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Certain representations of the Cuntz relations, and a question on wavelets decompositions

Palle E. T. Jorgensen

math.CAarXiv:math/0405372

Abstract

We compute the Coifman-Meyer-Wickerhauser measure μ for certain families of quadrature mirror filters (QMFs), and we establish that for a subclass of QMFs, μ contains a fractal scale. In particular, these measures μ are not in the Lebesgue class.

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