The Structure of Shift invariant spaces on a locally compact abelian group
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.
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.
Keyword(s): Locally compact abelian group,Shift invariant space,Principle shift invariant space,Parseval frame
Collections
:
-
Statistics
The Structure of Shift invariant spaces on a locally compact abelian group
Show full item record
| contributor author | رجبعلی کامیابی گل | en |
| contributor author | ریحانه رئیسی طوسی | en |
| contributor author | Rajab Ali Kamyabi Gol | fa |
| contributor author | Reihaneh Raisi Tousi | fa |
| date accessioned | 2020-06-06T14:33:18Z | |
| date available | 2020-06-06T14:33:18Z | |
| date issued | 2008 | |
| identifier uri | https://libsearch.um.ac.ir:443/fum/handle/fum/3401647 | |
| description 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. | en |
| language | English | |
| title | The Structure of Shift invariant spaces on a locally compact abelian group | en |
| type | Journal Paper | |
| contenttype | External Fulltext | |
| subject keywords | Locally compact abelian group | en |
| subject keywords | Shift invariant space | en |
| subject keywords | Principle shift invariant space | en |
| subject keywords | Parseval frame | en |
| journal title | Journal of Mathematical Analysis and Applications | fa |
| pages | 219-225 | |
| journal volume | 340 | |
| journal issue | 0 | |
| identifier link | https://profdoc.um.ac.ir/paper-abstract-1018616.html | |
| identifier articleid | 1018616 |