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Wavelet Representations and Their Commutant
Mälardalen University, School of Education, Culture and Communication. (Matematik/tillämpad matematik)ORCID iD: 0000-0003-4554-6528
2012 (English)In: Analysis for Science, Engineering and Beyond / [ed] Åström, Kalle; Persson, Lars-Erik; Silvestrov, Sergei D., Springer Berlin/Heidelberg, 2012, Vol. 6, p. 253-265Chapter in book (Refereed)
Abstract [en]

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.

Place, publisher, year, edition, pages
Springer Berlin/Heidelberg, 2012. Vol. 6, p. 253-265
Series
Springer Proceedings in Mathematics
National Category
Mathematics Mathematical Analysis
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-14339DOI: 10.1007/978-3-642-20236-0_9ISI: 000393989600009Scopus ID: 2-s2.0-84893582380ISBN: 978-3-642-20235-3 (print)OAI: oai:DiVA.org:mdh-14339DiVA, id: diva2:508915
Funder
Swedish Research Council, 20076338Available from: 2012-03-11 Created: 2012-03-10 Last updated: 2016-05-17Bibliographically approved

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Silvestrov, Sergei

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