Title

Sampling Expansions in Reproducing Kernel Hilbert and Banach Spaces

Authors

Authors

D. G. Han; M. Z. Nashed;Q. Y. Sun

Comments

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Abstract

Given a countable subset of a set , we investigate the construction of all the reproducing kernel Hilbert (resp. Banach) spaces on that have 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.

Journal Title

Numerical Functional Analysis and Optimization

Volume

30

Issue/Number

9-10

Publication Date

1-1-2009

Document Type

Article

First Page

971

Last Page

987

WOS Identifier

WOS:000273106800006

ISSN

0163-0563

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