Annals of Functional Analysis, ( ISI ), Volume (7), No (2), Year (2016-3) , Pages (314-325)

#### Title : ( A characterization of Riesz family of shifts of functions on LCA-Groups )

Authors: narges mohammadian , Rajab Ali Kamyabi Gol , Reihaneh Raisi Tousi ,

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#### Abstract

For a locally compact abelian group $G$ we give a necessary and sufficient condition for shifts of a function $\phi\in L_2(G)$ to be a Riesz family. Also for a finite family $\Phi$ of compactly supported functions in $L_2(G)$ we show that the shifts of $\Phi$ constitute a Riesz family if and only if the nets $(\phi(\xi\eta))_{\eta\in L^{\perp}}$, $\phi\in\Phi$, are linearly independent for all $\xi\in\hat{G}$.

#### Keywords

, A characterization of Riesz family of shifts of functions on LCA, Groupsk
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@article{paperid:1049014,
author = {Mohammadian, Narges and Kamyabi Gol, Rajab Ali and Raisi Tousi, Reihaneh},
title = {A characterization of Riesz family of shifts of functions on LCA-Groups},
journal = {Annals of Functional Analysis},
year = {2016},
volume = {7},
number = {2},
month = {March},
issn = {2008-8752},
pages = {314--325},
numpages = {11},
keywords = {A characterization of Riesz family of shifts of functions on LCA-Groupsk},
}