Invertibility of the Gabor frame operator on the Wiener amalgam space
| Autor: | Krishtal, Ilya A., Okoudjou, Kasso A. |
|---|---|
| Rok vydání: | 2007 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 $W(L^{\infty}, \ell^{1}_{\nu})(\mathbb{R}^{d})$, 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^{\infty}, \ell^{1}_{\nu})(\mathbb{R}^{d}) $ |
| Databáze: | arXiv |
| Externí odkaz: |
|