English

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

Classical Analysis and ODEs 2009-09-29 v4 Operator Algebras

Abstract

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

Cite

@article{arxiv.math/0405372,
  title  = {Certain representations of the Cuntz relations, and a question on wavelets decompositions},
  author = {Palle E. T. Jorgensen},
  journal= {arXiv preprint arXiv:math/0405372},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T17:05:40.079Z