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arXiv · 0704.2834

An analogue of Gutzmer's formula for Hermite expansions

S. Thangavelu
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Abstract

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.

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S. Thangavelu. 2007-04-21. An analogue of Gutzmer's formula for Hermite expansions. https://arxiv.org/abs/0704.2834

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