On the structure of analytic vectors for the schrodinger representation
Functional Analysis
2022-06-29 v1 Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1006.3265,
title = {On the structure of analytic vectors for the schrodinger representation},
author = {Rahul Garg and Sundaram Thangavelu},
journal= {arXiv preprint arXiv:1006.3265},
year = {2022}
}
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19 pages