Garg, Rahul ; Thangavelu, Sundaram (2011) On the structure of analytic vectors for the Schrödinger representation Monatshefte für Mathematik . ISSN 0026-9255
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Official URL: http://www.springerlink.com/content/836n2358lt1337...
Related URL: http://dx.doi.org/10.1007/s00605-011-0286-4
Abstract
This article deals with the structure of analytic and entire vectors for the Schrödinger representations of the Heisenberg group. Using refined versions of Hardy's theorem and their connection with Hermite expansions we obtain very precise representation theorems for analytic and entire vectors.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer. |
| Keywords: | Heisenberg Group; Schrödinger Representations; Hermite and Laguerre Functions; Weyl Transform; Hermite Semigroup; Poisson-hermite Semigroup |
| ID Code: | 64423 |
| Deposited On: | 10 Oct 2011 06:14 |
| Last Modified: | 29 Nov 2011 11:09 |
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