Smitha, Chettutty ; Thangavelu, Sundaram (2003) On strichartz's uncertainty inequality for the heisenberg group Tohoku Mathematical Journal, 55 (3). pp. 451-466. ISSN 0040-8735
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Official URL: http://www.jstage.jst.go.jp/article/tmj/55/3/55_45...
Related URL: http://dx.doi.org/10.2748/tmj.55.451
Abstract
The aim of this article is to obtain a lower bound for the variance of a normalised L2 function on the Heisenberg group under the assumption that its Fourier transform is small along a sequence of well distributed rays in the Heisenberg fan. This is achieved by proving an uncertainty inequality for Laguerre series which is analogous to the one obtained by Strichartz for spherical harmonic expansions. Applications to Hermite and special Hermite expansions are also given.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Mathematical Institute of Tohoku University. |
| Keywords: | Fourier Transform; Hermite and Laguerre Functions; Spherical Harmonics; Heisenberg Group; Representations |
| ID Code: | 53606 |
| Deposited On: | 09 Aug 2011 11:40 |
| Last Modified: | 09 Aug 2011 11:40 |
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