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arXiv:math/0209211 [math.FA]AbstractReferencesReviewsResources

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

Biswaranjan Behera

Published 2002-09-17Version 1

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.

Comments: 9 pages
Journal: Bull. London Math. Soc., vol. 36, no., 2, (2004) pp. 221-230.
Categories: math.FA
Subjects: 42C40
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