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Butzer, Paul Leo

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Author ID: butzer.paul-leo Recent zbMATH articles by "Butzer, Paul Leo"
Published as: Butzer, P.; Butzer, P. L.; Butzer, P.-L.; Butzer, Paul; Butzer, Paul L.; Butzer, Paul Leo
Homepage: http://www.matha.rwth-aachen.de/de/mitarbeiter/butzer/
External Links: MGP · Wikidata · ResearchGate · dblp · GND · MacTutor
Documents Indexed: 287 Publications since 1952, including 23 Books
Biographic References: 10 Publications
all top 5

Co-Authors

44 single-authored
45 Stens, Rudolf L.
19 Nessel, Rolf Joachim
16 Schmeisser, Gerhard
13 Bardaro, Carlo
11 Hahn, Lothar
10 Westphal, Ursula
9 Berens, Hubert Anton
9 Hauss, Michael
9 Mantellini, Ilaria
9 Schulz, Dietmar
9 Trebels, Walter
8 Engels, Wolfgang
8 Higgins, John Rowland
8 Scherer, Karl
7 Jansche, Stefan
7 Stark, Eberhard L.
6 Ferreira, Paulo Jorge S. G.
6 Kilbas, Anatoliĭ Aleksandrovich
6 Szőkefalvi-Nagy, Béla
6 Trujillo, Juan J.
5 Dickmeis, Werner
5 Gessinger, Andreas
5 Görlich, Ernst
5 Jongmans, François
5 Wehrens, Matthias
4 Hinsen, Guido
4 Kirschfink, H. J. W.
4 Nasri-Roudsari, Gabriele
4 Splettstößer, Wolfgang
4 Vinti, Gianluca
3 Abel, Ulrich
3 Annaby, Mahmoud H.
3 Dodson, M. Maurice
3 Fischer, Adelheid
3 Pawelke, Siegfried
3 Pogány, Tibor K.
3 Ries, Sigmar
3 Roeckerath, Marie-Theres
3 Stanković, Radomir S.
2 Endow, Yasushi
2 Feher, Franziska
2 Fridli, Sándor
2 Gather, Ursula
2 Golubov, Boris Ivanovich
2 Jansen, Manfred
2 Lange, Oscar
2 Lei, Junjiang
2 Neuheuser, H. G.
2 Oberschelp, Walter
2 Onneweer, Cornelis W.
2 Palladino, Fábio H.
2 Pichler, Franz Rupert
2 Schipp, Ferenc Schipp
2 Schmidt, Michael J.
2 Seidler, P.
2 Su, Weiyi
2 Tillmann, Heinz Günther
2 Wade, William R.
2 Wagner, Heinz-Josef
2 Wagner, Hermann-Josef
2 Wipperfürth, U.
2 Zilles, Hubert
1 Al-Musallam, Fadhel A.
1 Alimov, Alexey R.
1 Baricz, Árpád
1 Becker, Michael
1 Berdysheva, Elena E.
1 Bleimann, G.
1 Böttcher, Albrecht
1 Carbone, Lisa J.
1 Carbone, Luciano
1 Dahmen, Wolfgang A.
1 DeVore, Ron
1 Dyckhoff, Harald
1 Everitt, William Norrie
1 Filbir, Frank-Dieter
1 Flocke, Stefan
1 Gieseler, S.
1 Heinig, Georg
1 Jansen, Hu.
1 Jetter, Kurt
1 Johnen, Hans
1 Jongen, Hubertus Th.
1 Junggeburth, J. J.
1 Kahane, Jean-Pierre
1 Karsli, Harun
1 Kaufmann, Franz-Josef
1 Kemper, John T.
1 Kerner, Martin
1 Kirschfink, Heribert
1 Köhnen, Walter
1 Kolbe, Werner
1 Koliha, Jerry J.
1 König, Heinz
1 Koornwinder, Tom H.
1 Korevaar, Jacob
1 Kozakiewicz, Wacław
1 Leclerc, Marion
1 Lohrmann, Dietrich
1 Markett, Clemens
...and 29 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
5 Applicable Analysis
5 Journal of Mathematical Analysis and Applications
5 Numerical Functional Analysis and Optimization
5 Results in Mathematics
5 The Journal of Fourier Analysis and Applications
4 Canadian Journal of Mathematics
4 Journal of Multivariate Analysis
4 Tohoku 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 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 Bulletin of the London Mathematical Society
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 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 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
1 Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften. Mathematische Reihe

Publications by Year

Citations contained in zbMATH

256 Publications have been cited 3,394 times in 1,972 Documents Cited by Year
Semi-groups of operators and approximation. Zbl 0164.43702
Butzer, Paul L.; Berens, H.
459
1967
Fourier analysis and approximation. Vol. 1: One-dimensional theory. Zbl 0217.42603
Butzer, Paul L.; Nessel, R. J.
377
1971
An introduction to fractional calculus. Zbl 0987.26005
Butzer, P. L.; Westphal, U.
120
2000
The sampling theorem and linear prediction in signal analysis. Zbl 0633.94002
Butzer, P. L.; Splettstößer, W.; Stens, R. L.
97
1988
Fractional calculus in the Mellin setting and Hadamard-type fractional integrals. Zbl 0995.26007
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
64
2002
Compositions of Hadamard-type fractional integration operators and the semigroup property. Zbl 1027.26004
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
63
2002
Mellin transform analysis and integration by parts for Hadamard-type fractional integrals. Zbl 1022.26011
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
57
2002
Sampling theory for not necessarily band-limited functions: A historical overview. Zbl 0746.94002
Butzer, P. L.; Stens, R. L.
