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Author ID: butzer.paul-leo Recent zbMATH articles by "Butzer, Paul Leo"
Published as: Butzer, Paul L.; Butzer, P. L.; Butzer, Paul; Butzer, Paul Leo; Butzer, P.; Butzer, P.-L.
Homepage: http://www.matha.rwth-aachen.de/de/mitarbeiter/butzer/
External Links: MacTutor · MGP · Wikidata · ResearchGate · dblp · GND · IdRef
all top 5

Co-Authors

43 single-authored
49 Stens, Rudolf L.
21 Nessel, Rolf Joachim
21 Schmeisser, Gerhard
18 Bardaro, Carlo
14 Mantellini, Ilaria
11 Hahn, Lothar
10 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 Kirschfink, Heribert Josef Werner
5 Wehrens, Matthias
4 De La Vallée Poussin, Charles-Jean
4 Hinsen, Guido
4 Mawhin, Jean
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 Markett, Clemens
2 Neuheuser, H. G.
2 Oberschelp, Walter
2 Onneweer, Cornelis W.
2 Pichler, Franz Rupert
2 Schipp, Ferenc
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, Ronald A.
1 Dieudonné, Jean
1 Douglas, Jack F.
1 Dyckhoff, Harald
1 Edmunds, David Eric
1 Elliott, Joanne
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 He, Tian-Xiao
1 Heinig, Georg
1 Heise, Werner
1 Helson, Henry
1 Hewitt, Edwin
1 Hilfer, Rudolf
...and 78 more Co-Authors
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Serials

18 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 Advances in Computational 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 Pure and Applied Mathematics (Academic Press)
1 Applicable Analysis and Discrete Mathematics
1 Commentationes Mathematicae
1 Sudhoffs Archiv
...and 6 more Serials

Publications by Year

Citations contained in zbMATH Open

278 Publications have been cited 4,760 times in 2,594 Documents Cited by Year
Applications of fractional calculus in physics. Zbl 0998.26002
2000
Semi-groups of operators and approximation. Zbl 0164.43702
Butzer, Paul L.; Berens, H.
550
1967
Fourier analysis and approximation. Vol. 1: One-dimensional theory. Zbl 0217.42603
Butzer, Paul L.; Nessel, R. J.
447
1971
An introduction to fractional calculus. Zbl 0987.26005
Butzer, P. L.; Westphal, U.
169
2000
The sampling theorem and linear prediction in signal analysis. Zbl 0633.94002
Butzer, P. L.; Splettstößer, W.; Stens, R. L.
126
1988
Fractional calculus in the Mellin setting and Hadamard-type fractional integrals. Zbl 0995.26007
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
115
2002
A direct approach to the Mellin transform. Zbl 0885.44004
Butzer, Paul L.; Jansche, Stefan
114
1997
Compositions of Hadamard-type fractional integration operators and the semigroup property. Zbl 1027.26004
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
104
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.
95
2002
Kantorovich-type generalized sampling series in the setting of Orlicz spaces. Zbl 1156.41307
Bardaro, C.; Vinti, G.; Butzer, P. L.; Stens, R. L.
88
2007
Sampling theory for not necessarily band-limited functions: A historical overview. Zbl 0746.94002
Butzer, P. L.; Stens, R. L.
78
1992
Fourier analysis and approximation. Vol. 1: One-dimensional theory. Zbl 1515.42001
Butzer, Paul L.; Nessel, R. J.
75
1971
A survey of the Whittaker-Shannon sampling theorem and some of its extensions. Zbl 0523.94003
Butzer, Paul L.
73
1983
Limitierungsverfahren von Reihen mehrdimensionaler Kugelfunktionen und deren Saturationsverhalten. Zbl 0201.08402
Berens, H.; Butzer, Paul L.; Pawelke, S.
65
1968
A Bernstein-type operator approximating continuous functions on the semi-axis. Zbl 0437.41021
Bleimann, G.; Butzer, Paul L.; Hahn, L.
64
1980
Approximation of continuous and discontinuous functions by generalized sampling series. Zbl 0654.41004
Butzer, P. L.; Ries, S.; Stens, R. L.
