Are MSF wavelets minimally supported?
Marcin Bownik, Ziemowit Rzeszotnik, Darrin M. Speegle · arXiv (Cornell University) · 2025
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.