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

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

2002-09-17

arxiv.org/abs/math/0209211v1

Bull. London Math. Soc., vol. 36, no., 2, (2004) pp. 221-230.

Mathematics

Functional Analysis

9 pages

Scientific paper

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.

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