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On the structure of analytic vectors for the schrodinger representation

Rahul Garg and Sundaram Thangavelu
Arxiv ID: 1006.3265Last updated: 6/29/2022
This article deals with the structure of analytic and entire vectors for the Schr\"{o}dinger 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.

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