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

arXiv - MATH - Functional Analysis Pub Date : 2024-08-29 DOI:arxiv-2408.16593

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

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