60
1987
Central factorial numbers; their main properties and some applications. Zbl 0659.10012
Butzer, P. L.; Schmidt, M.; Stark, E. L.; Vogt, L.
58
1989
Linear combinations of Bernstein polynomials. Zbl 0051.05002
Butzer, Paul L.
58
1953
The exponential sampling theorem of signal analysis. Zbl 0913.44002
Butzer, Paul L.; Jansche, Stefan
52
1998
Best trigonometric approximation, fractional order derivatives and Lipschitz classes. Zbl 0357.26003
Butzer, Paul L.; Dyckhoff, H.; Görlich, E.; Stens, R. L.
50
1977
Walsh-Fourier series and the concept of a derivative. Zbl 0256.42016
Butzer, Paul L.; Wagner, H. J.
47
1973
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
45
2010
A self-contained approach to Mellin transform analysis for square integrable functions. Applications. Zbl 0961.44005
Butzer, Paul L.; Jansche, Stefan
43
1999
On the extensions of Bernstein polynomials to the infinite interval. Zbl 0056.28703
Butzer, Paul L.
43
1954
On Lagrange interpolation and Kramer-type sampling theorems associated with Sturm-Liouville problems. Zbl 0695.41002
Zayed, Ahmed I.; Hinsen, Guido; Butzer, Paul L.
41
1990
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.
41
2003
Fourier-transform methods in the theory of approximation. Zbl 0107.32101
Butzer, Paul L.
36
1960
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.
35
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.
34
2005
Approximationsprozesse und Interpolationsmethoden. (B.I.- Hochschulskripten. 826/826a). Zbl 0177.08501
Butzer, Paul L.; Scherer, K.
30
1968
An access to fractional differentiation via fractional difference quotients. Zbl 0307.26006
Butzer, Paul L.; Westphal, Ursula
29
1975
Sampling theory of signal analysis. Zbl 0961.94009
Butzer, Paul L.; Higgins, J. R.; Stens, R. L.
29
2000
A sampling theorem for duration-limited functions with error estimates. Zbl 0363.94009
Butzer, Paul L.; Splettstösser, W.
28
1977
On two-dimensional Bernstein polynomials. Zbl 0050.07002
Butzer, Paul L.
28
1953
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
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.
27
1969
The finite Mellin transform, Mellin-Fourier series, and the Mellin-Poisson summation formula. Zbl 0905.44003
Butzer, Paul L.; Jansche, Stefan
26
1998
Voronovskaya-type theorems for derivatives of the Beinstein-Chlodovsky polynomials and the Szász-Mirakyan operator. Zbl 1236.41022
Butzer, Paul Leo; Karsli, Harun
26
2009
Generalized sampling approximation of multivariate signals; theory and some applications. Zbl 0768.42013
Butzer, P. L.; Fischer, A.; Stens, R. L.
25
1990
Jackson and Bernstein-type inequalities for families of commutative operators in Banach spaces. Zbl 0234.41013
Butzer, Paul L.; Scherer, K.
25
1972
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
25
2014
The foundations of fractional calculus in the Mellin transform setting with applications. Zbl 1334.47047
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria
25
2015
On dyadic analysis based on the pointwise dyadic derivative. Zbl 0324.42011
Butzer, Paul L.; Wagner, H. J.
24
1975
On the rate of approximation in the central limit theorem. Zbl 0298.60014
Butzer, Paul L.; Hahn, L.; Westphal, U.
24
1975
Aspects of de La Vallée Poussin’s work in approximation and its influence. Zbl 0782.01013
Butzer, P. L.; Nessel, R. J.
23
1993
A modification of the Whittaker-Kotelnikov-Shannon sampling series. Zbl 0582.41004
Butzer, Paul L.; Stens, R. L.
22
1985
Factorial functions and Stirling numbers of fractional orders. Zbl 0707.05002
Butzer, P. L.; Hauss, M.; Schmidt, M.
