Abstract:
We show the sparse complete Gabor frame with systems over irregular lattices .The pairs of dual Gabor frame generated by compact support , desired frequency localization and polynomials are considered . Similarly we consider the Gabor windows supported on a closed interval and compactly supported dual windows with applied and computational harmonic analysis . We study the compactness of time – frequency analysis of localization operators on Hilbert space , partitions for the Gelfand triple and characterizations of modulation spaces with localization operators. We determine the Beurling density and shift-invariant weighted irregular Gabor systems , tight frames and dual systems using windows in the Schwartz class .
