Construction of frames for shift-invariant spaces

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Назив:	Construction of frames for shift-invariant spaces
Аутори:	Pilipović, Stevan Simić, Suzana
Датум издавања:	23-сеп-2013
Часопис:	Journal of Function Spaces and Applications
Сажетак:	We construct a sequence φi(·-j)j∈, i=1, r which constitutes a p-frame for the weighted shift-invariant space Vp(Φ)= i=1r jci(j)φi(·-jci(j)jp, i=1, r, p∈[1,∞], and generates a closed shift-invariant subspace of Lp(R). The first construction is obtained by choosing functions φi, i=1,r, with compactly supported Fourier transforms φi, i=1,.,r. The second construction, with compactly supported φi, i=1,r, gives the Riesz basis. © 2013 Stevan Pilipović and Suzana Simić.
URI:	https://open.uns.ac.rs/handle/123456789/8663
ISSN:	09726802
DOI:	10.1155/2013/163814
Налази се у колекцијама:	PMF Publikacije/Publications