We study from a pseudo-differential point of view the frame operator associated with a Gabor system. In particular we show how an application of the classical boundedness theorem of Calderón -Vaillancourt yields sufficient conditions for a Gabor system to form a frame in the space of square integrable function.
Pseudo-differential operators and existence of Gabor frames
Boggiatto, Paolo;Garello, Gianluca
2020-01-01
Abstract
We study from a pseudo-differential point of view the frame operator associated with a Gabor system. In particular we show how an application of the classical boundedness theorem of Calderón -Vaillancourt yields sufficient conditions for a Gabor system to form a frame in the space of square integrable function.
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