue problems. Zbl 0808.34091Butzer, P. L.; Schöttler, G. 16 1994 Kramer’s sampling theorem in signal analysis and its role in mathematics. Zbl 0889.94003Butzer, P. L.; Nasri-Roudsari, G. 16 1997 Approximation theorems for semi-groups of bounded linear transformations. Zbl 0094.30602Butzer, Paul L.; Tillmann, H. G. 16 1960 On the Paley-Wiener theorem in the Mellin transform setting. Zbl 1338.44006Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard 16 2016 The Euler-MacLaurin summation formula, the sampling theorem, and approximate integration over the real axis. Zbl 0534.65004Butzer, Paul L.; Stens, R. L. 16 1983 General theorems on rates of convergence in distribution of random variables I. General limit theorems. Zbl 0383.60024Butzer, Paul L.; Hahn, L. 15 1978 The approximate sampling theorem, Poisson’s sum formula, a decomposition theorem for Parseval’s equation and their interconnections. Zbl 0928.42022Butzer, P. L.; Gessinger, A. 15 1997 Zur Frage der Saturationsklassen singulärer Integraloperatoren. Zbl 0089.11303Butzer, Paul L. 15 1958 General theorems on rates of convergence in distribution of random variables II. Applications to the stable limit laws and weak law of large numbers. Zbl 0383.60025Butzer, Paul L.; Hahn, L. 14 1978 Lipschitz spaces on compact manifolds. Zbl 0217.49503Butzer, Paul L.; Johnen, H. 14 1971 An access to fractional differentiation via fractional difference quotients. Zbl 0307.26006Butzer, Paul L.; Westphal, Ursula 14 1975 Representation of fractional powers of infinitesimal generators of semigroups. Zbl 0153.45203Berens, H.; Butzer, Paul L.; Westphal, U. 14 1968 “Riemann’s example” of a continuous nondifferentiable function in the light of two letters (1865) of Christoffel to Prym. Zbl 0629.01013Butzer, Paul L.; Stark, Eberhard L. 14 1986 Über die Fundamentalsätze der klassischen Approximationstheorie in abstrakten Räumen. Zbl 0186.11001Butzer, Paul L.; Scherer, K. 13 1969 The Shannon sampling series and the reconstruction of signals in terms of linear, quadratic and cubic splines. Zbl 0617.41020Butzer, P. L.; Engels, W.; Ries, S.; Stens, R. L. 13 1986 On Stirling functions of the second kind. Zbl 0738.11025Butzer, P. L.; Hauss, M. 13 1991 The sampling theorem, Poisson’s summation formula, general Parseval formula, reproducing kernel formula and the Paley-Wiener theorem for bandlimited signals – their interconnections. Zbl 1217.30025Butzer, P. L.; Ferreira, P. J. S. G.; Higgins, J. R.; Schmeisser, G.; Stens, R. L. 13 2011 The summation formulae of Euler-Maclaurin, Abel-Plana, Poisson, and their interconnections with the approximate sampling formula of signal analysis. Zbl 1225.65007Butzer, P. L.; Ferreira, P. J. S. G.; Schmeisser, G.; Stens, R. L. 13 2011 Chebyshev transform methods in the theory of best algebraic approximation. Zbl 0337.41026Butzer, Paul L.; Stens, R. L. 13 1976 The Mellin-Parseval formula and its interconnections with the exponential sampling theorem of optical physics. Zbl 1335.30008Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria 13 2016 Basic relations valid for the Bernstein space \(B^{p}_{\sigma}\) and their extensions to functions from larger spaces with error estimates in terms of their distances from \(B^{p}_{\sigma}\). Zbl 1304.30037Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 13 2013 On summation processes of Fourier expansions in Banach spaces. II: Saturation theorems. Zbl 0247.42013Butzer, Paul L.; Nessel, R. J.; Trebels, Walter 12 1972 Saturationsklassen und asymptotische Eigenschaften trigonometrischer singulärer Integrale. Zbl 0166.07102Butzer, Paul L.; Görlich, E. 12 1966 The foundations of fractional calculus in the Mellin transform setting with applications. Zbl 1334.47047Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria 12 2015 Shannon’s sampling theorem for bandlimited signals and their Hilbert transform, Boas-type formulae for higher order derivatives – the aliasing error involved by their extensions from bandlimited to non-bandlimited signals. Zbl 1314.94034Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 12 2012 