An equivalence relation on wavelets in higher dimensions associated with matrix dilations

2002/09/17 by Biswaranjan Behera
Mathematics · #math.FA #msc:42C40

paper · pdf

published as Bull. London Math. Soc., vol. 36, no., 2, (2004) pp. 221-230. · 9 pages

arxiv created 2002/09/17 · arxiv updated 2009/11/30

Abstract

We introduce an equivalence relation on the set of single wavelets of L²(Rⁿ) 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.

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