57
1992
A direct approach to the Mellin transform. Zbl 0885.44004
Butzer, Paul L.; Jansche, Stefan
56
1997
Limitierungsverfahren von Reihen mehrdimensionaler Kugelfunktionen und deren Saturationsverhalten. Zbl 0201.08402
Berens, H.; Butzer, Paul L.; Pawelke, S.
55
1968
A survey of the Whittaker-Shannon sampling theorem and some of its extensions. Zbl 0523.94003
Butzer, Paul L.
53
1983
A Bernstein-type operator approximating continuous functions on the semi-axis. Zbl 0437.41021
Bleimann, G.; Butzer, Paul L.; Hahn, L.
52
1980
Walsh-Fourier series and the concept of a derivative. Zbl 0256.42016
Butzer, Paul L.; Wagner, H. J.
45
1973
Linear combinations of Bernstein polynomials. Zbl 0051.05002
Butzer, Paul L.
44
1953
Kantorovich-type generalized sampling series in the setting of Orlicz spaces. Zbl 1156.41307
Bardaro, C.; Vinti, G.; Butzer, P. L.; Stens, R. L.
39
2007
Central factorial numbers; their main properties and some applications. Zbl 0659.10012
Butzer, P. L.; Schmidt, M.; Stark, E. L.; Vogt, L.
37
1989
Best trigonometric approximation, fractional order derivatives and Lipschitz classes. Zbl 0357.26003
Butzer, Paul L.; Dyckhoff, H.; Görlich, E.; Stens, R. L.
36
1977
On Lagrange interpolation and Kramer-type sampling theorems associated with Sturm-Liouville problems. Zbl 0695.41002
Zayed, Ahmed I.; Hinsen, Guido; Butzer, Paul L.
34
1990
Approximation of continuous and discontinuous functions by generalized sampling series. Zbl 0654.41004
Butzer, P. L.; Ries, S.; Stens, R. L.
33
1987
Fourier-transform methods in the theory of approximation. Zbl 0107.32101
Butzer, Paul L.
33
1960
Convergence in variation and rates of approximation for Bernstein-type polynomials and singular convolution integrals. Zbl 1049.41015
Bardaro, C.; Butzer, P. L.; Stens, R. L.; Vinti, G.
27
2003
Approximationsprozesse und Interpolationsmethoden. (B.I.- Hochschulskripten. 826/826a). Zbl 0177.08501
Butzer, Paul L.; Scherer, K.
27
1968
Über den Graf der Approximation des Identitätsoperators durch Halbgruppen von linearen Operatoren und Anwendungen auf die Theorie der singulären Integrale. Zbl 0081.33403
Butzer, Paul L.
27
1957
Prediction by samples from the past with error estimates covering discontinuous signals. Zbl 1366.94216
Bardaro, Carlo; Butzer, Paul L.; Stens, Rudolf L.; Vinti, Gianluca
25
2010
Classical and approximate sampling theorems; studies in the \(L^{p}(\mathbb R)\) and the uniform norm. Zbl 1089.94013
Butzer, P. L.; Higgins, J. R.; Stens, R. L.
25
2005
Sampling theory of signal analysis. Zbl 0961.94009
Butzer, Paul L.; Higgins, J. R.; Stens, R. L.
24
2000
Aspects of de La Vallée Poussin’s work in approximation and its influence. Zbl 0782.01013
Butzer, P. L.; Nessel, R. J.
24
1993
On the fundamental approximation theorems of D. Jackson, S.N. Bernstein and theorems of M. Zamansky and S.B. Stechkin. Zbl 0179.09101
Butzer, Paul L.; Scherer, K.
24
1969
On dyadic analysis based on the pointwise dyadic derivative. Zbl 0324.42011
Butzer, Paul L.; Wagner, H. J.
23
1975
On the extensions of Bernstein polynomials to the infinite interval. Zbl 0056.28703
Butzer, Paul L.
22
1954
On two-dimensional Bernstein polynomials. Zbl 0050.07002
Butzer, Paul L.
21
1953
Factorial functions and Stirling numbers of fractional orders. Zbl 0707.05002
Butzer, P. L.; Hauss, M.; Schmidt, M.
20
1989
A modification of the Whittaker-Kotelnikov-Shannon sampling series. Zbl 0582.41004
Butzer, Paul L.; Stens, R. L.
20
1985
Jackson and Bernstein-type inequalities for families of commutative operators in Banach spaces. Zbl 0234.41013
Butzer, Paul L.; Scherer, K.
20
1972
Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals. Zbl 1087.94013
Bardaro, C.; Butzer, P. L.; Stens, R. L.; Vinti, G.
18
2006
A self-contained approach to Mellin transform analysis for square integrable functions. Applications. Zbl 0961.44005
Butzer, Paul L.; Jansche, Stefan
18
1999
Sturm-Liouville boundary value problems and Lagrange interpolation series. Zbl 0813.34028
Everitt, W. N.; Schöttler, G.; Butzer, P. L.
18
1994
Sampling theorems associated with fourth- and higher-order self-adjoint eigenvalue problems. Zbl 0808.34091
Butzer, P. L.; Schöttler, G.
17
1994
On the rate of approximation in the central limit theorem. Zbl 0298.60014
Butzer, Paul L.; Hahn, L.; Westphal, U.
17
1975
Voronovskaya-type theorems for derivatives of the Beinstein-Chlodovsky polynomials and the Szász-Mirakyan operator. Zbl 1236.41022
Butzer, Paul Leo; Karsli, Harun
16
2009
Approximation of signals using measured sampled values and error analysis. Zbl 1089.94503
Butzer, Paul L.; Lei, Junjiang
16
2000
Kramer’s sampling theorem in signal analysis and its role in mathematics. Zbl 0889.94003
Butzer, P. L.; Nasri-Roudsari, G.
16
1997
The Euler-MacLaurin summation formula, the sampling theorem, and approximate integration over the real axis. Zbl 0534.65004
Butzer, Paul L.; Stens, R. L.