Ergodic theorems for semigroups and cosine operator functions at zero and infinity with rates; applications to partial differential equations. A survey. Zbl 0843.47004Butzer, P. L.; Gessinger, A. 11 1995 The mean ergodic theorem and saturation. Zbl 0217.45202Butzer, Paul L.; Westphal, U. 11 1971 Stirling functions of the second kind in the setting of difference and fractional calculus. Zbl 1086.11014Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 11 2003 Representation and approximation of functions by general singular integrals. I A, I B. Zbl 0107.32003Butzer, Paul L. 11 1960 P. L. Chebyshev (1821-1894). A guide to his life and work. Zbl 0934.01017Butzer, Paul; Jongmans, François 11 1999 Mellin transform theory and the role of its differential and integral operators. Zbl 0923.44002Butzer, Paul L.; Jansche, Stefan 11 1998 The operational properties of the Chebyshev transform. I: General properties. Zbl 0375.44003Butzer, Paul L.; Stens, R. L. 10 1977 Higher order moduli of continuity based on the Jacobi translation operator and best approximation. Zbl 0436.41013Butzer, Paul L.; Stens, R. L.; Wehrens, M. 10 1980 Multipliers with respect to spectral measures in Banach spaces and approximation. I: Radial multipliers in connection with Riesz-bounded spectral measures. Zbl 0268.41019Butzer, Paul L.; Nessel, R. J.; Trebels, Walter 10 1973 Beziehungen zwischen den Riemannschen, Taylorschen und gewöhnlichen Ableitungen reellwertiger Funktionen. Zbl 0106.27002Butzer, Paul L. 10 1961 Ableitungen von trigonometrischen Approximationsprozessen. Zbl 0165.39101Butzer, Paul L.; Pawelke, S. 10 1967 Sur le rôle de la transformation de Fourier dans quelques problèmes d’approximation. Zbl 0192.15903Butzer, P.-L. 10 1959 Errors in truncated sampling series with measured sampled values for non-necessarily bandlimited functions. Zbl 0982.94008Butzer, Paul L.; Lei, Junjiang 10 1998 Alternating Mathieu series, Hilbert-Eisenstein series and their generalized omega functions. Zbl 1326.33031Baricz, Árpád; Butzer, Paul L.; Pogány, Tibor K. 10 2014 A fresh approach to the Paley-Wiener theorem for Mellin transforms and the Mellin-Hardy spaces. Zbl 1391.44004Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard 10 2017 Stirling numbers, central factorial numbers, and representations of the Riemann zeta function. Zbl 0724.11038Butzer, P. L.; Markett, C.; Schmidt, M. 10 1991 The classical and approximate sampling theorems and their equivalence for entire functions of exponential type. Zbl 1370.42002Butzer, P. L.; Schmeisser, G.; Stens, R. L. 10 2014 Generalized sampling approximation of multivariate signals; general theory. Zbl 0789.42026Butzer, P. L.; Fischer, A.; Stens, R. L. 9 1993 A retrospective on 60 years of approximation theory and associated fields. Zbl 1194.41002Butzer, Paul L. 9 2009 Generalized Hardy and Hardy-Littlewood inequalities in rearrangement- invariant spaces. Zbl 0385.26013Butzer, Paul L.; Feher, F. 9 1978 The continuous Legendre transform, its inverse transform, and applications. Zbl 0447.44001Butzer, Paul L.; Stens, R. L.; Wehrens, M. 9 1980 On the singular integral of de la Vallee-Poussin. Zbl 0073.28103Butzer, Paul L. 9 1956 Prediction of non-bandlimited signals from past samples in terms of splines of low degree. Zbl 0627.94003Butzer, P. L.; Stens, R. L. 9 1987 Magnitude of the truncation error in sampling expansions of band-limited signals. Zbl 0564.94004Butzer, Paul L.; Engels, Wolfgang; Scheben, Ursula 9 1982 Interpolation and sampling: E. T. Whittaker, K. Ogura and their followers. Zbl 1213.94027Butzer, P. L.; Ferreira, P. J. S. G.; Higgins, J. R.; Saitoh, S.; Schmeisser, G.; Stens, R. L. 9 2011 On the Riemann derivatives for integrable functions. Zbl 0056.05604Butzer, Paul L.; Kozakiewicz, W. 9 1954 Reconstruction of signals in \(L^p(\mathbb R)\)-space by generalized sampling series based on linear combinations of \(B\)-splines. Zbl 1146.41002Butzer, P. L.; Stens, R. L. 9 2008 A linear ODE for the Omega function associated with the Euler function \(E_{\alpha}(z)\) and the Bernoulli function \(B_{\alpha }(z)\). Zbl 