An Elementary Eigenvalue Criterion for One-Parameter Dilation Groups to Admit a Continuous Wavelet
Classical Analysis and ODEs
2014-10-28 v1
Abstract
In this article, we present a simple criterion for checking whether a one-parameter matrix group of dilations admits a continuous wavelet. This criterion involves only checking that the eigenvalues of the symmetric part of the matrix have the same sign. In this criterion gives a complete characterization of such matrix groups.
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Cite
@article{arxiv.1410.6876,
title = {An Elementary Eigenvalue Criterion for One-Parameter Dilation Groups to Admit a Continuous Wavelet},
author = {Netanel Friedenberg and Peter M. Luthy and Guido L. Weiss},
journal= {arXiv preprint arXiv:1410.6876},
year = {2014}
}
Comments
11 pages