16
1983
On summation processes of Fourier expansions in Banach spaces. I: Comparison theorems. Zbl 0242.42016
Butzer, Paul L.; Nessel, R. J.; Trebels, Walter
16
1972
Approximation theorems for semi-groups of bounded linear transformations. Zbl 0094.30602
Butzer, Paul L.; Tillmann, H. G.
16
1960
The exponential sampling theorem of signal analysis. Zbl 0913.44002
Butzer, Paul L.; Jansche, Stefan
15
1998
The approximate sampling theorem, Poisson’s sum formula, a decomposition theorem for Parseval’s equation and their interconnections. Zbl 0928.42022
Butzer, P. L.; Gessinger, A.
15
1997
Generalized sampling approximation of multivariate signals; theory and some applications. Zbl 0768.42013
Butzer, P. L.; Fischer, A.; Stens, R. L.
15
1990
A sampling theorem for duration-limited functions with error estimates. Zbl 0363.94009
Butzer, Paul L.; Splettstösser, W.
15
1977
An access to fractional differentiation via fractional difference quotients. Zbl 0307.26006
Butzer, Paul L.; Westphal, Ursula
15
1975
Zur Frage der Saturationsklassen singulärer Integraloperatoren. Zbl 0089.11303
Butzer, Paul L.
15
1958
“Riemann’s example” of a continuous nondifferentiable function in the light of two letters (1865) of Christoffel to Prym. Zbl 0629.01013
Butzer, Paul L.; Stark, Eberhard L.
14
1986
Representation and approximation of functions by general singular integrals. I A, I B. Zbl 0107.32003
Butzer, Paul L.
14
1960
On Stirling functions of the second kind. Zbl 0738.11025
Butzer, P. L.; Hauss, M.
13
1991
The Shannon sampling series and the reconstruction of signals in terms of linear, quadratic and cubic splines. Zbl 0617.41020
Butzer, P. L.; Engels, W.; Ries, S.; Stens, R. L.
13
1986
Über die Fundamentalsätze der klassischen Approximationstheorie in abstrakten Räumen. Zbl 0186.11001
Butzer, Paul L.; Scherer, K.
13
1969
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 1314.94034
Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L.
12
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 1217.30025
Butzer, P. L.; Ferreira, P. J. S. G.; Higgins, J. R.; Schmeisser, G.; Stens, R. L.
12
2011
Lipschitz spaces on compact manifolds. Zbl 0217.49503
Butzer, Paul L.; Johnen, H.
12
1971
Representation of fractional powers of infinitesimal generators of semigroups. Zbl 0153.45203
Berens, H.; Butzer, Paul L.; Westphal, U.
12
1968
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 0383.60025
Butzer, Paul L.; Hahn, L.
11
1978
General theorems on rates of convergence in distribution of random variables I. General limit theorems. Zbl 0383.60024
Butzer, Paul L.; Hahn, L.
11
1978
On summation processes of Fourier expansions in Banach spaces. II: Saturation theorems. Zbl 0247.42013
Butzer, Paul L.; Nessel, R. J.; Trebels, Walter
11
1972
Saturationsklassen und asymptotische Eigenschaften trigonometrischer singulärer Integrale. Zbl 0166.07102
Butzer, Paul L.; Görlich, E.
11
1966
The exponential sampling theorem of signal analysis and the reproducing kernel formula in the Mellin transform setting. Zbl 1346.94072
Bardaro, Carlo; Butzer, Paul Leo; Mantellini, Ilaria
10
2014
The summation formulae of Euler-Maclaurin, Abel-Plana, Poisson, and their interconnections with the approximate sampling formula of signal analysis. Zbl 1225.65007
Butzer, P. L.; Ferreira, P. J. S. G.; Schmeisser, G.; Stens, R. L.
10
2011
Mellin transform theory and the role of its differential and integral operators. Zbl 0923.44002
Butzer, Paul L.; Jansche, Stefan
10
1998
Errors in truncated sampling series with measured sampled values for non-necessarily bandlimited functions. Zbl 0982.94008
Butzer, Paul L.; Lei, Junjiang
10
1998
The finite Mellin transform, Mellin-Fourier series, and the Mellin-Poisson summation formula. Zbl 0905.44003
Butzer, Paul L.; Jansche, Stefan
10
1998
Chebyshev transform methods in the theory of best algebraic approximation. Zbl 0337.41026
Butzer, Paul L.; Stens, R. L.
10
1976
Multipliers with respect to spectral measures in Banach spaces and approximation. I: Radial multipliers in connection with Riesz-bounded spectral measures. Zbl 0268.41019
Butzer, Paul L.; Nessel, R. J.; Trebels, Walter
10
1973
Ableitungen von trigonometrischen Approximationsprozessen. Zbl 0165.39101
Butzer, Paul L.; Pawelke, S.
10
1967
Beziehungen zwischen den Riemannschen, Taylorschen und gewöhnlichen Ableitungen reellwertiger Funktionen. Zbl 0106.27002
Butzer, Paul L.
10
1961
Sur le rôle de la transformation de Fourier dans quelques problèmes d’approximation. Zbl 0192.15903
Butzer, P.-L.
10
1959
On the Paley-Wiener theorem in the Mellin transform setting. Zbl 1338.44006
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
9
2016
The foundations of fractional calculus in the Mellin transform setting with applications. Zbl 1334.47047
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria
9
2015
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 1304.30037
Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L.
9
2013
P. L. Chebyshev (1821-1894). A guide to his life and work. Zbl 0934.01017
Butzer, Paul; Jongmans, François
9
1999
Stirling numbers, central factorial numbers, and representations of the Riemann zeta function. Zbl 0724.11038
Butzer, P. L.; Markett, C.; Schmidt, M.
