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

Palle E. T. Jorgensen
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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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Palle E. T. Jorgensen. 2005-06-29. Certain representations of the Cuntz relations, and a question on wavelets decompositions. https://arxiv.org/abs/math/0405372

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