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Dynamics, Wavelets, Commutants and Transfer Operators Satisfying Crossed Product Type Commutation Relations
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (Mathematics/Applied Mathematics)ORCID iD: 0000-0003-4554-6528
2013 (English)In: Operator Algebra and Dynamics / [ed] Toke M. Carlsen, Søren Eilers, Gunnar Restorff, Sergei Silvestrov, Berlin, Heidelberg: Springer, 2013, 273-293 p.Chapter in book (Refereed)
Abstract [en]

An overview is provided of several recent results, constructions and publications relating dynamical systems, wavelets, transfer operators satisfying covariance commutation relations associated to non-invertible dynamics, defining generalizations of crossed product operator algebras to non-invertible dynamics or actions by semigroups, ideals in the corresponding crossed product type algebras and commutants of elements and subsets in the algebras and in their representations. Some open directions and open problems on this rich interplay motivated by these constructions and results are also indicated.

Place, publisher, year, edition, pages
Berlin, Heidelberg: Springer, 2013. 273-293 p.
Series
Springer Proceedings in Mathematics and Statistics, ISSN 2194-1009 ; 58
Keyword [en]
Dynamical system, Crossed product algebra, Commutant, Ideal, Wavelet representation, Quadrature mirror filter, Cantor set
National Category
Mathematical Analysis
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-24069DOI: 10.1007/978-3-642-39459-1_14Scopus ID: 2-s2.0-84893464899ISBN: 978-3-642-39458-4 (print)ISBN: 978-3-642-39459-1 (print)OAI: oai:DiVA.org:mdh-24069DiVA: diva2:682856
Funder
Swedish Research Council
Available from: 2013-12-30 Created: 2013-12-30 Last updated: 2016-10-23Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • ieee
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  • vancouver
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
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Output format
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  • asciidoc
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