Progressive Gelfand-Shilov spaces and wavelet transforms

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Назив:	Progressive Gelfand-Shilov spaces and wavelet transforms
Аутори:	Rakić D. Teofanov, Nenad
Датум издавања:	19-сеп-2012
Часопис:	Journal of Function Spaces and Applications
Сажетак:	We discuss progressive Gelfand-Shilov spaces consisting of analytic signals with almost exponential decay in time and frequency variables. It is shown that such signals enjoy an additional localization property. We define wavelet transform and inverse wavelet transform in (progressive) Gelfand-Shilov spaces and study their continuity properties. It is shown that with a slightly faster decay in domain we may control the decay of the wavelet transform independently in each variable. © 2012 Dušan Rakić and Nenad Teofanov.
URI:	https://open.uns.ac.rs/handle/123456789/15383
ISSN:	09726802
DOI:	10.1155/2012/951819
Налази се у колекцијама:	PMF Publikacije/Publications TF Publikacije/Publications