On the structure of analytic vectors for the schrodinger representation

Details On the structure of analytic vectors for the schrodinger representation On the structure of analytic vectors for the schrodinger representation

2010-06-16

arxiv.org/abs/1006.3265v1

Mathematics

Functional Analysis

19 pages

Scientific paper

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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