9
1991
Magnitude of the truncation error in sampling expansions of band-limited signals. Zbl 0564.94004
Butzer, Paul L.; Engels, Wolfgang; Scheben, Ursula
9
1982
Dyadic calculus and sampling theorems for functions with multidimensional domain. I: General theory. Zbl 0514.42028
Butzer, Paul L.; Engels, W.
9
1982
The continuous Legendre transform, its inverse transform, and applications. Zbl 0447.44001
Butzer, Paul L.; Stens, R. L.; Wehrens, M.
9
1980
Generalized Hardy and Hardy-Littlewood inequalities in rearrangement- invariant spaces. Zbl 0385.26013
Butzer, Paul L.; Feher, F.
9
1978
The operational properties of the Chebyshev transform. I: General properties. Zbl 0375.44003
Butzer, Paul L.; Stens, R. L.
9
1977
On the singular integral of de la Vallee-Poussin. Zbl 0073.28103
Butzer, Paul L.
9
1956
The classical and approximate sampling theorems and their equivalence for entire functions of exponential type. Zbl 1370.42002
Butzer, P. L.; Schmeisser, G.; Stens, R. L.
8
2014
Interpolation and sampling: E. T. Whittaker, K. Ogura and their followers. Zbl 1213.94027
Butzer, P. L.; Ferreira, P. J. S. G.; Higgins, J. R.; Saitoh, S.; Schmeisser, G.; Stens, R. L.
8
2011
A retrospective on 60 years of approximation theory and associated fields. Zbl 1194.41002
Butzer, Paul L.
8
2009
Stirling functions of the second kind in the setting of difference and fractional calculus. Zbl 1086.11014
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
8
2003
Ergodic theorems for semigroups and cosine operator functions at zero and infinity with rates; applications to partial differential equations. A survey. Zbl 0843.47004
Butzer, P. L.; Gessinger, A.
8
1995
Eulerian numbers with fractional order parameters. Zbl 0797.11025
Butzer, P. L.; Hauss, M.
8
1993
Generalized sampling approximation of multivariate signals; general theory. Zbl 0789.42026
Butzer, P. L.; Fischer, A.; Stens, R. L.
8
1993
Stirling functions of first and second kind; some new applications. Zbl 0809.39009
Butzer, P. L.; Hauss, M.
8
1991
Two-dimensional nonuniform sampling expansions - an iterative approach. I: Theory of two-dimensional band limited signals. Zbl 0646.94004
Butzer, Paul L.; Hinsen, Guido
8
1989
Prediction of non-bandlimited signals from past samples in terms of splines of low degree. Zbl 0627.94003
Butzer, P. L.; Stens, R. L.
8
1987
The Poisson summation formula, Whittaker’s cardinal series and approximate integration. Zbl 0549.94001
Butzer, Paul L.; Stens, R. L.
8
1983
Central limit theorem and weak law of large numbers with rates for martingales in Banach spaces. Zbl 0515.60014
Butzer, Paul L.; Hahn, L.; Roeckerath, M. Th.
8
1983
Approximation und Interpolation durch verallgemeinerte Abtastsummen. Zbl 0364.42001
Butzer, Paul L.; Splettstößer, W.
8
1977
On the Lax equivalence theorem equipped with orders. Zbl 0359.65078
Butzer, Paul L.; Weis, R.
8
1977
The mean ergodic theorem and saturation. Zbl 0217.45202
Butzer, Paul L.; Westphal, U.
8
1971
Development of a new concept of polar analytic functions useful in Mellin analysis. Zbl 1428.30003
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
1
2019
Quadrature formulae for the positive real axis in the setting of Mellin analysis: sharp error estimates in terms of the Mellin distance. Zbl 1401.41020
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
2
2018
The distance between the general Poisson summation formula and that for bandlimited functions; applications to quadrature formulae. Zbl 1396.41028
Butzer, 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 1391.44004
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
5
2017
A generalization of the Paley-Wiener theorem for Mellin transforms and metric characterization of function spaces. Zbl 1377.44004
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
4
2017
A fresh approach to classical Eisenstein series and the newer Hilbert-Eisenstein series. Zbl 1422.11039
Butzer, Paul L.; Pogány, Tibor K.
1
2017
On the Paley-Wiener theorem in the Mellin transform setting. Zbl 1338.44006
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
9
2016
The Mellin-Parseval formula and its interconnections with the exponential sampling theorem of optical physics. Zbl 1335.30008
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria
6
2016
Mellin analysis and its basic associated metric – applications to sampling theory. Zbl 1374.44001
Bardaro, C.; Butzer, P. L.; Mantellini, I.; Schmeisser, G.
4
2016
Sobolev spaces of fractional order, Lipschitz spaces, readapted modulation spaces and their interrelations; applications. Zbl 1359.41002
Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L.
1
2016
The foundations of fractional calculus in the Mellin transform setting with applications. Zbl 1334.47047
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria
9
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 1328.43002
Stanković, 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
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 1328.43001
Stanković, 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
In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021
Alimov, 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
1
2015
The exponential sampling theorem of signal analysis and the reproducing kernel formula in the Mellin transform setting. Zbl 1346.94072
Bardaro, Carlo; Butzer, Paul Leo; Mantellini, Ilaria
10
2014
The classical and approximate sampling theorems and their equivalence for entire functions of exponential type. Zbl 1370.42002
Butzer, P. L.; Schmeisser, G.; Stens, R. L.
8
2014
Seven pivotal theorems of Fourier analysis, signal analysis, numerical analysis and number theory: their interconnections. Zbl 1306.30009
Butzer, P. L.; Dodson, M. M.; Ferreira, P. J. S. G.; Higgins, J. R.; Schmeisser, G.; Stens, R. L.
