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arXiv · 2507.09818

Are MSF wavelets minimally supported?

Marcin Bownik·Ziemowit Rzeszotnik·Darrin Speegle
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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.

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Marcin Bownik, Ziemowit Rzeszotnik, Darrin Speegle. 2025-07-13. Are MSF wavelets minimally supported?. https://arxiv.org/abs/2507.09818

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