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 operator is invertible on this space. Therefore, for such a Gabor frame, the generator of the canonical dual belongs also to W (L , 1 )(Rd ).

• Type: Journal
• Year: 2008
• Where: JAT
• Authors: Ilya A. Krishtal, Kasso A. Okoudjou
• Keywords: Corresponding Frame Operator, Gabor Frame, JAT 2008, Wiener Amalgam Space