6
2014
Alternating Mathieu series, Hilbert-Eisenstein series and their generalized omega functions. Zbl 1326.33031
Baricz, Árpád; Butzer, Paul L.; Pogány, Tibor K.
5
2014
Basic relations valid for the Bernstein spaces \(B^2_{\sigma}\) and their extensions to larger function spaces via a unified distance concept. Zbl 1315.42014
Butzer, 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 1304.30037
Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L.
9
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 1314.94034
Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L.
12
2012
Complete asymptotic expansion for generalized Favard operators. Zbl 1262.41023
Abel, 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 1217.30025
Butzer, P. L.; Ferreira, P. J. S. G.; Higgins, J. R.; Schmeisser, G.; Stens, R. L.
12
2011
The summation formulae of Euler-Maclaurin, Abel-Plana, Poisson, and their interconnections with the approximate sampling formula of signal analysis. Zbl 1225.65007
Butzer, P. L.; Ferreira, P. J. S. G.; Schmeisser, G.; Stens, R. L.
10
2011
Interpolation and sampling: E. T. Whittaker, K. Ogura and their followers. Zbl 1213.94027
Butzer, P. L.; Ferreira, P. J. S. G.; Higgins, J. R.; Saitoh, S.; Schmeisser, G.; Stens, R. L.
8
2011
Multiplex signal transmission and the development of sampling techniques: the work of Herbert Raabe in contrast to that of Claude Shannon. Zbl 1210.94006
Butzer, P. L.; Dodson, M. M.; Ferreira, P. J. S. G.; Higgins, J. R.; Lange, O.; Seidler, P.; Stens, R. L.
5
2011
Prediction by samples from the past with error estimates covering discontinuous signals. Zbl 1366.94216
Bardaro, Carlo; Butzer, Paul L.; Stens, Rudolf L.; Vinti, Gianluca
25
2010
Herbert Raabe’s work in multiplex signal transmission and his development of sampling methods. Zbl 1194.01071
Butzer, 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 1236.41022
Butzer, Paul Leo; Karsli, Harun
16
2009
A retrospective on 60 years of approximation theory and associated fields. Zbl 1194.41002
Butzer, Paul L.
8
2009
The \(a\)-Drazin inverse and ergodic behaviour of semigroups and cosine operator functions. Zbl 1211.47001
Butzer, P. L.; Koliha, J. J.
2
2009
Reconstruction of signals in \(L^p(\mathbb R)\)-space by generalized sampling series based on linear combinations of \(B\)-splines. Zbl 1146.41002
Butzer, P. L.; Stens, R. L.
4
2008
Kantorovich-type generalized sampling series in the setting of Orlicz spaces. Zbl 1156.41307
Bardaro, C.; Vinti, G.; Butzer, P. L.; Stens, R. L.
39
2007
Stirling functions of first kind in the setting of fractional calculus and generalized differences. Zbl 1135.33010
Butzer, P. L.; Kilbas, A. A.; Rodríguez-Germá, L.; Trujillo, J. J.
2
2007
Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals. Zbl 1087.94013
Bardaro, C.; Butzer, P. L.; Stens, R. L.; Vinti, G.
18
2006
A linear ODE for the Omega function associated with the Euler function \(E_{\alpha}(z)\) and the Bernoulli function \(B_{\alpha }(z)\). Zbl 1134.33326
Butzer, P. L.; Pogány, Tibor K.; Srivastava, H. M.
7
2006
Otto Blumenthal (1876–1944) in retrospect. Zbl 1194.01072
Butzer, Paul; Volkmann, Lutz
3
2006
Classical and approximate sampling theorems; studies in the \(L^{p}(\mathbb R)\) and the uniform norm. Zbl 1089.94013
Butzer, P. L.; Higgins, J. R.; Stens, R. L.
25
2005
Sampling in Paley-Wiener spaces associated with fractional integro-differential operators. Zbl 1054.45002
Annaby, Mahmoud; Butzer, Paul
1
2004
Convergence in variation and rates of approximation for Bernstein-type polynomials and singular convolution integrals. Zbl 1049.41015
Bardaro, C.; Butzer, P. L.; Stens, R. L.; Vinti, G.
27
2003
Stirling functions of the second kind in the setting of difference and fractional calculus. Zbl 1086.11014
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
8
2003
Generalized Stirling functions of second kind and representations of fractional order differences via derivatives. Zbl 1096.11500
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
4
2003
Fractional calculus in the Mellin setting and Hadamard-type fractional integrals. Zbl 0995.26007
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
64
2002
Compositions of Hadamard-type fractional integration operators and the semigroup property. Zbl 1027.26004
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
63
2002
Mellin transform analysis and integration by parts for Hadamard-type fractional integrals. Zbl 1022.26011
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
57
2002
Bernoulli functions; Hilbert-type Poisson summation formulae, partial fraction expansions, and Hilbert-Eisenstein series. Zbl 1081.11013
Butzer, Paul L.
5
2002
On sampling associated with singular Sturm-Liouville eigenvalue problems: The limit-circle case. Zbl 1041.34078
Annaby, M. H.; Butzer, P. L.
5
2002
An introduction to fractional calculus. Zbl 0987.26005
Butzer, P. L.; Westphal, U.
120
2000
Sampling theory of signal analysis. Zbl 0961.94009
Butzer, Paul L.; Higgins, J. R.; Stens, R. L.
24
2000
Approximation of signals using measured sampled values and error analysis. Zbl 1089.94503
Butzer, Paul L.; Lei, Junjiang
16
2000
Mellin-Fourier series and the classical Mellin transform. Zbl 0959.44006
Butzer, P. L.; Jansche, S.
3
2000
Mellin-type differential equations and associated sampling expansions. Zbl 0970.34021
Annaby, M. H.; Butzer, P. L.
