Title : ( The structure of shift invariant spaces on a locally compact abelian group )
Authors: Rajab Ali Kamyabi Gol , Reihaneh Raisi Tousi ,
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Abstract
We investigate shift invariant subspaces of L2(G), where G is a locally compact abelian group. We show, among other things, that every shift invariant space can be decomposed as an orthogonal sum of spaces each of which is generated by a single function whose shifts form a Parseval frame.
Keywords
Locally compact abelian group; Shift invariant space; Principle shift invariant space; Parseval frame
@article{paperid:1018616,
author = {Kamyabi Gol, Rajab Ali and Raisi Tousi, Reihaneh},
title = {The structure of shift invariant spaces on a locally compact abelian group},
journal = {Journal of Mathematical Analysis and Applications},
year = {2008},
volume = {340},
number = {1},
month = {April},
issn = {0022-247X},
pages = {219--225},
numpages = {6},
keywords = {Locally compact abelian group; Shift invariant space; Principle shift invariant space; Parseval frame},
}
%0 Journal Article
%T The structure of shift invariant spaces on a locally compact abelian group
%A Kamyabi Gol, Rajab Ali
%A Raisi Tousi, Reihaneh
%J Journal of Mathematical Analysis and Applications
%@ 0022-247X
%D 2008
