Holomorphic Sobolev spaces, Hermite ans special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform

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dc.creatorRadha, R.
dc.creatorThangavelu, S.
dc.date2007-10-18
dc.date.accessioned2026-07-07T08:37:02Z
dc.date.available2026-07-07T08:37:02Z
dc.descriptionThe images of Hermite and Laguerre Sobolev spaces under the Hermite and special Hermite semigroups (respectively) are characterised. These are used to characterise the Schwartz class of rapidly decreasing functions. The image of the space of all tempered distributions is also considered and a Paley-Wiener theorem for the windowed Fourier transform is proved.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0710.3481
dc.identifierhttp://arxiv.org/abs/0710.3481
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140270
dc.subjectFunctional Analysis
dc.subject42 B 35
dc.titleHolomorphic Sobolev spaces, Hermite ans special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform
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