3 papers
math.CA2026
From Fractional to Set Tilings for Pairs of Lattices
Darrin Speegle
We generalize a theorem of Isbell asserting that every countably infinite doubly stochastic matrix has a positive generalized diagonal. As an application, we prove a support-reduct…
math.CA2025
Are MSF wavelets minimally supported?
Marcin Bownik, Ziemowit Rzeszotnik, Darrin Speegle
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 b…
math.CA2025
Strictly Expansive Matrices
Darrin Speegle
If is an integer valued, strictly expansive matrix, then there exists an orthonormal -wavelet whose Fourier transform is compactly supported and smooth. We show that strongl…