Title

Sampling Expansions And Interpolation In Unitarily Translation Invariant Reproducing Kernel Hilbert Spaces

Keywords

Nonuniform sampling; Reproducing kernel spaces; Riesz bases; Sampling on the half-line; Unitarily translation invariant subspaces

Abstract

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. A number of examples of such reproducing kernel Hilbert spaces and the corresponding sampling expansions are given. Sampling theorems for functions on the half-line are also established in RKHS using Riesz bases in subspaces of L2 (ℝ+).

Publication Date

11-1-2003

Publication Title

Advances in Computational Mathematics

Volume

19

Issue

4

Number of Pages

355-372

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1023/A:1024233232215

Socpus ID

0038124510 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0038124510

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