1134.33326Butzer, P. L.; Pogány, Tibor K.; Srivastava, H. M. 9 2006 Integration of polar-analytic functions and applications to Boas’ differentiation formula and Bernstein’s inequality in Mellin setting. Zbl 1469.30085Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard 1 2020 Valiron’s interpolation formula and a derivative sampling formula in the Mellin setting acquired via polar-analytic functions. Zbl 1473.30022Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard 1 2020 A retrospective on research visits of Paul Butzer’s Aachen research group to North America and Western Europe. Zbl 1444.41001Butzer, Paul L.; Stens, Rudolf L. 1 2020 Development of a new concept of polar analytic functions useful in Mellin analysis. Zbl 1428.30003Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard 5 2019 Quadrature formulae for the positive real axis in the setting of Mellin analysis: sharp error estimates in terms of the Mellin distance. Zbl 1401.41020Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard 6 2018 The distance between the general Poisson summation formula and that for bandlimited functions; applications to quadrature formulae. Zbl 1396.41028Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 1 2018 A fresh approach to the Paley-Wiener theorem for Mellin transforms and the Mellin-Hardy spaces. Zbl 1391.44004Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard 10 2017 A generalization of the Paley-Wiener theorem for Mellin transforms and metric characterization of function spaces. Zbl 1377.44004Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard 6 2017 A fresh approach to classical Eisenstein series and the newer Hilbert-Eisenstein series. Zbl 1422.11039Butzer, Paul L.; Pogány, Tibor K. 3 2017 On the Paley-Wiener theorem in the Mellin transform setting. Zbl 1338.44006Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard 16 2016 The Mellin-Parseval formula and its interconnections with the exponential sampling theorem of optical physics. Zbl 1335.30008Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria 13 2016 Mellin analysis and its basic associated metric – applications to sampling theory. Zbl 1374.44001Bardaro, C.; Butzer, P. L.; Mantellini, I.; Schmeisser, G. 6 2016 Sobolev spaces of fractional order, Lipschitz spaces, readapted modulation spaces and their interrelations; applications. Zbl 1359.41002Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 2 2016 The foundations of fractional calculus in the Mellin transform setting with applications. Zbl 1334.47047Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria 12 2015 In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021Alimov, Alexey; Berdysheva, Elena; Butzer, Paul; zu Castell, Wolfgang; Dahmen, Wolfgang; DeVore, Ron; Filbir, Frank; Jetter, Kurt; Mhaskar, Hrushikesh; Nevai, Paul; Sauer, Tomas; Schumaker, Larry; Sommer, Manfred; Strauss, Hans; Xu, Yuan 2 2015 Dyadic Walsh analysis from 1924 onwards Walsh-Gibbs-Butzer dyadic differentiation in science. Volume 1. Foundations. A monograph based on articles of the founding authors, reproduced in full. Edited by Radomir S. Stanković, Paul L. Butzer, Ferenc Schipp and William R. Wade. Zbl 1328.43001Stanković, Radomir S.; Butzer, Paul L.; Schipp, Ferenc; Wade, William R.; Su, Weiyi; Endow, Yasushi; Fridli, Sandor; Golubov, Boris I.; Pichler, Franz; Onneweer, Kees (C. W.) 2 2015 Dyadic Walsh analysis from 1924 onwards Walsh-Gibbs-Butzer dyadic differentiation in science. Volume 2. Extensions and generalizations. A monograph based on articles of the founding authors, reproduced in full. Edited by Radomir S. Stanković, Paul L. Butzer, Ferenc Schipp and William R. Wade. Zbl 1328.43002Stanković, Radomir S.; Butzer, Paul L.; Schipp, Ferenc; Wade, William R.; Su, Weiyi; Endow, Yasushi; Fridli, Sandor; Golubov, Boris I.; Pichler, Franz; Onneweer, Kees (C. W.) 1 2015 The exponential sampling theorem of signal analysis and the reproducing kernel formula in the Mellin transform setting. Zbl 1346.94072Bardaro, Carlo; Butzer, Paul Leo; Mantellini, Ilaria 19 2014 Alternating Mathieu