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https://open.uns.ac.rs/handle/123456789/8663
Title: | Construction of frames for shift-invariant spaces | Authors: | Pilipović, Stevan Simić, Suzana |
Issue Date: | 23-Sep-2013 | Journal: | Journal of Function Spaces and Applications | 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://open.uns.ac.rs/handle/123456789/8663 | ISSN: | 09726802 | DOI: | 10.1155/2013/163814 |
Appears in Collections: | PMF Publikacije/Publications |
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