Frames and Homogeneous Spaces
Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with . As an application of this extension, we show...
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| Format: | Article |
| Language: | English |
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University of Tehran
2011-12-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
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| Online Access: | https://jsciences.ut.ac.ir/article_23871_ba09cb4771c13af98fd6e71b34fbf3ab.pdf |
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| _version_ | 1850152778414948352 |
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| author | A. Ghaani Farashahi |
| author_facet | A. Ghaani Farashahi |
| author_sort | A. Ghaani Farashahi |
| collection | DOAJ |
| description | Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with . As an application of this extension, we show that each frame for determines a frame for and each frame for arises from a frame in via the linear operator . |
| format | Article |
| id | doaj-art-bec35f4883af45d09a39135e51edec2d |
| institution | OA Journals |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 2011-12-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-bec35f4883af45d09a39135e51edec2d2025-08-20T02:25:53ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142011-12-0122435536123871Frames and Homogeneous SpacesA. Ghaani Farashahi0Department of Mathematics, Faculty of Pure Mathematics, Ferdowsi University of Mashhad,Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with . As an application of this extension, we show that each frame for determines a frame for and each frame for arises from a frame in via the linear operator .https://jsciences.ut.ac.ir/article_23871_ba09cb4771c13af98fd6e71b34fbf3ab.pdfhomogeneous spacesvoice (wavelet) transformg?invariant measurebessel sequenceframe |
| spellingShingle | A. Ghaani Farashahi Frames and Homogeneous Spaces Journal of Sciences, Islamic Republic of Iran homogeneous spaces voice (wavelet) transform g?invariant measure bessel sequence frame |
| title | Frames and Homogeneous Spaces |
| title_full | Frames and Homogeneous Spaces |
| title_fullStr | Frames and Homogeneous Spaces |
| title_full_unstemmed | Frames and Homogeneous Spaces |
| title_short | Frames and Homogeneous Spaces |
| title_sort | frames and homogeneous spaces |
| topic | homogeneous spaces voice (wavelet) transform g?invariant measure bessel sequence frame |
| url | https://jsciences.ut.ac.ir/article_23871_ba09cb4771c13af98fd6e71b34fbf3ab.pdf |
| work_keys_str_mv | AT aghaanifarashahi framesandhomogeneousspaces |