Are MSF wavelets minimally supported?
Classical Analysis and ODEs
2025-11-21 v2
Abstract
Larson's problem asks ``Must the support of the Fourier transform of a wavelet contain a wavelet set?". We give an affirmative answer to a non-measurable variant of this question by proving that the Fourier transform of a wavelet must contain a possibly non-measurable wavelet set. We also provide background results on Larson's problem and propose two new related problems.
Cite
@article{arxiv.2507.09818,
title = {Are MSF wavelets minimally supported?},
author = {Marcin Bownik and Ziemowit Rzeszotnik and Darrin Speegle},
journal= {arXiv preprint arXiv:2507.09818},
year = {2025}
}
Comments
Small errors and typos corrected from v1