Invertibility of the Gabor frame operator on the Wiener amalgam space

Ilya A. Krishtal, Kasso A. Okoudjou

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 $W(L^{\infty },{\ell }_{\nu }^1)({\mathbb{R}}^d)$, the co…