21
1989
Approximation of signals using measured sampled values and error analysis. Zbl 1089.94503
Butzer, Paul L.; Lei, Junjiang
21
2000
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
20
2016
On the Paley-Wiener theorem in the Mellin transform setting. Zbl 1338.44006
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
20
2016
Sampling theorems associated with fourth- and higher-order self-adjoint eigenvalue problems. Zbl 0808.34091
Butzer, P. L.; Schöttler, G.
19
1994
Sturm-Liouville boundary value problems and Lagrange interpolation series. Zbl 0813.34028
Everitt, W. N.; Schöttler, G.; Butzer, P. L.
19
1994
Generalized sampling approximation of multivariate signals; general theory. Zbl 0789.42026
Butzer, P. L.; Fischer, A.; Stens, R. L.
19
1993
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.
19
2011
Mellin transform theory and the role of its differential and integral operators. Zbl 0923.44002
Butzer, Paul L.; Jansche, Stefan
18
1998
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.
18
1986
Kramer’s sampling theorem in signal analysis and its role in mathematics. Zbl 0889.94003
Butzer, P. L.; Nasri-Roudsari, G.
17
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.
17
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.
17
1983
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.
17
2012
Approximation theorems for semi-groups of bounded linear transformations. Zbl 0094.30602
Butzer, Paul L.; Tillmann, H. G.
17
1960
On summation processes of Fourier expansions in Banach spaces. I: Comparison theorems. Zbl 0242.42016
Butzer, Paul L.; Nessel, R. J.; Trebels, Walter
17
1972
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.
16
2013
Representation of fractional powers of infinitesimal generators of semigroups. Zbl 0153.45203
Berens, H.; Butzer, Paul L.; Westphal, U.
16
1968
Zur Frage der Saturationsklassen singulärer Integraloperatoren. Zbl 0089.11303
Butzer, Paul L.
16
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.
16
1986
General theorems on rates of convergence in distribution of random variables I. General limit theorems. Zbl 0383.60024
Butzer, Paul L.; Hahn, L.
15
1978
Representation and approximation of functions by general singular integrals. I A, I B. Zbl 0107.32003
Butzer, Paul L.
15
1960
On Stirling functions of the second kind. Zbl 0738.11025
Butzer, P. L.; Hauss, M.
14
1991
Chebyshev transform methods in the theory of best algebraic approximation. Zbl 0337.41026
Butzer, Paul L.; Stens, R. L.
14
1976
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.
14
2011
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.
14
1978
Lipschitz spaces on compact manifolds. Zbl 0217.49503
Butzer, Paul L.; Johnen, H.
14
1971
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.
14
2011
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.
13
1995
P. L. Chebyshev (1821-1894). A guide to his life and work. Zbl 0934.01017
Butzer, Paul; Jongmans, François
13
1999
Errors in truncated sampling series with measured sampled values for non-necessarily bandlimited functions. Zbl 0982.94008
Butzer, Paul L.; Lei, Junjiang
13
1998
Über die Fundamentalsätze der klassischen Approximationstheorie in abstrakten Räumen. Zbl 0186.11001
Butzer, Paul L.; Scherer, K.
13
1969
On summation processes of Fourier expansions in Banach spaces. II: Saturation theorems. Zbl 0247.42013
Butzer, Paul L.; Nessel, R. J.; Trebels, Walter
13
1972
Saturationsklassen und asymptotische Eigenschaften trigonometrischer singulärer Integrale. Zbl 0166.07102
Butzer, Paul L.; Görlich, E.
13
1966
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.
13
2003
Mellin analysis and its basic associated metric – applications to sampling theory. Zbl 1374.44001
Bardaro, C.; Butzer, P. L.; Mantellini, I.; Schmeisser, G.
13
2016
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
12
2017
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.
12
2008
Higher order moduli of continuity based on the Jacobi translation operator and best approximation. Zbl 0436.41013
Butzer, Paul L.; Stens, R. L.; Wehrens, M.
12
1980
Alternating Mathieu series, Hilbert-Eisenstein series and their generalized omega functions. Zbl 1326.33031
Baricz, Árpád; Butzer, Paul L.; Pogány, Tibor K.
12
2014
Die Anwendung des Operatorenkalküls von Jan Mikusiński auf lineare Integralgleichungen vom Faltungstypus. Zbl 0083.10101
Butzer, Paul L.
