An analogue of Gutzmer's formula for Hermite expansions

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We 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.
15 pages

Keywords

Classical Analysis and ODEs, Functional Analysis, 42A38

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/127767

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.2834
 http://arxiv.org/abs/0704.2834

Collections

arXiv