Thangavelu, Sundaram (1995) Mean periodic functions on phase space and the Pompeiu problem with a twist Annales de l'Institut Fourier, 45 (4). pp. 1007-1035. ISSN 0373-0956
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Abstract
We show that when f is a mean periodic function of tempered growth on the reduced Heisenberg group then the closed translation and rotation invariant subspace generated by f contains an elementary spherical function. Using a Paley-Wiener theorem for the Fourier-Weyl transform we formulate a conjecture for arbitrary mean periodic functions.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Institut Fourier, Université Joseph Fourier, Grenoble. |
| Keywords: | Mean Periodic Functions; Spherical Functions; Representations; Paley Wiener Theorem; Weyl Transform; Pompeiu Problem |
| ID Code: | 64395 |
| Deposited On: | 10 Oct 2011 05:51 |
| Last Modified: | 18 May 2016 12:50 |
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