3
2000
The correspondence of Charles Hermite and Ernesto Cesaro. Zbl 1194.01019
Butzer, P. L.; Carbone, L.; Jongmans, F.; Palladino, F.
1
2000
Proceedings of the international conference on Fourier analysis and applications, Kuwait, May 3–6, 1998. Zbl 0945.00023
Al-Musallam, F. (ed.); Böttcher, A. (ed.); Butzer, P. (ed.); Heinig, G. (ed.); Vu Kim Tuan (ed.)
1
2000
A self-contained approach to Mellin transform analysis for square integrable functions. Applications. Zbl 0961.44005
Butzer, Paul L.; Jansche, Stefan
18
1999
P. L. Chebyshev (1821-1894). A guide to his life and work. Zbl 0934.01017
Butzer, Paul; Jongmans, François
9
1999
The correspondence between Eugene Catalan and Ernesto Cesaro. Zbl 1194.01020
Butzer, P. L.; Carbone, L.; Jongmans, F.; Palladino, F.
1
1999
The exponential sampling theorem of signal analysis. Zbl 0913.44002
Butzer, Paul L.; Jansche, Stefan
15
1998
Mellin transform theory and the role of its differential and integral operators. Zbl 0923.44002
Butzer, Paul L.; Jansche, Stefan
10
1998
Errors in truncated sampling series with measured sampled values for non-necessarily bandlimited functions. Zbl 0982.94008
Butzer, Paul L.; Lei, Junjiang
10
1998
The finite Mellin transform, Mellin-Fourier series, and the Mellin-Poisson summation formula. Zbl 0905.44003
Butzer, Paul L.; Jansche, Stefan
10
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 0952.01006
Butzer, Paul L.
1
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. Zbl 0942.00019
Butzer, P. L. (ed.); Jongen, H. Th. (ed.); Oberschelp, W. (ed.)
1
1998
A direct approach to the Mellin transform. Zbl 0885.44004
Butzer, Paul L.; Jansche, Stefan
56
1997
Kramer’s sampling theorem in signal analysis and its role in mathematics. Zbl 0889.94003
Butzer, 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 0928.42022
Butzer, P. L.; Gessinger, A.
15
1997
Connections between the approximation of semigroup and cosine operator functions. Zbl 0885.41016
Butzer, P. L.; Gessinger, A.
2
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. Zbl 1044.00530
Butzer, P. (ed.); Kerner, M. (ed.); Oberschelp, W. (ed.)
1
1997
Ergodic theorems for semigroups and cosine operator functions at zero and infinity with rates; applications to partial differential equations. A survey. Zbl 0843.47004
Butzer, P. L.; Gessinger, A.
8
1995
An extension of Kramer’s sampling theorem for not necessarily “bandlimited” signals – the aliasing error. Zbl 0835.94004
Butzer, P. L.; Stens, R. L.
3
1995
The mean ergodic theorem for cosine operator functions with optimal and non-optimal rates. Zbl 1002.47500
Butzer, P. L.; Gessinger, A.
3
1995
Sturm-Liouville boundary value problems and Lagrange interpolation series. Zbl 0813.34028
Everitt, W. N.; Schöttler, G.; Butzer, P. L.
18
1994
Sampling theorems associated with fourth- and higher-order self-adjoint eigenvalue problems. Zbl 0808.34091
Butzer, P. L.; Schöttler, G.
17
1994
Euler functions \(E_ \alpha(z)\) with complex \(\alpha\) and applications. Zbl 0849.11021
Butzer, Paul L.; Flocke, Stefan; Hauss, Michael
5
1994
The Hausdorff-Young theorems of Fourier analysis and their impact. Zbl 0978.42500
Butzer, P. L.
3
1994
Scaling functions and wavelets with vanishing moments. Zbl 0852.42022
Butzer, P. L.; Fischer, A.; Rückforth, K.
3
1994
Aspects of de La Vallée Poussin’s work in approximation and its influence. Zbl 0782.01013
Butzer, P. L.; Nessel, R. J.
24
1993
Eulerian numbers with fractional order parameters. Zbl 0797.11025
Butzer, P. L.; Hauss, M.
8
1993
Generalized sampling approximation of multivariate signals; general theory. Zbl 0789.42026
Butzer, P. L.; Fischer, A.; Stens, R. L.
8
1993
Sampling expansions for Jacobi functions and their applications. Zbl 0790.33011
Butzer, Paul L.; Schöttler, Gabriele
4
1993
Science in Western and Eastern civilization in Carolingian times. Zbl 0781.01004
Butzer, Paul Leo (ed.); Lohrmann, Dietrich (ed.)
3
1993
Sampling theory for not necessarily band-limited functions: A historical overview. Zbl 0746.94002
Butzer, P. L.; Stens, R. L.
57
1992
Functional analytic methods in the solution of the fundamental theorems on best-weighted algebraic approximation. Zbl 0782.41030
Butzer, P. L.; Jansche, S.; Stens, R. L.
6
1992
Integral and rapidly converging series representations of the Dirichlet \(L\)-functions \(L_ 1(s)\) and \(L_{-4}(s)\). Zbl 0760.11022
Butzer, P. L.; Hauss, M.
4
1992
Riemann zeta function: Rapidly converging series and integral representations. Zbl 0746.11034
Butzer, P. L.; Hauss, M.
3
1992
Bernoulli numbers and polynomials of arbitrary complex indices. Zbl 0768.11010
Butzer, P. L.; Hauss, M.; Leclerc, M.
2
1992
On Stirling functions of the second kind. Zbl 0738.11025
Butzer, P. L.; Hauss, M.
13
1991
Stirling numbers, central factorial numbers, and representations of the Riemann zeta function. Zbl 0724.11038
Butzer, P. L.; Markett, C.; Schmidt, M.
