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On Gabor orthonormal bases over finite prime fields

On Gabor orthonormal bases over finite prime fields

We study Gabor orthonormal windows in L 2 ( Z p d ) for translation and modulation sets, where p is prime and d ⩾ 2 . We prove that for a set E ⊂ Z p d , the indicator function 1 E is a Gabor window if and …