Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/9457
Title: Construction of frames for shift-invariant spaces
Authors: pilipovic, stevan
Aleksić, Suzana
Issue Date: 2013
Abstract: 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://scidar.kg.ac.rs/handle/123456789/9457
Type: article
DOI: 10.1155/2013/163814
ISSN: 0972-6802
SCOPUS: 2-s2.0-84884267305
Appears in Collections:Faculty of Science, Kragujevac

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