Irregular sampling theorems and series expansions of band-limited functions
type: Item
instance of: scholarly article
title: Irregular sampling theorems and series expansions of band-limited functions
zbMATH Open document ID: 0776.42021
DOI: 10.1016/0022-247X(92)90223-Z
published in: Journal of Mathematical Analysis and Applications
publication date: 1993-01-16T00:00:00Z
review text: A very general approach to irregular sampling of band-limited functions is introduced. This method is based on the approximation and factorization of convolution operators. It is valid to the study of a very general function space, including the weighted \(L^ p_ w\)-spaces, in any dimensions, and it provides the correct behavior of the coefficients. Among the main features is stability, with respect to both input and aliasing errors.
reviewed by: Charles K. Chui
Mathematics Subject Classification ID: 42C15
Mathematics Subject Classification ID: 94A12
zbMATH DE Number: 91560
zbMATH Keywords: Shannon-Whittacker sampling
zbMATH Keywords: irregular sampling
zbMATH Keywords: band-limited functions
zbMATH Keywords: approximation
zbMATH Keywords: factorization
zbMATH Keywords: convolution operators
author: H. G. Feichtinger
author: Karlheinz Gröchenig
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 91560