Title

Sampling Expansions In Reproducing Kernel Hilbert And Banach Spaces

Keywords

Frames; P-frames; Reproducing kernel Banach spaces; Reproducing kernel Hilbert spaces; Sampling

Abstract

Given a countable subset Λ of a set Ω, we investigate the construction of all the reproducing kernel Hilbert (resp. Banach) spaces Ω on that have Λ as a sampling (resp. p-sampling) set. Unlike the general p-frames, we prove that every p-sampling set for a reproducing kernel Banach space yields a reconstruction formula. Some applications are given to demonstrate the general construction.

Publication Date

9-1-2009

Publication Title

Numerical Functional Analysis and Optimization

Volume

30

Issue

9-10

Number of Pages

971-987

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1080/01630560903408606

Socpus ID

73449140499 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/73449140499

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