Gabor frames with atoms in M^q(R) but not in M^p(R) for any 1\leq p < q \leq 2

Pu-Ting Yu
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Abstract

This paper consists of two parts. In the first half, we solve the question raised by Heil as to whether the atom of a Gabor frame must be in $M^p(\mathbb{R})$ for some $1
对于任意 1\leq p < q \leq 2,原子在 M^q(R)中而不在 M^p(R)中的 Gabor 框架
本文由两部分组成。在前半部分,我们解决了海尔(Heil)提出的问题,即在某些$1
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