On the structure of analytic vectors for the Schrödinger representation

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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