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Gabor Analysis in Weighted Amalgam Spaces
Amalgam spaces frames Gabor expansions Gabor frames modulation spaces phase-space sampling time-frequency analysis Walnut representation
2015/12/10
Gabor frames {e2πinβ·xg(x − kα)}n,k∈Zd provide series representations not only of functions in L2(Rd) but of the entire range of spaces Mν p,q known as the modulation spaces. Membership of a fun...
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...