Simultaneous estimates for vector-valued Gabor frames of Hermite functions

Details Simultaneous estimates for vector-valued Gabor frames of Hermite functions Simultaneous estimates for vector-valued Gabor frames of Hermite functions

2006-08-02

arxiv.org/abs/math/0608050v1

Mathematics

Functional Analysis

16 pages

Scientific paper

We derive frame estimates for vector-valued Gabor systems with window functions belonging to Schwartz space. The main result provides frame bound estimates for windows composed of Hermite functions. The proof is based on a recently established sampling theorem for the simply connected Heisenberg group, which is translated to a family of frame estimates via a direct integral decomposition.

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