Thangavelu, S. (2008) An analogue of Gutzmer's formula for Hermite expansions Studia Mathematica, 185 (3). pp. 279-290. ISSN 0039-3223
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Official URL: http://journals.impan.gov.pl/sm/Inf/185-3-5.html
Related URL: http://dx.doi.org/10.4064/sm185-3-5
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 L2(Rn) under the Hermite semigroup. We also obtain some new orthogonality relations for complexified Hermite functions.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Institute of Mathematics of the Polish Academy of Sciences. |
| ID Code: | 64407 |
| Deposited On: | 10 Oct 2011 06:03 |
| Last Modified: | 18 May 2016 12:50 |
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