11
1958
Beziehungen zwischen den Riemannschen, Taylorschen und gewöhnlichen Ableitungen reellwertiger Funktionen. Zbl 0106.27002
Butzer, Paul L.
11
1961
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
11
2017
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.
11
2006
Sur le rôle de la transformation de Fourier dans quelques problèmes d’approximation. Zbl 0192.15903
Butzer, P.-L.
11
1959
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.
11
2014
Ableitungen von trigonometrischen Approximationsprozessen. Zbl 0165.39101
Butzer, Paul L.; Pawelke, S.
11
1967
Prediction of non-bandlimited signals from past samples in terms of splines of low degree. Zbl 0627.94003
Butzer, P. L.; Stens, R. L.
11
1987
The Poisson summation formula, Whittaker’s cardinal series and approximate integration. Zbl 0549.94001
Butzer, Paul L.; Stens, R. L.
11
1983
Approximation by algebraic convolution integrals. Zbl 0406.41015
Butzer, Paul L.; Stens, R. L.; Wehrens, M.
10
1979
Eulerian numbers with fractional order parameters. Zbl 0797.11025
Butzer, P. L.; Hauss, M.
10
1993
The continuous Legendre transform, its inverse transform, and applications. Zbl 0447.44001
Butzer, Paul L.; Stens, R. L.; Wehrens, M.
10
1980
The operational properties of the Chebyshev transform. I: General properties. Zbl 0375.44003
Butzer, Paul L.; Stens, R. L.
10
1977
On the Riemann derivatives for integrable functions. Zbl 0056.05604
Butzer, Paul L.; Kozakiewicz, W.
10
1954
A retrospective on research visits of Paul Butzer’s Aachen research group to Eastern Europe and Tenerife. Zbl 1511.01024
Butzer, Paul L.; Stens, Rudolf L.
2
2022
Polar-analytic functions: old and new results, applications. Zbl 1486.30004
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
1
2022
Exterior Dirichlet and Neumann problems and the linked ergodic inverse problems in the entire space. Zbl 1489.35047
Butzer, Paul L.; Stens, Rudolf L.
1
2022
Integration of polar-analytic functions and applications to Boas’ differentiation formula and Bernstein’s inequality in Mellin setting. Zbl 1469.30085
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
3
2020
Valiron’s interpolation formula and a derivative sampling formula in the Mellin setting acquired via polar-analytic functions. Zbl 1473.30022
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
3
2020
A retrospective on research visits of Paul Butzer’s Aachen research group to North America and Western Europe. Zbl 1444.41001
Butzer, Paul L.; Stens, Rudolf L.
2
2020
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
7
2019
Josef Meixner: his life and his orthogonal polynomials. Zbl 1405.33010
Butzer, Paul L.; Koornwinder, Tom H.
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
6
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
12
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
11
2017
A fresh approach to classical Eisenstein series and the newer Hilbert-Eisenstein series. Zbl 1422.11039
Butzer, Paul L.; Pogány, Tibor K.
4
2017
Collected works/Œuvres scientifiques. Vol. IV. Potential theory, conformal representation, complex functions. Théorie du potentiel, représentation conforme, fonctions d’une variable complexe. Edited by Paul Butzer, Jean Mawhin and Pasquale Vetro. Zbl 1384.01093
de La Vallée Poussin, Charles-Jean
1
2017
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
20
2016
On the Paley-Wiener theorem in the Mellin transform setting. Zbl 1338.44006
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
20
2016
Mellin analysis and its basic associated metric – applications to sampling theory. Zbl 1374.44001
Bardaro, C.; Butzer, P. L.; Mantellini, I.; Schmeisser, G.
13
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.
2
2016
The foundations of fractional calculus in the Mellin transform setting with applications. Zbl 1334.47047
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria
25
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.)
3
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.)
3
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
2
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
25
2014
Alternating Mathieu series, Hilbert-Eisenstein series and their generalized omega functions. Zbl 1326.33031
Baricz, Árpád; Butzer, Paul L.; Pogány, Tibor K.
12
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.
11
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.
9
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.