9
1991
Stirling functions of first and second kind; some new applications. Zbl 0809.39009
Butzer, P. L.; Hauss, M.
8
1991
Central factorial numbers and their role in finite difference calculus and approximation. Zbl 0784.41028
Butzer, P. L.; Schmidt, M.
5
1991
The sampling theorem and its unique role in various branches of mathematics. Zbl 0824.94007
Butzer, P. L.; Hauss, M.; Stens, R. L.
5
1991
Eugène Catalan and the rise of Russian science. Zbl 0768.01014
Butzer, Paul L.; Jongmans, François
3
1991
On Lagrange interpolation and Kramer-type sampling theorems associated with Sturm-Liouville problems. Zbl 0695.41002
Zayed, Ahmed I.; Hinsen, Guido; Butzer, Paul L.
34
1990
Generalized sampling approximation of multivariate signals; theory and some applications. Zbl 0768.42013
Butzer, P. L.; Fischer, A.; Stens, R. L.
15
1990
Background to an extension of Gibbs differentiation in Walsh analysis. Zbl 0726.42018
Butzer, P. L.; Engels, W.
1
1990
Central factorial numbers; their main properties and some applications. Zbl 0659.10012
Butzer, P. L.; Schmidt, M.; Stark, E. L.; Vogt, L.
37
1989
Factorial functions and Stirling numbers of fractional orders. Zbl 0707.05002
Butzer, P. L.; Hauss, M.; Schmidt, M.
20
1989
Two-dimensional nonuniform sampling expansions - an iterative approach. I: Theory of two-dimensional band limited signals. Zbl 0646.94004
Butzer, Paul L.; Hinsen, Guido
8
1989
Two-dimensional nonuniform sampling expansions - an iterative approach. II: Reconstruction formulae and applications. Zbl 0646.94005
Butzer, Paul L.; Hinsen, Guido
7
1989
P. L. Chebyshev (1821-1894) and his contacts with Western European scientists. Zbl 0672.01016
Butzer, Paul L.; Jongmans, François
5
1989
...and 156 more Documents
all top 5

Cited by 1,877 Authors

117 Butzer, Paul Leo
46 Vinti, Gianluca
43 Bardaro, Carlo
35 Mantellini, Ilaria
31 Nessel, Rolf Joachim
30 Costarelli, Danilo
29 Weisz, Ferenc
26 Annaby, Mahmoud H.
25 Stens, Rudolf L.
22 Schmeisser, Gerhard
19 Ntouyas, Sotiris K.
16 Karsli, Harun
16 Trebels, Walter
15 Abel, Ulrich
15 Tharwat, Mohammed M.
14 Angeloni, Laura
14 Boche, Holger
14 Görlich, Ernst
14 Tariboon, Jessada
13 Berens, Hubert Anton
13 Ditzian, Zeev
13 Zayed, Ahmed I.
11 Agratini, Octavian
11 Cobos, Fernando
11 Sun, Wenchang
10 Higgins, John Rowland
10 Robinson, Derek W.
10 Shaw, Sen-Yen
10 Zhou, Xingwei
9 Anastassiou, George Angelos
9 Di Blasio, Gabriella
9 Mönich, Ullrich Johann
9 Nishishiraho, Toshihiko
9 Stark, Eberhard L.
9 Tikhonov, Sergey Yur’evich
9 Triggiani, Roberto
9 Trynin, Aleksandr Yur’evich
9 Uysal, Gumrah
8 Benchohra, Mouffak
8 Dickmeis, Werner
8 Doğru, Ogün
8 García, Antonio G.
8 Pesenson, Isaac Zalmanovich
8 Pogány, Tibor K.
8 Sinestrari, Eugenio
8 van Neerven, Jan M. A. M.
