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Compactly supported wavelets and representations of the Cuntz relations, II

Palle E. T. Jorgensen

math.FAarXiv:math/0006100

Abstract

We show that compactly supported wavelets in L2(R) of scale N may be effectively parameterized with a finite set of spin vectors in CN, and conversely that every set of spin vectors corresponds to a wavelet. The characterization is given in terms of irreducible representations of orthogonality relations defined from multiresolution wavelet filters.

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