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Irreducible wavelet representations and ergodic automorphisms on solenoids
University of Central Florida, US.
Texas A and M University, United sTATES.
Lund University. (Mathematics/Applied Mathematics)ORCID iD: 0000-0003-4554-6528
2011 (English)In: Operators and Matrices, ISSN 1846-3886, E-ISSN 1848-9974, Vol. 5, no 2, p. 201-219Article in journal (Refereed) Published
Abstract [en]

We focus on the irreducibility of wavelet representations. We present some connections between the following notions: covariant wavelet representations, ergodic shifts on solenoids, fixed points of transfer (Ruelle) operators and solutions of refinement equations. We investigate the irreducibility of the wavelet representations, in particular the representation associated to the Cantor set, introduced in [13], and we present several equivalent formulations of the problem.

Place, publisher, year, edition, pages
2011. Vol. 5, no 2, p. 201-219
National Category
Mathematical Analysis
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-22057DOI: 10.7153/oam-05-14ISI: 000291111800002Scopus ID: 2-s2.0-79955959997OAI: oai:DiVA.org:mdh-22057DiVA, id: diva2:679238
Available from: 2013-12-14 Created: 2013-10-23 Last updated: 2017-12-06Bibliographically approved

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Publisher's full textScopushttp://dx.doi.org/10.7153/oam-05-14

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Silvestrov, Sergei

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