Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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 $W(L^{\infty},
\ell^{1}_{\nu})(\mathbb{R}^{d})$, 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}) $

17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg