Title of article
Quasi-greedy systems of integer translates Original Research Article
Author/Authors
Morten Nielsen، نويسنده , , Hrvoje Sikic، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
9
From page
43
To page
51
Abstract
We consider quasi-greedy systems of integer translates in a finitely generated shift-invariant subspace of L2(Rd)L2(Rd), that is systems for which the thresholding approximation procedure is well behaved. We prove that every quasi-greedy system of integer translates is also a Riesz basis for its closed linear span. The result shows that there are no conditional quasi-greedy bases of integer translates in a finitely generated shift-invariant space.
Keywords
* Quasi-greedy system , * Schauder basis , * shift-invariant space , * FSI space , * Integer translates
Journal title
Journal of Approximation Theory
Serial Year
2008
Journal title
Journal of Approximation Theory
Record number
852605
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