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
Copyright Status
Unknown
Socpus ID
73449140499 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/73449140499
STARS Citation
Han, Deguang; Nashed, M. Zuhair; and Sun, Qiyu, "Sampling Expansions In Reproducing Kernel Hilbert And Banach Spaces" (2009). Scopus Export 2000s. 11656.
https://stars.library.ucf.edu/scopus2000/11656