%0 Journal Article
%T On the frames by multiplication and irregular frames of translates on LCA groups
%J Wavelet and Linear Algebra
%I Vali-e-Asr university of Rafsanjan
%Z 2383-1936
%A Seyedi, N.S.
%A Mortazavizadeh, M.
%A Kamyabi Gol, R. A.
%D 2021
%\ 07/01/2021
%V 8
%N 1
%P 7-16
%! On the frames by multiplication and irregular frames of translates on LCA groups
%K locally compact abelian group
%K frame by multiplication
%K irregular frame of translates
%R 10.22072/wala.2021.130732.1295
%X Let $X$ be a measure space and let $E$ be a measurable subset of $X$ with finite positive measure. In this paper, we investigate frame and Riesz basis properties of a family of functions multiplied by another measurable function in $L^2(E)$. Also, we study the equivalent conditions for a system of translates to be a Bessel family in $L^2(G)$ and to be a frame for $P_E$ (the space of the band limited functions). Finally, we study the properties of frames of translates that preserved by convolution.
%U http://wala.vru.ac.ir/article_245223_ac1d03935a9178a6ee5d0304f9408375.pdf