series, Hilbert-Eisenstein series and their generalized omega functions. Zbl 1326.33031Baricz, Árpád; Butzer, Paul L.; Pogány, Tibor K. 10 2014 The classical and approximate sampling theorems and their equivalence for entire functions of exponential type. Zbl 1370.42002Butzer, P. L.; Schmeisser, G.; Stens, R. L. 10 2014 Seven pivotal theorems of Fourier analysis, signal analysis, numerical analysis and number theory: their interconnections. Zbl 1306.30009Butzer, P. L.; Dodson, M. M.; Ferreira, P. J. S. G.; Higgins, J. R.; Schmeisser, G.; Stens, R. L. 7 2014 Basic relations valid for the Bernstein spaces \(B^2_{\sigma}\) and their extensions to larger function spaces via a unified distance concept. Zbl 1315.42014Butzer, P. L.; Stens, R. L.; Schmeisser, G. 2 2014 Basic relations valid for the Bernstein space \(B^{p}_{\sigma}\) and their extensions to functions from larger spaces with error estimates in terms of their distances from \(B^{p}_{\sigma}\). Zbl 1304.30037Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 13 2013 Shannon’s sampling theorem for bandlimited signals and their Hilbert transform, Boas-type formulae for higher order derivatives – the aliasing error involved by their extensions from bandlimited to non-bandlimited signals. Zbl 1314.94034Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 12 2012 Complete asymptotic expansion for generalized Favard operators. Zbl 1262.41023Abel, Ulrich; Butzer, Paul L. 7 2012 The sampling theorem, Poisson’s summation formula, general Parseval formula, reproducing kernel formula and the Paley-Wiener theorem for bandlimited signals – their interconnections. Zbl 1217.30025Butzer, P. L.; Ferreira, P. J. S. G.; Higgins, J. R.; Schmeisser, G.; Stens, R. L. 13 2011 The summation formulae of Euler-Maclaurin, Abel-Plana, Poisson, and their interconnections with the approximate sampling formula of signal analysis. Zbl 1225.65007Butzer, P. L.; Ferreira, P. J. S. G.; Schmeisser, G.; Stens, R. L. 13 2011 Interpolation and sampling: E. T. Whittaker, K. Ogura and their followers. Zbl 1213.94027Butzer, P. L.; Ferreira, P. J. S. G.; Higgins, J. R.; Saitoh, S.; Schmeisser, G.; Stens, R. L. 9 2011 Multiplex signal transmission and the development of sampling techniques: the work of Herbert Raabe in contrast to that of Claude Shannon. Zbl 1210.94006Butzer, P. L.; Dodson, M. M.; Ferreira, P. J. S. G.; Higgins, J. R.; Lange, O.; Seidler, P.; Stens, R. L. 6 2011 Prediction by samples from the past with error estimates covering discontinuous signals. Zbl 1366.94216Bardaro, Carlo; Butzer, Paul L.; Stens, Rudolf L.; Vinti, Gianluca 32 2010 Herbert Raabe’s work in multiplex signal transmission and his development of sampling methods. Zbl 1194.01071Butzer, P. L.; Dodson, M. M.; Ferreira, P. J. S. G.; Higgins, J. R.; Lange, O.; Seidler, P. 4 2010 Voronovskaya-type theorems for derivatives of the Beinstein-Chlodovsky polynomials and the Szász-Mirakyan operator. Zbl 1236.41022Butzer, Paul Leo; Karsli, Harun 22 2009 A retrospective on 60 years of approximation theory and associated fields. Zbl 1194.41002Butzer, Paul L. 9 2009 The \(a\)-Drazin inverse and ergodic behaviour of semigroups and cosine operator functions. Zbl 1211.47001Butzer, P. L.; Koliha, J. J. 7 2009 Reconstruction of signals in \(L^p(\mathbb R)\)-space by generalized sampling series based on linear combinations of \(B\)-splines. Zbl 1146.41002Butzer, P. L.; Stens, R. L. 9 2008 Kantorovich-type generalized sampling series in the setting of Orlicz spaces. Zbl 1156.41307Bardaro, C.; Vinti, G.; Butzer, P. L.; Stens, R. L. 59 2007 Stirling functions of first kind in the setting of fractional calculus and generalized differences. Zbl 1135.33010Butzer, P. L.; Kilbas, A. A.; Rodríguez-Germá, L.; Trujillo, J. J. 4 2007 Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals. Zbl 1087.94013Bardaro, C.; Butzer, P. L.; Stens, R. L.; Vinti, G. 23 2006 A linear ODE for the Omega function associated with the Euler function \(E_{\alpha}(z)\) and the Bernoulli function \(B_{\alpha }(z)\). Zbl 1134.33326Butzer, P. L.; Pogány, Tibor K.; Srivastava, H. M. 9 2006 