16
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.
17
2012
Complete asymptotic expansion for generalized Favard operators. Zbl 1262.41023
Abel, Ulrich; Butzer, Paul L.
8
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.
19
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.
14
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.
14
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.
8
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
45
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.
5
2010
Voronovskaya-type theorems for derivatives of the Beinstein-Chlodovsky polynomials and the Szász-Mirakyan operator. Zbl 1236.41022
Butzer, Paul Leo; Karsli, Harun
26
2009
The \(a\)-Drazin inverse and ergodic behaviour of semigroups and cosine operator functions. Zbl 1211.47001
Butzer, P. L.; Koliha, J. J.
9
2009
A retrospective on 60 years of approximation theory and associated fields. Zbl 1194.41002
Butzer, Paul L.
9
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.
12
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.
88
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.
4
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.
35
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.
11
2006
Otto Blumenthal (1876–1944) in retrospect. Zbl 1194.01072
Butzer, Paul; Volkmann, Lutz
6
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.
34
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 1140.01309
de La Vallée Poussin, Charles-Jean
5
2004
Sampling in Paley-Wiener spaces associated with fractional integro-differential operators. Zbl 1054.45002
Annaby, Mahmoud; Butzer, Paul
2
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.
41
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.
13
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.
5
2003
Fractional calculus in the Mellin setting and Hadamard-type fractional integrals. Zbl 0995.26007
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
115
2002
Compositions of Hadamard-type fractional integration operators and the semigroup property. Zbl 1027.26004
Butzer, Paul L.; Kilbas, Anatoly A.; Trujillo, Juan J.
104
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.
95
2002
Bernoulli functions; Hilbert-type Poisson summation formulae, partial fraction expansions, and Hilbert-Eisenstein series. Zbl 1081.11013
Butzer, Paul L.
6
2002
On sampling associated with singular Sturm-Liouville eigenvalue problems: The limit-circle case. Zbl 1041.34078
Annaby, M. H.; Butzer, P. L.
6
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 1038.01028
de La Vallée Poussin, Charles-Jean
1
2001
Applications of fractional calculus in physics. Zbl 0998.26002
2000
An introduction to fractional calculus. Zbl 0987.26005
Butzer, P. L.; Westphal, U.
169
2000
Sampling theory of signal analysis. Zbl 0961.94009
Butzer, Paul L.; Higgins, J. R.; Stens, R. L.
29
2000
Approximation of signals using measured sampled values and error analysis. Zbl 1089.94503
Butzer, Paul L.; Lei, Junjiang
21
2000
Mellin-Fourier series and the classical Mellin transform. Zbl 0959.44006
Butzer, P. L.; Jansche, S.
6
2000
Mellin-type differential equations and associated sampling expansions. Zbl 0970.34021
Annaby, 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 1194.01019
Butzer, P. L.; Carbone, L.; Jongmans, F.; Palladino, F.
1
2000
A self-contained approach to Mellin transform analysis for square integrable functions. Applications. Zbl 0961.44005
Butzer, Paul L.; Jansche, Stefan
43
1999
P. L. Chebyshev (1821-1894). A guide to his life and work. Zbl 0934.01017
Butzer, Paul; Jongmans, François
13
1999
The correspondence between Eugene Catalan and Ernesto Cesaro. (Les relations épistolaires entre Eugène Catalan et Ernesto Cesàro.) 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
52
1998
The finite Mellin transform, Mellin-Fourier series, and the Mellin-Poisson summation formula. Zbl 0905.44003
Butzer, Paul L.; Jansche, Stefan
26
1998
Mellin transform theory and the role of its differential and integral operators. Zbl 0923.44002
Butzer, Paul L.; Jansche, Stefan
18
1998
Errors in truncated sampling series with measured sampled values for non-necessarily bandlimited functions. Zbl 0982.94008
Butzer, Paul L.; Lei, Junjiang
13
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 0952.01006
Butzer, Paul L.
1
1998
A direct approach to the Mellin transform. Zbl 0885.44004
Butzer, Paul L.; Jansche, Stefan
114
1997
Kramer’s sampling theorem in signal analysis and its role in mathematics. Zbl 0889.94003
Butzer, P. L.; Nasri-Roudsari, G.
