Simultaneous estimates for vector-valued Gabor frames of Hermite functions
نویسنده
چکیده
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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ورودعنوان ژورنال:
- Adv. Comput. Math.
دوره 29 شماره
صفحات -
تاریخ انتشار 2008