Otto Blumenthal (1876–1944) in retrospect. Zbl 1194.01072Butzer, Paul; Volkmann, Lutz 5 2006 Classical and approximate sampling theorems; studies in the \(L^{p}(\mathbb R)\) and the uniform norm. Zbl 1089.94013Butzer, P. L.; Higgins, J. R.; Stens, R. L. 31 2005 Collected works/Œuvres scientifiques. Vol. III. Approximation theory, Fourier analysis, quasi-analytic functions/Théorie de l’approximation, analyse de Fourier, fonctions quasi-analytiques. Edited by Paul Butzer, Jean Mawhin and Pasquale Vetro. Zbl 1140.01309de La Vallée Poussin, Charles-Jean 1 2004 Sampling in Paley-Wiener spaces associated with fractional integro-differential operators. Zbl 1054.45002Annaby, Mahmoud; Butzer, Paul 1 2004 Convergence in variation and rates of approximation for Bernstein-type polynomials and singular convolution integrals. Zbl 1049.41015Bardaro, C.; Butzer, P. L.; Stens, R. L.; Vinti, G. 34 2003 Stirling functions of the second kind in the setting of difference and fractional calculus. Zbl 1086.11014Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 11 2003 Generalized Stirling functions of second kind and representations of fractional order differences via derivatives. Zbl 1096.11500Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 5 2003 Fractional calculus in the Mellin setting and Hadamard-type fractional integrals. Zbl 0995.26007Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 91 2002 Compositions of Hadamard-type fractional integration operators and the semigroup property. Zbl 1027.26004Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 86 2002 Mellin transform analysis and integration by parts for Hadamard-type fractional integrals. Zbl 1022.26011Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J. 81 2002 On sampling associated with singular Sturm-Liouville eigenvalue problems: The limit-circle case. Zbl 1041.34078Annaby, M. H.; Butzer, P. L. 5 2002 Bernoulli functions; Hilbert-type Poisson summation formulae, partial fraction expansions, and Hilbert-Eisenstein series. Zbl 1081.11013Butzer, Paul L. 5 2002 Collected works/Œuvres scientifiques. Vol. II: Integration and measure, probability, ordinary differential equations, mechanics, geometry/Intégration, mesure, probabilités, équations différentielles ordinaires géométrie, mécanique. Edited by Paul Butzer, Jean Mawhin and Pasquale Vetro. Zbl 1038.01028de La Vallée Poussin, Charles-Jean 1 2001 Applications of fractional calculus in physics. Zbl 0998.26002 2,199 2000 An introduction to fractional calculus. Zbl 0987.26005Butzer, P. L.; Westphal, U. 139 2000 Sampling theory of signal analysis. Zbl 0961.94009Butzer, Paul L.; Higgins, J. R.; Stens, R. L. 24 2000 Approximation of signals using measured sampled values and error analysis. Zbl 1089.94503Butzer, Paul L.; Lei, Junjiang 17 2000 Mellin-Fourier series and the classical Mellin transform. Zbl 0959.44006Butzer, P. L.; Jansche, S. 4 2000 Mellin-type differential equations and associated sampling expansions. Zbl 0970.34021Annaby, M. H.; Butzer, P. L. 3 2000 Proceedings of the international conference on Fourier analysis and applications, Kuwait, May 3–6, 1998. Zbl 0945.00023 1 2000 The correspondence of Charles Hermite and Ernesto Cesaro. (Les relations épistolaires entre Charles Hermite et Ernesto Cesaro.) Zbl 1194.01019Butzer, P. L.; Carbone, L.; Jongmans, F.; Palladino, F. 1 2000 A self-contained approach to Mellin transform analysis for square integrable functions. Applications. Zbl 0961.44005Butzer, Paul L.; Jansche, Stefan 27 1999 P. L. Chebyshev (1821-1894). A guide to his life and work. Zbl 0934.01017Butzer, Paul; Jongmans, François 11 1999 The correspondence between Eugene Catalan and Ernesto Cesaro. (Les relations épistolaires entre Eugène Catalan et Ernesto Cesàro.) Zbl 1194.01020Butzer, P. L.; Carbone, L.; Jongmans, F.; Palladino, F. 1 1999 The exponential sampling theorem of signal analysis. Zbl 0913.44002Butzer, Paul L.; Jansche, Stefan 23 1998 The finite Mellin transform, Mellin-Fourier series, and the Mellin-Poisson summation formula. Zbl 0905.44003Butzer, Paul L.; Jansche, Stefan 17 1998 Mellin transform theory and the role of its differential and integral operators. Zbl 0923.44002Butzer, Paul L.; Jansche, Stefan 11 1998 Errors in truncated sampling series with measured sampled values for non-necessarily bandlimited functions. Zbl 0982.94008Butzer, Paul L.; Lei, Junjiang 10 1998 Charlemagne and his heritage. 