17
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.
17
1997
Connections between the approximation of semigroup and cosine operator functions. Zbl 0885.41016
Butzer, 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 0843.47004
Butzer, P. L.; Gessinger, A.
13
1995
The mean ergodic theorem for cosine operator functions with optimal and non-optimal rates. Zbl 1002.47500
Butzer, P. L.; Gessinger, A.
5
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.
4
1995
The approximation theoretical behaviour of solutions of specific hyperbolic differential equations at zero and infinity. Zbl 0844.41022
Butzer, P. L.; Gessinger, A.
1
1995
Sampling theorems associated with fourth- and higher-order self-adjoint eigenvalue problems. Zbl 0808.34091
Butzer, P. L.; Schöttler, G.
19
1994
Sturm-Liouville boundary value problems and Lagrange interpolation series. Zbl 0813.34028
Everitt, W. N.; Schöttler, G.; Butzer, P. L.
19
1994
Euler functions \(E_ \alpha(z)\) with complex \(\alpha\) and applications. Zbl 0849.11021
Butzer, Paul L.; Flocke, Stefan; Hauss, Michael
9
1994
The Hausdorff-Young theorems of Fourier analysis and their impact. Zbl 0978.42500
Butzer, P. L.
5
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.
23
1993
Generalized sampling approximation of multivariate signals; general theory. Zbl 0789.42026
Butzer, P. L.; Fischer, A.; Stens, R. L.
19
1993
Eulerian numbers with fractional order parameters. Zbl 0797.11025
Butzer, P. L.; Hauss, M.
10
1993
Science in Western and Eastern civilization in Carolingian times. Zbl 0781.01004
8
1993
Sampling expansions for Jacobi functions and their applications. Zbl 0790.33011
Butzer, Paul L.; Schöttler, Gabriele
4
1993
Sampling theory for not necessarily band-limited functions: A historical overview. Zbl 0746.94002
Butzer, P. L.; Stens, R. L.
78
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.
7
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
Bernoulli numbers and polynomials of arbitrary complex indices. Zbl 0768.11010
Butzer, P. L.; Hauss, M.; Leclerc, M.
4
1992
Riemann zeta function: Rapidly converging series and integral representations. Zbl 0746.11034
Butzer, P. L.; Hauss, M.
3
1992
On Stirling functions of the second kind. Zbl 0738.11025
Butzer, P. L.; Hauss, M.
14
1991
Stirling numbers, central factorial numbers, and representations of the Riemann zeta function. Zbl 0724.11038
Butzer, P. L.; Markett, C.; Schmidt, M.
10
1991
...and 178 more Documents
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Cited by 2,391 Authors

