Abstract
We present a complete characterization of Gabor frame operators on finite dimen-sional Hilbert space L2(Γ),where Γ=(Z)m1 ×(Z)m2 × … ×(Z)mp and m1,m2,...,mp are positive integers.The notion of generalized B-modulation and generalized B-translation is introduced and some significant properties of the generalized pseudo B-Gabor like frames are discussed.
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