An equivalence relation on wavelets in higher dimensions associated with matrix dilations
Functional Analysis
2007-05-23 v1
Abstract
We introduce an equivalence relation on the set of single wavelets of L^2(R^n) associated with an arbitrary dilation matrix. The corresponding equivalence classes are characterized in terms of the support of the Fourier transform of wavelets and it is shown that each of these classes is non-empty.
Keywords
Cite
@article{arxiv.math/0209211,
title = {An equivalence relation on wavelets in higher dimensions associated with matrix dilations},
author = {Biswaranjan Behera},
journal= {arXiv preprint arXiv:math/0209211},
year = {2007}
}
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9 pages