Thangavelu, S. (2010) A Paley-Wiener theorem for some eigenfunction expansions Advances in Pure and Applied Mathematics . No.PP. given. ISSN 1867-1152
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Official URL: http://www.reference-global.com/doi/abs/10.1515/AP...
Related URL: http://dx.doi.org/10.1515/APAM.2010.042
Abstract
We prove a general version of Paley-Wiener theorem characterising functions with finite Fourier expansions. The result covers Fourier series on compact symmetric spaces, Hermite and special Hermite expansions as particular cases. Gutzmer's formula plays an important role in the formulation and proof of the theorem.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to De Gruyte. |
| Keywords: | Segal-Bargmann Transform; Hermite and Laguerre Functions; Heisenberg Groups; Symmetric Spaces |
| ID Code: | 53575 |
| Deposited On: | 09 Aug 2011 11:42 |
| Last Modified: | 10 Aug 2011 07:11 |
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