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MULTI-WINDOW GABOR FRAMES IN AMALGAM SPACES
Wiener amalgam space Gabor frame Wiener’s Lemma
2015/12/10
We show that multi-window Gabor frames with windows in the Wiener algebra W(L∞, `1) are Banach frames for all Wiener amalgam spaces. As a by-product of our results we prove thecanonical dual of a Gabo...
Banach Gabor frames with Hermite functions: polyanalytic spaces from the Heisenberg group
Gabor frames Heisenberg group Hermite functions
2011/2/23
Gabor frames with Hermite functions are equivalent to sampling sequences in true Fock spaces of polyanalytic functions. In the L2-case, such an equivalence follows from the unitarity of the polyanalyt...