126 Butzer, Paul Leo
75 Vinti, Gianluca
55 Bardaro, Carlo
55 Costarelli, Danilo
48 Mantellini, Ilaria
39 Weisz, Ferenc
31 Nessel, Rolf Joachim
31 Stens, Rudolf L.
29 Annaby, Mahmoud H.
27 Schmeisser, Gerhard
23 Volosivets, Sergeĭ Sergeevich
21 Angeloni, Laura
21 Karsli, Harun
20 Acar, Tuncer
20 Agrawal, Purshottam Narain
20 Aral, Ali
19 Ntouyas, Sotiris K.
18 Tharwat, Mohammed M.
18 Trebels, Walter
16 Abel, Ulrich
15 Boche, Holger
15 Cobos, Fernando
15 Daher, Radouan
15 Kolomoitsev, Yurii S.
14 Görlich, Ernst
14 Tariboon, Jessada
14 Zayed, Ahmed I.
13 Berens, Hubert Anton
13 Ditzian, Zeev
13 Uysal, Gumrah
12 Agratini, Octavian
12 Pesenson, Isaac Zalmanovich
12 Tikhonov, Sergey Yur’evich
11 Benchohra, Mouffak
11 Pogány, Tibor K.
11 Sun, Wenchang
11 Trynin, Aleksandr Yur’evich
11 Tyr, Othman
10 Boccuto, Antonio
10 Bustamante González, Jorge
10 Draganov, Borislav R.
10 Gal, Sorin Gheorghe
10 Higgins, John Rowland
10 Mishra, Vishnu Narayan
10 Mönich, Ullrich Johann
10 Rasa, Ioan
10 Robinson, Derek William
10 Shaw, Sen-Yen
10 Skopina, Maria A.
10 Zhou, Xingwei
9 Acu, Ana Maria
9 Anastassiou, George Angelos
9 Cao, Jinde
9 Di Blasio, Gabriella
9 Dodson, Michael Maurice
9 Doğru, Ogün
9 Duman, Oktay
9 Li, Changpin
9 Madych, Wolodymyr R.
9 Nishishiraho, Toshihiko
9 Popa, Dumitru
9 Stark, Eberhard L.
9 Triggiani, Roberto
9 van Neerven, Jan M. A. M.
8 Deng, Weihua
8 Dickmeis, Werner
8 García, Antonio G.
8 Gröchenig, Karlheinz
8 Kim, Taekyun
8 Kumar, Angamuthu Sathish
8 Runovski, Konstantin Vsevolodovich
8 Seracini, Marco
8 Sinestrari, Eugenio
8 Walter, Gilbert G.
8 Wu, Ranchao
8 Zhang, Xianmin
7 Ahmad, Bashir
7 Akgun, Ramazan
7 Al-saedi, Ahmed Eid Salem
7 Asharabi, Rashad M.
7 Bajpeyi, Shivam
7 Coroianu, Lucian C.
7 Feichtinger, Hans Georg
7 Ferreira, Paulo Jorge S. G.
7 Hahn, Lothar
7 Hung, Tran Loc
7 İspir, Nurhayat
7 Kim, Dae San
7 Lizama, Carlos
7 Ma, Li
7 Milovanović, Gradimir V.
7 Mursaleen, Mohammad
7 Parmar, Rakesh Kumar
7 Savaré, Giuseppe
7 Scherer, Karl
7 Shidlich, Andrii
7 Simsek, Yilmaz
7 Song, Zhanjie
7 Spigler, Renato
7 Srivastava, Hari Mohan
...and 2,291 more Authors
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Cited in 427 Serials

187 Journal of Approximation Theory
116 Journal of Mathematical Analysis and Applications
77 Results in Mathematics
55 Applied Mathematics and Computation
46 Journal of Functional Analysis
46 Numerical Functional Analysis and Optimization
45 Applicable Analysis
40 Mathematical Methods in the Applied Sciences
39 Mediterranean Journal of Mathematics
37 The Journal of Fourier Analysis and Applications
36 Mathematical Notes
32 Journal of Computational and Applied Mathematics
32 Tôhoku Mathematical Journal. Second Series
32 Advances in Difference Equations
31 Acta Mathematica Hungarica
29 Analysis Mathematica
28 Proceedings of the American Mathematical Society
28 Integral Transforms and Special Functions
26 Computers & Mathematics with Applications
26 Mathematische Nachrichten
25 Mathematische Annalen
25 Mathematische Zeitschrift
25 Abstract and Applied Analysis
24 Transactions of the American Mathematical Society
24 Fractional Calculus & Applied Analysis
22 Ukrainian Mathematical Journal
22 Journal of Differential Equations
22 Journal of Inequalities and Applications
19 Applied Mathematics Letters
19 Applied and Computational Harmonic Analysis
18 Annali di Matematica Pura ed Applicata. Serie Quarta
17 Semigroup Forum
17 Advances in Computational Mathematics
16 Archiv der Mathematik
15 Acta Mathematica Academiae Scientiarum Hungaricae
15 Constructive Approximation
15 Journal of Mathematical Sciences (New York)
15 Nonlinear Dynamics
15 Constructive Mathematical Analysis
14 Israel Journal of Mathematics
14 Filomat
14 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
13 Journal of Multivariate Analysis
13 Numerische Mathematik
12 Archive for Rational Mechanics and Analysis
12 Rocky Mountain Journal of Mathematics
12 Chaos, Solitons and Fractals
12 Rendiconti del Circolo Matemàtico di Palermo. Serie II
12 Positivity
