Title

Wavelet Representations And Their Commutant

Abstract

We study the reducibility of the wavelet representation associated to various QMF filters, including those associated to Cantor sets. We show there are connections between this problem, the harmonic analysis of transfer operators and the ergodic properties of shifts on solenoids. We prove that if the QMF filter does not have constant absolute value, then the wavelet representations is reducible. © Springer-Verlag Berlin Heidelberg 2012.

Publication Date

1-1-2012

Publication Title

Springer Proceedings in Mathematics

Volume

6

Number of Pages

253-265

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/978-3-642-20236-0_9

Socpus ID

84893582380 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84893582380

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