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JAT
2007
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13 years 4 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 4 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 4 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