A problem of L. L. Campbell on the equivalence of the Kramer and Shannon sampling theorems
type: Item
instance of: scholarly article
title: A problem of L. L. Campbell on the equivalence of the Kramer and Shannon sampling theorems
zbMATH Open document ID: 0861.41002
DOI: 10.1016/0898-1221(95)00118-2
author: M. Genuit
author: G. Nasri-Roudsari
publication date: 1996-02-01T00:00:00Z
review text: The authors prove the equivalence of the sampling theorems of Kramer and of Whittaker-Shannon-Kotelnikov in the case the associated kernels are Bessel functions or Jacobi functions.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 33C55
Mathematics Subject Classification ID: 94A12
zbMATH DE Number: 826988
zbMATH Keywords: sampling theorems
zbMATH Keywords: Bessel functions
zbMATH Keywords: Jacobi functions
reviewed by: Hans-Jürgen Glaeske
MaRDI profile type: Publication
full work available at URL: 0898-1221(95)00118-2
OpenAlex ID: W1986427495
cites work: A Generalized Sampling Theorem
cites work: Q5634277
cites work: Q4303352
cites work: A Comparison of the Sampling Theorems of Kramer and Whittaker
cites work: On the equivalence of Kramer's and Shannon's sampling theorems (Corresp.)
cites work: Q4004281
cites work: The sampling theorem and linear prediction in signal analysis
cites work: On Lagrange Interpolation and Kramer-Type Sampling Theorems Associated with Sturm–Liouville Problems
cites work: On Kramer’s Sampling Theorem Associated with General Sturm-Liouville Problems and Lagrange Interpolation
cites work: Sampling theorems associated with fourth- and higher-order self-adjoint eigenvalue problems
cites work: The sampling series as a limiting case of lagrange interpolation
cites work: Q5820721
cites work: The continuous Jacobi transform
cites work: The finite continuous Jacobi transform and its inverse
cites work: The Continuous (α, β)-Jacobi Transform and its Inverse when α+ β+ 1 is a Positive Integer
cites work: Q4283134
cites work: A new proof of a Paley-Wiener type theorem for the Jacobi transform
cites work: Q4059198
published in: Computers & Mathematics with Applications
Recommended article: Q5451853
Recommended article: A perturbed Whittaker-Kotel'nikov-Shannon sampling theorem
Recommended article: A Whittaker-Shannon-Kotelnikov sampling theorem related to the Askey-Wilson functions
Recommended article: A 𝑞-analogue of the Whittaker-Shannon-Kotel’nikov sampling theorem
Recommended article: Q3371743
Recommended article: Q4663896
Recommended article: A Nonabelian Version of the Shannon Sampling Theorem
Recommended article: Q3222448
Recommended article: A Whittaker-Shannon-Kotel’nikov sampling theorem related to the Dunkl transform
Recommended article: On a problem of P. L. Butzer on the Shannon sampling series
description: scientific article; zbMATH DE number 826988