Frames and Homogeneous Spaces | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 8، دوره 22، شماره 4، 2011، صفحه 355-361 اصل مقاله (168.95 K) | ||
| نویسنده | ||
| A. Ghaani Farashahi | ||
| Department of Mathematics, Faculty of Pure Mathematics, Ferdowsi University of Mashhad, | ||
| چکیده | ||
| 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 . | ||
| کلیدواژهها | ||
| Homogeneous spaces؛ Voice (Wavelet) transform؛ G?invariant measure؛ Bessel sequence؛ Frame | ||
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