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The Butzer-Kozakiewicz article on Riemann derivatives of 1954 and its influence

Advances in computational mathematics, 2023-12, Vol.49 (6), Article 86

2023

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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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Anniversary Volume on Approximation Theory and Functional Analysis

1, 1984

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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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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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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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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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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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The Shannon Sampling Series and the Reconstruction of Signals in Terms of Linear, Quadratic and Cubic Splines

SIAM journal on applied mathematics, 1986-04, Vol.46 (2), p.299-323

1986

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Reconstruction of signals in L p (ℝ)-space by generalized sampling series based on linear combinations of B-splines

Integral transforms and special functions, 2008-01, Vol.19 (1), p.35-58

2008

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Anniversary Volume on Approximation Theory and Functional Analysis

1, 2013

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The Summation Formulae of Euler–Maclaurin, Abel–Plana, Poisson, and their Interconnections with the Approximate Sampling Formula of Signal Analysis

Resultate der Mathematik, 2011-05, Vol.59 (3-4), p.359-400

2011

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Approximating a bandlimited function in terms of its samples

Computers & mathematics with applications (1987), 2000-07, Vol.40 (1), p.107-116

2000

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Interpolation and Sampling: E.T. Whittaker, K. Ogura and Their Followers

The Journal of fourier analysis and applications, 2011-04, Vol.17 (2), p.320-354

2011

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Basic relations valid for the Bernstein spaces B 2 σ and their extensions to larger function spaces via a unified distance concept

Banach Center publications, 2014, Vol.102, p.41-55

2014

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A unified approach to sampling theorems for derivatives and Hilbert transforms

Signal processing, 1983-01, Vol.5 (2), p.139-151

Stens, R.L.

1983

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The Euler-MacLaurin summation formula, the sampling theorem, and approximate integration over the real axis

Linear algebra and its applications, 1983-01, Vol.52, p.141-155

1983

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Saturation theorems for families of dual operators

Journal of approximation theory, 1984-01, Vol.41 (4), p.350-360

1984

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Convergence in Variation and Rates of Approximation for Bernstein-Type Polynomials and Singular Convolution Integrals

Analysis (Wiesbaden), 2003, Vol.23 (4)

2003

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Classical and approximate sampling theorems; studies in the L P ( R ) and the uniform norm

Journal of approximation theory, 2005-12, Vol.137 (2), p.250-263

2005

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Best weighted polynomial approximation on the real line; a functional-analytic approach

Journal of computational and applied mathematics, 1992-06, Vol.40 (2), p.199-213

1992

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The Butzer-Kozakiewicz article on Riemann derivatives of 1954 and its influence

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

Anniversary Volume on Approximation Theory and Functional Analysis

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

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

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

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

Approximation of continuous and discontinuous functions by generalized sampling series

The Shannon Sampling Series and the Reconstruction of Signals in Terms of Linear, Quadratic and Cubic Splines

Reconstruction of signals in L p (ℝ)-space by generalized sampling series based on linear combinations of B-splines

Anniversary Volume on Approximation Theory and Functional Analysis

The Summation Formulae of Euler–Maclaurin, Abel–Plana, Poisson, and their Interconnections with the Approximate Sampling Formula of Signal Analysis

Approximating a bandlimited function in terms of its samples

Interpolation and Sampling: E.T. Whittaker, K. Ogura and Their Followers

Basic relations valid for the Bernstein spaces B 2 σ and their extensions to larger function spaces via a unified distance concept

A unified approach to sampling theorems for derivatives and Hilbert transforms

The Euler-MacLaurin summation formula, the sampling theorem, and approximate integration over the real axis

Saturation theorems for families of dual operators

Convergence in Variation and Rates of Approximation for Bernstein-Type Polynomials and Singular Convolution Integrals

Classical and approximate sampling theorems; studies in the L P ( R ) and the uniform norm

Best weighted polynomial approximation on the real line; a functional-analytic approach

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