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IRREDUCIBLE WAVELET REPRESENTATIONS AND ERGODIC AUTOMORPHISMS ON SOLENOIDS
(MERO, Tillämpad matematik)ORCID iD: 0000-0003-4554-6528
2011 (English)In: Operators and Matrices, ISSN 1846-3886, Vol. 5, no 2, 201-219 p.Article 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, 201-219 p.
Keyword [en]
Representation, ergodic automorphism, Cantor set, Ruelle operator, solenoid, refinable function
National Category
Mathematics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-14335ISI: 000291111800002OAI: oai:DiVA.org:mdh-14335DiVA: diva2:508892
Available from: 2012-03-12 Created: 2012-03-10 Last updated: 2014-01-10Bibliographically approved

Open Access in DiVA

arXiv:0910.0870v2(222 kB)85 downloads
File information
File name FULLTEXT01.pdfFile size 222 kBChecksum SHA-512
67d53c506e3cf7efd6e3788ee5d6ee751309d7c766e587cc5f661fdf08aef51b17ab5f4e0f3cf08123854b2c0b9aa3c14505163ef865fa61b664ac7f22ffe1f2
Type fulltextMimetype application/pdf

Other links

http://arxiv.org/abs/0910.0870

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Silvestrov, Sergei
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Total: 85 downloads
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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf