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

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

2004-05-19

arxiv.org/abs/math/0405372v4

Mathematics

Classical Analysis and ODEs

v.2 has a new title and additional material in the introduction. Prepared using the amsproc.cls document class

Scientific paper

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

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