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The Structure of Shift invariant spaces on a locally compact abelian group

Author:
رجبعلی کامیابی گل
,
ریحانه رئیسی طوسی
,
Rajab Ali Kamyabi Gol
,
Reihaneh Raisi Tousi
Year
: 2008
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.
URI: https://libsearch.um.ac.ir:443/fum/handle/fum/3401647
Keyword(s): Locally compact abelian group,Shift invariant space,Principle shift invariant space,Parseval frame
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    The Structure of Shift invariant spaces on a locally compact abelian group

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contributor authorرجبعلی کامیابی گلen
contributor authorریحانه رئیسی طوسیen
contributor authorRajab Ali Kamyabi Golfa
contributor authorReihaneh Raisi Tousifa
date accessioned2020-06-06T14:33:18Z
date available2020-06-06T14:33:18Z
date issued2008
identifier urihttps://libsearch.um.ac.ir:443/fum/handle/fum/3401647
description abstractWe 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.
en
languageEnglish
titleThe Structure of Shift invariant spaces on a locally compact abelian groupen
typeJournal Paper
contenttypeExternal Fulltext
subject keywordsLocally compact abelian groupen
subject keywordsShift invariant spaceen
subject keywordsPrinciple shift invariant spaceen
subject keywordsParseval frameen
journal titleJournal of Mathematical Analysis and Applicationsfa
pages219-225
journal volume340
journal issue0
identifier linkhttps://profdoc.um.ac.ir/paper-abstract-1018616.html
identifier articleid1018616
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