An analogue of Gutzmer's formula for Hermite expansions

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dc.creatorThangavelu, S.
dc.date2007-04-21
dc.date.accessioned2026-07-07T07:57:46Z
dc.date.available2026-07-07T07:57:46Z
dc.descriptionWe prove an analogue of Gutzmer's formula for Hermite expansions. As a consequence we obtain a new proof of a characterisation of the image of $ L^2(\R^n) $ under the Hermite semigroup. We also obtain some new orthogonality relations for complexified Hermite functions.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0704.2834
dc.identifierhttp://arxiv.org/abs/0704.2834
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127767
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.subject42A38
dc.titleAn analogue of Gutzmer's formula for Hermite expansions
dc.typetext

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