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JAT
2007
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13 years 11 months ago
Characterization and perturbation of Gabor frame sequences with rational parameters
Let A ⊂ L2(R) be at most countable, and p, q ∈ N. We characterize various frame-properties for Gabor systems of the form G(1, p/q,A) = {e2 imxg(x − np/q) : m, n ∈ Z, g ∈...
Marcin Bownik, Ole Christensen
JAT
2008
57views more  JAT 2008»
13 years 11 months ago
Invertibility of the Gabor frame operator on the Wiener amalgam space
We use a generalization of Wiener's 1/f theorem to prove that for a Gabor frame with the generator in the Wiener amalgam space W (L , 1 )(Rd ), the corresponding frame operato...
Ilya A. Krishtal, Kasso A. Okoudjou
ADCM
2007
59views more  ADCM 2007»
13 years 11 months ago
Gabor frames by sampling and periodization
By sampling the window of a Gabor frame for L2 (R) belonging to Feichtinger’s algebra, S0(R), one obtains a Gabor frame for l2 (Z). In this article we present a survey of results...
Peter L. Søndergaard