Strictly Expansive Matrices
Classical Analysis and ODEs
2025-06-10 v1
Abstract
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 strongly connected diagonally dominant integer matrices are strictly expansive, and that integer matrices with determinant two are not strictly expansive with respect to particularly nice sets.
Cite
@article{arxiv.2506.07538,
title = {Strictly Expansive Matrices},
author = {Darrin Speegle},
journal= {arXiv preprint arXiv:2506.07538},
year = {2025}
}