Simultaneous estimates for vector-valued Gabor frames of Hermite functions
Functional Analysis
2007-05-23 v1 Representation Theory
Abstract
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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Cite
@article{arxiv.math/0608050,
title = {Simultaneous estimates for vector-valued Gabor frames of Hermite functions},
author = {Hartmut Fuehr},
journal= {arXiv preprint arXiv:math/0608050},
year = {2007}
}
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16 pages