Sampling expansions and interpolation in unitarily translation invariant reproducing kernel Hilbert spaces
type: Item
instance of: scholarly article
title: Sampling expansions and interpolation in unitarily translation invariant reproducing kernel Hilbert spaces
zbMATH Open document ID: 1027.65187
DOI: 10.1023/A:1024233232215
author: Sebastiano Seatzu
author: C. van der Mee
author: M. Zuhair Nashed
published in: Advances in Computational Mathematics
publication date: 2003-07-27T00:00:00Z
review text: Sufficient conditions are established in order that, for a fixed infinite set of sampling points on the full line, a function satisfies a sampling theorem on a suitable closed subspace of a unitarily translation invariant reproducing kernel Hilbert space. Some examples of such reproducing kernel Hilbert spaces are given with the corresponding sampling expansions. Sampling theorems for functions are established using Riesz bases in subspaces of \(L^2(R^+)\).
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45B05
zbMATH DE Number: 1953654
zbMATH Keywords: nonuniform sampling
zbMATH Keywords: unitarily translation invariant subspaces
zbMATH Keywords: sampling on the half-line
zbMATH Keywords: Riesz bases
zbMATH Keywords: reproducing kernel Hilbert space
reviewed by: Yves Cherruault
MaRDI profile type: Publication
full work available at URL: a:1024233232215
OpenAlex ID: W2095992772
description: scientific article; zbMATH DE number 1953654