8 Walter, Gilbert G.
8 Wu, Ranchao
7 Agrawal, Purshottam Narain
7 Ahmad, Bashir
7 Al-saedi, Ahmed Eid Salem
7 Boccuto, Antonio
7 Cao, Jinde
7 Deng, Weihua
7 Gröchenig, Karlheinz
7 Hahn, Lothar
7 Li, Changpin
7 Rasa, Ioan
7 Savaré, Giuseppe
7 Scherer, Karl
7 Skopina, Maria A.
7 Spigler, Renato
7 Srivastava, Hari Mohan
7 Styczeń, Krystyn
7 Sunouchi, Gen-ichiro
7 Trujillo, Juan J.
7 Zhang, Xianmin
6 Aral, Ali
6 Bhrawy, Ali Hassan
6 Bragg, Louis R.
6 Dodson, M. Maurice
6 Duman, Oktay
6 Feichtinger, Hans Georg
6 Ferreira, Paulo Jorge S. G.
6 Gal, Sorin Gheorghe
6 Gupta, Vijay
6 Jansche, Stefan
6 Kilbas, Anatoliĭ Aleksandrovich
6 Kolomoitsev, Yurii S.
6 Lunardi, Alessandra
6 Madych, Wolodymyr R.
6 Mursaleen, Mohammad
6 Pfeifer, Dietmar
6 Taşdelen, Fatma
6 Wade, William R.
6 Westphal, Ursula
6 Zhang, Weiwei
5 Acar, Tuncer
5 Acquistapace, Paolo
5 Agrawal, Om Prakash
5 Akgun, Ramazan
5 Chen, Yangquan
5 Feher, Franziska
5 Gát, György
5 Gonska, Heinz Herbert
5 Hauss, Michael
5 Hernández-Medina, Miguel Ángel
5 Ho, Kwok-Pun
5 Jeong, Jin-Mun
5 Kühn, Thomas
...and 1,777 more Authors
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Cited in 336 Serials

179 Journal of Approximation Theory
102 Journal of Mathematical Analysis and Applications
63 Results in Mathematics
47 Applied Mathematics and Computation
40 Applicable Analysis
40 Journal of Functional Analysis
33 Numerical Functional Analysis and Optimization
32 Tohoku Mathematical Journal. Second Series
32 The Journal of Fourier Analysis and Applications
31 Journal of Computational and Applied Mathematics
28 Proceedings of the American Mathematical Society
28 Acta Mathematica Hungarica
27 Mathematical Notes
25 Analysis Mathematica
25 Computers & Mathematics with Applications
24 Mathematische Zeitschrift
24 Abstract and Applied Analysis
24 Mediterranean Journal of Mathematics
23 Mathematische Annalen
23 Transactions of the American Mathematical Society
22 Advances in Difference Equations
20 Ukrainian Mathematical Journal
19 Journal of Differential Equations
19 Applied Mathematics Letters
19 Integral Transforms and Special Functions
17 Annali di Matematica Pura ed Applicata. Serie Quarta
17 Fractional Calculus & Applied Analysis
16 Semigroup Forum
16 Applied and Computational Harmonic Analysis
16 Journal of Inequalities and Applications
15 Acta Mathematica Academiae Scientiarum Hungaricae
15 Archiv der Mathematik
15 Advances in Computational Mathematics
14 Nonlinear Dynamics
13 Israel Journal of Mathematics
13 Journal of Multivariate Analysis
13 Mathematische Nachrichten
13 Numerische Mathematik
13 Constructive Approximation
12 Archive for Rational Mechanics and Analysis
12 Bulletin of the American Mathematical Society
10 Rocky Mountain Journal of Mathematics
10 Calcolo
10 Journal of Complexity
10 Numerical Algorithms
9 Manuscripta Mathematica
9 Acta Applicandae Mathematicae
9 Journal of Integral Equations and Applications
9 Positivity
9 Boundary Value Problems
8 Lithuanian Mathematical Journal
8 Periodica Mathematica Hungarica
8 Mathematics of Computation
8 Chaos, Solitons and Fractals
8 BIT
8 Mathematical and Computer Modelling
8 Journal of Mathematical Sciences (New York)
8 Communications in Nonlinear Science and Numerical Simulation
8 Analysis in Theory and Applications
7 International Journal of Control
7 Journal d’Analyse Mathématique
7 Siberian Mathematical Journal
7 Zeitschrift für Analysis und ihre Anwendungen
7 Aequationes Mathematicae
7 Historia Mathematica
7 Mathematical Problems in Engineering
7 Acta Mathematica Sinica. English Series
6 Mathematical Methods in the Applied Sciences
6 Compositio Mathematica
6 Computing
6 Journal of Soviet Mathematics
6 Mathematica Slovaca
6 Monatshefte für Mathematik
6 The Journal of Geometric Analysis
6 Journal of Difference Equations and Applications
6 Journal of Evolution Equations
6 Journal of Applied Mathematics and Computing
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
6 Constructive Mathematical Analysis
5 Discrete Mathematics
5 Physics Letters. A
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 Czechoslovak Mathematical Journal
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Statistics & Probability Letters
5 Acta Mathematicae Applicatae Sinica. English Series
5 Indagationes Mathematicae. New Series
5 Fractals
5 Discrete Dynamics in Nature and Society
5 Nonlinear Analysis. Theory, Methods & Applications
4 Archive for History of Exact Sciences
4 Communications in Mathematical Physics
4 Journal of Computational Physics
4 Journal of the Franklin Institute
4 Problems of Information Transmission
4 Arkiv för Matematik
4 Annales de l’Institut Fourier
4 Demonstratio Mathematica
4 Journal of Statistical Planning and Inference
4 Systems & Control Letters
...and 236 more Serials
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Cited in 51 Fields

669 Approximations and expansions (41-XX)
388 Harmonic analysis on Euclidean spaces (42-XX)
306 Operator theory (47-XX)
272 Functional analysis (46-XX)
223 Ordinary differential equations (34-XX)
214 Information and communication theory, circuits (94-XX)
192 Real functions (26-XX)
186 Numerical analysis (65-XX)
172 Partial differential equations (35-XX)
109 Probability theory and stochastic processes (60-XX)
89 Special functions (33-XX)
83 Integral transforms, operational calculus (44-XX)
73 Integral equations (45-XX)
66 Number theory (11-XX)
55 Abstract harmonic analysis (43-XX)
55 Systems theory; control (93-XX)
54 Functions of a complex variable (30-XX)
53 Sequences, series, summability (40-XX)
49 Statistics (62-XX)
32 Dynamical systems and ergodic theory (37-XX)
28 History and biography (01-XX)
27 Combinatorics (05-XX)
26 Calculus of variations and optimal control; optimization (49-XX)
25 Measure and integration (28-XX)
23 Biology and other natural sciences (92-XX)
19 Topological groups, Lie groups (22-XX)
19 Difference and functional equations (39-XX)
19 Fluid mechanics (76-XX)
16 Potential theory (31-XX)
13 Computer science (68-XX)
11 Several complex variables and analytic spaces (32-XX)
11 Global analysis, analysis on manifolds (58-XX)
11 Mechanics of deformable solids (74-XX)
9 Quantum theory (81-XX)
9 Statistical mechanics, structure of matter (82-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Group theory and generalizations (20-XX)
5 Field theory and polynomials (12-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Differential geometry (53-XX)
5 Mechanics of particles and systems (70-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 General and overarching topics; collections (00-XX)
3 Geophysics (86-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 General topology (54-XX)
2 Operations research, mathematical programming (90-XX)
1 Mathematical logic and foundations (03-XX)
1 Nonassociative rings and algebras (17-XX)
1 Optics, electromagnetic theory (78-XX)
1 Relativity and gravitational theory (83-XX)

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