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

2024/08/29 by Pu-Ting Yu, Yu, Pu-Ting
Mathematics · Physics and Astronomy · Engineering · #Mathematical Analysis and Transform Methods #Optical and Acousto-Optic Technologies #Photoacoustic and Ultrasonic Imaging

paper · pdf · doi:10.48550/arxiv.2408.16593

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(ℝ) for some 1

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