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Compactly supported wavelets and representations of the Cuntz relations, II · arXivDesk

math/0006100Jun 14, 200010 or 11 pages, SPIE Technical Conference, Wavelet Applications in Signal and Image Processing VIII

Compactly supported wavelets and representations of the Cuntz relations, II

Palle E. T. Jorgensen

Functional Analysis Mathematical Physics

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Abstract

We show that compactly supported wavelets in L^2(R) of scale N may be effectively parameterized with a finite set of spin vectors in C^N, 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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We show that compactly supported wavelets in L²(R) of scale N may be effectively parameterized with a finite set of spin vectors in C^N, 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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The paper addresses: Compactly supported wavelets and representations of the Cuntz relations, II.
We show that compactly supported wavelets in L²(R) of scale N may be effectively parameterized with a finite set of spin vectors in C^N, and conversely that every set of spin vectors corresponds to a wavelet.

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Author comment: 10 or 11 pages, SPIE Technical Conference, Wavelet Applications in Signal and Image Processing VIII