1200 years of civilization and science in Europe. Vol. 2: Mathematical arts. Papers from the “Colloquium Carolus Magnus: 1200 years of civilization and science in Europe”, Aachen, Germany, March 19–26, 1995. In collab. with J. Bemelmans, W. Dahmen, A. Krieg and W. Plesken. (Karl der Grosse und sein Nachwirken. 1200 Jahre Kultur und Wissenschaft in Europa. Band 2: Mathematisches Wissen.) Zbl 0942.00019 3 1998 Scholars of the Mathematical sciences in the Aachen-Liège-Maastricht region during the past 1200 years; an overview (with the assistance of Helga Butzer Felleisen). Zbl 0952.01006Butzer, Paul L. 1 1998 A direct approach to the Mellin transform. Zbl 0885.44004Butzer, Paul L.; Jansche, Stefan 77 1997 Kramer’s sampling theorem in signal analysis and its role in mathematics. Zbl 0889.94003Butzer, P. L.; Nasri-Roudsari, G. 16 1997 The approximate sampling theorem, Poisson’s sum formula, a decomposition theorem for Parseval’s equation and their interconnections. Zbl 0928.42022Butzer, P. L.; Gessinger, A. 15 1997 Connections between the approximation of semigroup and cosine operator functions. Zbl 0885.41016Butzer, P. L.; Gessinger, A. 4 1997 Charlemagne and his heritage. 1200 years of civilization and science in Europe. Vol. 1: Scholarship, worldview and understanding. Papers from the international colloquium, Aachen, Germany, March 19–26, 1995. (Karl der Grosse und sein Nachwirken. 1200 Jahre Kultur und Wissenschaft in Europa. Band I: Wissen und Weltbild.) Zbl 1044.00530 2 1997 Ergodic theorems for semigroups and cosine operator functions at zero and infinity with rates; applications to partial differential equations. A survey. Zbl 0843.47004Butzer, P. L.; Gessinger, A. 11 1995 The mean ergodic theorem for cosine operator functions with optimal and non-optimal rates. Zbl 1002.47500Butzer, P. L.; Gessinger, A. 5 1995 An extension of Kramer’s sampling theorem for not necessarily “bandlimited” signals – the aliasing error. Zbl 0835.94004Butzer, P. L.; Stens, R. L. 3 1995 The approximation theoretical behaviour of solutions of specific hyperbolic differential equations at zero and infinity. Zbl 0844.41022Butzer, P. L.; Gessinger, A. 1 1995 Sturm-Liouville boundary value problems and Lagrange interpolation series. Zbl 0813.34028Everitt, W. N.; Schöttler, G.; Butzer, P. L. 18 1994 Sampling theorems associated with fourth- and higher-order self-adjoint eigenvalue problems. Zbl 0808.34091Butzer, P. L.; Schöttler, G. 16 1994 Euler functions \(E_ \alpha(z)\) with complex \(\alpha\) and applications. Zbl 0849.11021Butzer, Paul L.; Flocke, Stefan; Hauss, Michael 5 1994 The Hausdorff-Young theorems of Fourier analysis and their impact. Zbl 0978.42500Butzer, P. L. 4 1994 Scaling functions and wavelets with vanishing moments. Zbl 0852.42022Butzer, P. L.; Fischer, A.; Rückforth, K. 3 1994 Aspects of de La Vallée Poussin’s work in approximation and its influence. Zbl 0782.01013Butzer, P. L.; Nessel, R. J. 23 1993 Generalized sampling approximation of multivariate signals; general theory. Zbl 0789.42026Butzer, P. L.; Fischer, A.; Stens, R. L. 9 1993 Eulerian numbers with fractional order parameters. Zbl 0797.11025Butzer, P. L.; Hauss, M. 8 1993 Sampling expansions for Jacobi functions and their applications. Zbl 0790.33011Butzer, Paul L.; Schöttler, Gabriele 4 1993 Science in Western and Eastern civilization in Carolingian times. Zbl 0781.01004 3 1993 Sampling theory for not necessarily band-limited functions: A historical overview. Zbl 0746.94002Butzer, P. L.; Stens, R. L. 65 1992 Functional analytic methods in the solution of the fundamental theorems on best-weighted algebraic approximation. Zbl 0782.41030Butzer, P. L.; Jansche, S.; Stens, R. L. 7 1992 Integral and rapidly converging series representations of the Dirichlet \(L\)-functions \(L_ 1(s)\) and \(L_{-4}(s)\). Zbl 0760.11022Butzer, P. L.; Hauss, M. 4 1992 Riemann zeta function: Rapidly converging series and integral representations. Zbl 0746.11034Butzer, P. L.; Hauss, M. 3 1992 Bernoulli numbers and polynomials of arbitrary complex indices. Zbl 0768.11010Butzer, P. L.; Hauss, M.; Leclerc, M. 3 1992 On Stirling functions of the second kind. Zbl 0738.11025Butzer, P. L.; Hauss, M. 13 1991 Stirling numbers, central factorial numbers, and representations of the Riemann zeta function. Zbl 0724.11038Butzer, P. L.; Markett, C.; Schmidt, M. 10 1991 Stirling functions of first and second kind; some new applications. Zbl 0809.39009Butzer, P. L.; Hauss, M. 8 1991 The sampling theorem and its unique role in various branches of mathematics. Zbl 0824.94007Butzer, P. L.; Hauss, M.; Stens, R. L. 5 1991 Central factorial numbers and their role in finite difference calculus and approximation. Zbl 0784.41028Butzer, P. L.; Schmidt, M. 5 1991 Eugène Catalan and the rise of Russian science. Zbl 0768.01014Butzer, Paul L.; Jongmans, François 2 1991 On Lagrange interpolation and Kramer-type sampling theorems associated with Sturm-Liouville problems. Zbl 0695.41002Zayed, Ahmed I.; Hinsen, Guido; Butzer, Paul L. 36 1990 ...and 165 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,983 Authors 121 Butzer, Paul Leo 56 Vinti, Gianluca 48 Bardaro, Carlo 41 Mantellini, Ilaria 39 Costarelli, Danilo 31 Weisz, Ferenc 29 Nessel, Rolf Joachim 27 Annaby, Mahmoud H. 27 Stens, Rudolf L. 25 Schmeisser, Gerhard 19 Ntouyas, Sotiris K. 18 Karsli, Harun 18 Tharwat, Mohammed M. 16 Angeloni, Laura 16 Trebels, Walter 15 Abel, Ulrich 15 Agrawal, Purshottam Narain 14 Boche, Holger 14 Görlich, Ernst 14 Tariboon, Jessada 13 Berens, Hubert Anton 13 Zayed, Ahmed I. 12 Cobos, Fernando 12 Ditzian, Zeev 12 Kolomoitsev, Yurii S. 11 Agratini, Octavian 11 Sun, Wenchang 10 Acar, Tuncer 10 Aral, Ali 10 Benchohra, Mouffak 10 Higgins, John Rowland 10 Pogány, Tibor K. 10 Robinson, Derek W. 10 Shaw, Sen-Yen 10 Tikhonov, Sergey Yur’evich 10 Trynin, Aleksandr Yur’evich 10 Uysal, Gumrah 10 Zhou, Xingwei 9 Anastassiou, George Angelos 9 Bustamante González, Jorge 9 Cao, Jinde 9 Dodson, Michael Maurice 9 Mönich, Ullrich Johann 9 Nishishiraho, Toshihiko 9 Skopina, Maria A. 9 Stark, Eberhard L. 8 Boccuto, Antonio 8 Deng, Weihua 8 Di Blasio, Gabriella 8 García, Antonio G. 8 Madych, Wolodymyr R. 8 Pesenson, Isaac Zalmanovich 8 Triggiani, Roberto 8 van Neerven, Jan M. A. M. 8 Walter, Gilbert G. 8 Wu, Ranchao 7 Ahmad, Bashir 7 Al-saedi, Ahmed Eid Salem 7 Asharabi, Rashad M. 7 Doğru, Ogün 7 Duman, Oktay 7 Feichtinger, Hans Georg 7 Gal, Sorin Gheorghe 7 Gröchenig, Karlheinz 7 Hahn, Lothar 7 Kim, Taekyun 7 Li, Changpin 7 Mursaleen, Mohammad 7 Rasa, Ioan 7 Savaré, Giuseppe 7 Scherer, Karl 7 Sinestrari, Eugenio 7 Srivastava, Hari Mohan 7 Styczeń, Krystyn 7 Sunouchi, Gen-ichiro 7 Trujillo, Juan J. 7 Volosivets, Sergeĭ Sergeevich 7 Zhang, Xianmin 6 Akgun, Ramazan 6 Bhrawy, Ali Hassan 6 Bragg, Louis R. 6 Dickmeis, Werner 6 Draganov, Borislav R. 6 Ferreira, Paulo Jorge S. G. 6 Ho, Kwok-Pun 6 Hung, Tran Loc 6 Jansche, Stefan 6 Jeong, Jin-Mun 6 Kilbas, Anatoliĭ Aleksandrovich 6 Kim, Dae San 6 Lunardi, Alessandra 6 Milovanović, Gradimir V. 6 Mishra, Vishnu Narayan 6 Pfeifer, Dietmar 6 Runovski, Konstantin Vsevolodovich 6 Simsek, Yilmaz 6 Song, Zhanjie 6 Spigler, Renato 6 Taşdelen, Fatma 6 Wade, William R. ...and 1,883 more Authors all top 5 Cited in 377 Serials 168 Journal of Approximation Theory 101 Journal of Mathematical Analysis and Applications 67 Results in Mathematics 52 Applied Mathematics and Computation 43 Applicable Analysis 41 Numerical Functional Analysis and Optimization 40 Journal of Functional Analysis 34 The Journal of Fourier Analysis and Applications 32 Tôhoku Mathematical Journal. Second Series 32 Advances in Difference Equations 30 Journal of Computational and Applied Mathematics 30 Acta Mathematica Hungarica 30 Mediterranean Journal of Mathematics 29 Mathematical Notes 28 Proceedings of the American Mathematical Society 26 Analysis Mathematica 25 Abstract and Applied Analysis 24 Computers & Mathematics with Applications 24 Mathematische Zeitschrift 23 Mathematische Annalen 22 Transactions of the American Mathematical Society 22 Integral Transforms and Special Functions 22 Journal of Inequalities and Applications 20 Ukrainian Mathematical Journal 18 Journal of Differential Equations 18 Applied Mathematics Letters 18 Applied and Computational Harmonic Analysis 17 Semigroup Forum 17 Fractional Calculus & Applied Analysis 16 Annali di Matematica Pura ed Applicata. 