Invertibility of the Gabor frame operator on the Wiener amalgam space
نویسندگان
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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ورودعنوان ژورنال:
- Journal of Approximation Theory
دوره 153 شماره
صفحات -
تاریخ انتشار 2008