Invertibility of the Gabor frame operator on the Wiener amalgam space

نویسندگان

  • Ilya A. Krishtal
  • Kasso A. Okoudjou
چکیده

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∞, ` )(R), the corresponding frame operator is invertible on this space. Therefore, for such a Gabor frame, the generator of the canonical dual belongs also to W (L∞, ` )(R).

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عنوان ژورنال:
  • Journal of Approximation Theory

دوره 153  شماره 

صفحات  -

تاریخ انتشار 2008