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RACSAM 9 AIMS Mathematics 9 Constructive Mathematical Analysis 8 International Journal of Control 8 Lithuanian Mathematical Journal 8 Mathematics of Computation 8 BIT 8 Mathematica Slovaca 8 Rendiconti del Circolo Matemàtico di Palermo. Serie II 8 Zeitschrift für Analysis und ihre Anwendungen 8 Mathematical and Computer Modelling 8 Analysis in Theory and Applications 7 Journal d’Analyse Mathématique 7 Monatshefte für Mathematik 7 Siberian Mathematical Journal 7 The Journal of Geometric Analysis 7 Aequationes Mathematicae 7 Fractals 7 Mathematical Problems in Engineering 7 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 7 Acta Mathematica Sinica. English Series 7 Journal of Evolution Equations 7 Analysis and Mathematical Physics 6 Mathematical Methods in the Applied Sciences 6 Compositio Mathematica 6 Computing 6 Journal of Soviet Mathematics 6 Mathematics and Computers in Simulation 6 Historia Mathematica 6 Turkish Journal of Mathematics 6 Journal of Difference Equations and Applications 6 Journal of Applied Mathematics and Computing 5 Discrete Mathematics 5 Journal of the Franklin Institute 5 Physics Letters. A 5 Annales de l’Institut Fourier 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Czechoslovak Mathematical Journal 5 Demonstratio Mathematica 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Acta Mathematicae Applicatae Sinica. English Series 5 Indagationes Mathematicae. New Series 5 Applied Mathematics. Series B (English Edition) 5 Discrete Dynamics in Nature and Society 5 Hacettepe Journal of Mathematics and Statistics ...and 277 more Serials all top 5 Cited in 53 Fields 759 Approximations and expansions (41-XX) 420 Harmonic analysis on Euclidean spaces (42-XX) 339 Operator theory (47-XX) 288 Functional analysis (46-XX) 265 Ordinary differential equations (34-XX) 241 Real functions (26-XX) 238 Information and communication theory, circuits (94-XX) 200 Numerical analysis (65-XX) 174 Partial differential equations (35-XX) 127 Probability theory and stochastic processes (60-XX) 100 Special functions (33-XX) 98 Integral transforms, operational calculus (44-XX) 83 Integral equations (45-XX) 82 Number theory (11-XX) 65 Functions of a complex variable (30-XX) 61 Systems theory; control (93-XX) 59 Abstract harmonic analysis (43-XX) 57 Sequences, series, summability (40-XX) 49 Statistics (62-XX) 40 Combinatorics (05-XX) 40 Dynamical systems and ergodic theory (37-XX) 30 History and biography (01-XX) 28 Measure and integration (28-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 24 Biology and other natural sciences (92-XX) 21 Difference and functional equations (39-XX) 20 Fluid mechanics (76-XX) 19 Topological groups, Lie groups (22-XX) 16 Potential theory (31-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Computer science (68-XX) 14 Mechanics of deformable solids (74-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Quantum theory (81-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Group theory and generalizations (20-XX) 5 Field theory and polynomials (12-XX) 5 Differential geometry (53-XX) 5 Mechanics of particles and systems (70-XX) 4 General and overarching topics; collections (00-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Geophysics (86-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 General topology (54-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 Optics, electromagnetic theory (78-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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