12 Bulletin of the American Mathematical Society
12 Dolomites Research Notes on Approximation
11 Periodica Mathematica Hungarica
11 Journal of Complexity
11 Journal of Integral Equations and Applications
11 Numerical Algorithms
11 Sampling Theory, Signal Processing, and Data Analysis
10 Calcolo
10 Demonstratio Mathematica
10 Acta Applicandae Mathematicae
10 Communications in Nonlinear Science and Numerical Simulation
10 Boundary Value Problems
10 Mathematical Foundations of Computing
9 International Journal of Control
9 Manuscripta Mathematica
9 Mathematics and Computers in Simulation
9 Turkish Journal of Mathematics
9 Analysis in Theory and Applications
9 Analysis and Mathematical Physics
9 AIMS Mathematics
8 Lithuanian Mathematical Journal
8 Mathematics of Computation
8 BIT
8 Mathematica Slovaca
8 Siberian Mathematical Journal
8 Zeitschrift für Analysis und ihre Anwendungen
8 Mathematical and Computer Modelling
8 Aequationes Mathematicae
8 Fractals
8 Mathematical Problems in Engineering
8 Acta Mathematica Sinica. English Series
8 Journal of Evolution Equations
8 Analysis and Applications (Singapore)
8 Complex Analysis and Operator Theory
8 Journal of Mathematical Inequalities
8 Journal of Pseudo-Differential Operators and Applications
7 Journal d’Analyse Mathématique
7 Monatshefte für Mathematik
7 The Journal of Geometric Analysis
7 Historia Mathematica
7 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
6 Compositio Mathematica
6 Computing
6 Journal of Soviet Mathematics
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Computational and Applied Mathematics
6 Journal of Difference Equations and Applications
6 Journal of Applied Mathematics and Computing
6 Journal of Function Spaces
6 Nonlinear Analysis. Theory, Methods & Applications
6 Open Mathematics
...and 327 more Serials
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Cited in 53 Fields

934 Approximations and expansions (41-XX)
518 Harmonic analysis on Euclidean spaces (42-XX)
424 Operator theory (47-XX)
354 Functional analysis (46-XX)
308 Real functions (26-XX)
302 Ordinary differential equations (34-XX)
284 Information and communication theory, circuits (94-XX)
235 Numerical analysis (65-XX)
214 Partial differential equations (35-XX)
145 Integral transforms, operational calculus (44-XX)
143 Probability theory and stochastic processes (60-XX)
127 Special functions (33-XX)
100 Integral equations (45-XX)
97 Number theory (11-XX)
80 Functions of a complex variable (30-XX)
74 Systems theory; control (93-XX)
64 Sequences, series, summability (40-XX)
64 Abstract harmonic analysis (43-XX)
60 Statistics (62-XX)
49 Combinatorics (05-XX)
42 Dynamical systems and ergodic theory (37-XX)
37 Biology and other natural sciences (92-XX)
35 Measure and integration (28-XX)
34 History and biography (01-XX)
31 Calculus of variations and optimal control; optimization (49-XX)
27 Fluid mechanics (76-XX)
24 Difference and functional equations (39-XX)
20 Computer science (68-XX)
19 Topological groups, Lie groups (22-XX)
17 Potential theory (31-XX)
15 Global analysis, analysis on manifolds (58-XX)
14 Mechanics of deformable solids (74-XX)
14 Quantum theory (81-XX)
14 Statistical mechanics, structure of matter (82-XX)
13 Several complex variables and analytic spaces (32-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
7 Differential geometry (53-XX)
6 Field theory and polynomials (12-XX)
6 Group theory and generalizations (20-XX)
6 Mechanics of particles and systems (70-XX)
5 Classical thermodynamics, heat transfer (80-XX)
5 Geophysics (86-XX)
4 General and overarching topics; collections (00-XX)
4 General topology (54-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Operations research, mathematical programming (90-XX)
2 Relativity and gravitational theory (83-XX)
1 Mathematical logic and foundations (03-XX)
1 Nonassociative rings and algebras (17-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Optics, electromagnetic theory (78-XX)

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