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arXiv · 1410.6876

An Elementary Eigenvalue Criterion for One-Parameter Dilation Groups to Admit a Continuous Wavelet

Netanel Friedenberg·Peter M. Luthy·Guido L. Weiss
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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 $R^2$ this criterion gives a complete characterization of such matrix groups.

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Netanel Friedenberg, Peter M. Luthy, Guido L. Weiss. 2014-10-25. An Elementary Eigenvalue Criterion for One-Parameter Dilation Groups to Admit a Continuous Wavelet. https://arxiv.org/abs/1410.6876

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