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Are MSF wavelets minimally supported?

delete2026-04-01
delete0
PRE
AI
B
Bownik, Marcin
R
Rzeszotnik, Ziemowit
S
Speegle, Darrin *
DOI：10.1016/j.exmath.2026.125768delete
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Abstract

Abstract

En 中文
Larson's problem Larson (2007, Problem 3) 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. (c) 2026 Elsevier GmbH. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
Keywords:
Wavelet set
Tilings

Journal

E
Expositiones Mathematicae
IF:
0.9
Papers:
43
Citations:
0

Organization

U
university of wrocław
Scholars:
262
Papers: 118
Citations: 0
U
University of Oregon
Scholars:
928
Papers: 503
Citations: 3
S
Saint Louis University
Scholars:
1.1W
Papers: 8.7K
Citations: 151
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