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Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals

Journal of mathematical analysis and applications, 2006-04, Vol.316 (1), p.269-306

2006

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Herbert Raabe's work in multiplex signal transmission and his development of sampling methods

Signal processing, 2010-05, Vol.90 (5), p.1436-1455

2010

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Mellin analysis and its basic associated metric—applications to sampling theory

Analysis mathematica (Budapest), 2016-12, Vol.42 (4), p.297-321

2016

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Classical and Approximate Exponential Sampling Formula: Their Interconnections in Uniform and Mellin–Lebesgue Norms

Sampling, Approximation, and Signal Analysis, 2024, p.3-22

2024

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Sampling Theory for Not Necessarily Band-Limited Functions: A Historical Overview

SIAM review, 1992-03, Vol.34 (1), p.40-53

1992

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Seven pivotal theorems of Fourier analysis, signal analysis, numerical analysis and number theory: their interconnections

Bulletin of mathematical sciences, 2014-12, Vol.4 (3), p.481-525

2014

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Boundary value problems of potential theory for the exterior ball and the approximation and ergodic behaviour of the solutions

Journal of approximation theory, 2023-08, Vol.292, p.105916, Article 105916

2023

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Darstellungssätze Für Beschränkte Lineare Funktionale Im Zusammenhang Mit Hausdorff-, Stieltjes- und Hamburger-Momentenproblemen

Butzer, Paul L

1, 1975

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The sampling theorem, Poisson's summation formula, general Parseval formula, reproducing kernel formula and the Paley-Wiener theorem for bandlimited signals - their interconnections

Applicable analysis, 2011-03, Vol.90 (3-4), p.431-461

2011

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A linear ODE for the Omega function associated with the Euler function E α ( z ) and the Bernoulli function B α ( z )

Applied mathematics letters, 2006-10, Vol.19 (10), p.1073-1077

2006

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Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals

IEEE transactions on information theory, 2010-01, Vol.56 (1), p.614-633

2010

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Multiplex signal transmission and the development of sampling techniques: the work of Herbert Raabe in contrast to that of Claude Shannon

Applicable analysis, 2011-03, Vol.90 (3-4), p.643-688

2011

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ON SAMPLING ASSOCIATED WITH SINGULAR STURM-LIOUVILLE EIGENVALUE PROBLEMS: THE LIMIT-CIRCLE CASE

The Rocky Mountain journal of mathematics, 2002-07, Vol.32 (2), p.443-466

2002

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Anniversary Volume on Approximation Theory and Functional Analysis

1, 1984

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Fourier Analysis and Approximation

1, 1971

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Stirling functions of first kind in the setting of fractional calculus and generalized differences

Journal of difference equations and applications, 2007-08, Vol.13 (8-9), p.683-721

2007

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Functional Analysis and Approximation: Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach, Black Forest, August 9-16, 1980

1, 1981

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Reconstruction of bounded signals from pseudo-periodic, irregularly spaced samples

Signal processing, 1989, Vol.17 (1), p.1-17

1989

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Approximation und Interpolation durch verallgemeinerte Abtastsummen

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Mellin-type differential equations and associated sampling expansions

Numerical functional analysis and optimization, 2000-01, Vol.21 (1-2), p.1-24

2000

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The classical and approximate sampling theorems and their equivalence for entire functions of exponential type

Journal of approximation theory, 2014-02, Vol.179, p.94-111

2014

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E. B. Christoffel: The Influence of His Work on Mathematics and the Physical Sciences

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E. B. Christoffel: The Influence of His Work on Mathematics and the Physical Sciences

1, 1981

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Scaling functions and wavelets with vanishing moments

Computers & mathematics with applications (1987), 1994-02, Vol.27 (3), p.33-39

1994

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Approximation of continuous and discontinuous functions by generalized sampling series

Journal of approximation theory, 1987-05, Vol.50 (1), p.25-39

1987

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Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals

Herbert Raabe's work in multiplex signal transmission and his development of sampling methods

Mellin analysis and its basic associated metric—applications to sampling theory

Classical and Approximate Exponential Sampling Formula: Their Interconnections in Uniform and Mellin–Lebesgue Norms

Sampling Theory for Not Necessarily Band-Limited Functions: A Historical Overview

Seven pivotal theorems of Fourier analysis, signal analysis, numerical analysis and number theory: their interconnections

Boundary value problems of potential theory for the exterior ball and the approximation and ergodic behaviour of the solutions

Darstellungssätze Für Beschränkte Lineare Funktionale Im Zusammenhang Mit Hausdorff-, Stieltjes- und Hamburger-Momentenproblemen

The sampling theorem, Poisson's summation formula, general Parseval formula, reproducing kernel formula and the Paley-Wiener theorem for bandlimited signals - their interconnections

A linear ODE for the Omega function associated with the Euler function E α ( z ) and the Bernoulli function B α ( z )

Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals

Multiplex signal transmission and the development of sampling techniques: the work of Herbert Raabe in contrast to that of Claude Shannon

ON SAMPLING ASSOCIATED WITH SINGULAR STURM-LIOUVILLE EIGENVALUE PROBLEMS: THE LIMIT-CIRCLE CASE

Anniversary Volume on Approximation Theory and Functional Analysis

Fourier Analysis and Approximation

Stirling functions of first kind in the setting of fractional calculus and generalized differences

Functional Analysis and Approximation: Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach, Black Forest, August 9-16, 1980

Reconstruction of bounded signals from pseudo-periodic, irregularly spaced samples

Approximation und Interpolation durch verallgemeinerte Abtastsummen

Mellin-type differential equations and associated sampling expansions

The classical and approximate sampling theorems and their equivalence for entire functions of exponential type

E. B. Christoffel: The Influence of His Work on Mathematics and the Physical Sciences

E. B. Christoffel: The Influence of His Work on Mathematics and the Physical Sciences

Scaling functions and wavelets with vanishing moments

Approximation of continuous and discontinuous functions by generalized sampling series

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