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- W2952157024 abstract "We prove that the HRT (Heil, Ramanathan, and Topiwala) conjecture holds for finite Gabor systems generated by square-integrable functions with certain behavior at infinity. These functions include functions ultimately decaying faster than any exponential function, as well as square-integrable functions ultimately analytic and whose germs are in a Hardy field. Two classes of the latter type of functions are the set of square-integrable logarithmico-exponential functions and the set of square-integrable Pfaffian functions. We also prove the HRT conjecture for certain finite Gabor systems generated by positive functions." @default.
- W2952157024 created "2019-06-27" @default.
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- W2952157024 date "2012-11-02" @default.
- W2952157024 modified "2023-09-27" @default.
- W2952157024 title "Linear Independence of Finite Gabor Systems Determined by Behavior at Infinity" @default.
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