An analogue of Gutzmer's formula for Hermite expansions
Classical Analysis and ODEs
2007-05-23 v1 Functional Analysis
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 under the Hermite semigroup. We also obtain some new orthogonality relations for complexified Hermite functions.
Keywords
Cite
@article{arxiv.0704.2834,
title = {An analogue of Gutzmer's formula for Hermite expansions},
author = {S. Thangavelu},
journal= {arXiv preprint arXiv:0704.2834},
year = {2007}
}
Comments
15 pages