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REDUCIBILITY OF THE WAVELET REPRESENTATION ASSOCIATED TO THE CANTOR SET
Mälardalen University, School of Education, Culture and Communication. Lund University. (Mathematics/Applied Mathematics)ORCID iD: 0000-0003-4554-6528
2011 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 139, no 10, p. 3657-3664Article in journal (Refereed) Published
Abstract [en]

We answer a question by Judith Packer about the irreducibility of the wavelet representation associated to the Cantor set. We prove that if the QMF filter does not have constant absolute value, then the wavelet representation is reducible.

Place, publisher, year, edition, pages
American Mathematical Society (AMS), 2011. Vol. 139, no 10, p. 3657-3664
Keywords [en]
Wavelet representation, quadrature mirror filter, Cantor set
National Category
Mathematical Analysis
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-14334DOI: 10.1090/S0002-9939-2011-10913-4ISI: 000295432600025OAI: oai:DiVA.org:mdh-14334DiVA, id: diva2:508895
Funder
Swedish Research Council, 20076338Available from: 2012-03-10 Created: 2012-03-10 Last updated: 2017-12-07Bibliographically approved

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Silvestrov, Sergei

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