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An analogue of Gutzmer's formula for Hermite expansions

Thangavelu, S (2008) An analogue of Gutzmer's formula for Hermite expansions. In: Studia Mathematica, 185 (3). pp. 279-290.

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We prove an analogue of Gutzmer's formula for Hermite expansions.As a consequence we obtain a new proof of a characterization of the image $L^2(R^n)$ under the Hermite semigroup. We also obtain some new orthogonality relations for complexfied Hermite functions.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Institute of Mathematics of the Polish Academy of Sciences.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Mr. Ramesh Chander
Date Deposited: 10 Jul 2008
Last Modified: 27 Aug 2008 13:34
URI: http://eprints.iisc.ac.in/id/eprint/14916

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