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Invariant sets for QMF functions
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0001-7656-7271
2018 (English)In: Rocky Mountain Journal of Mathematics, ISSN 0035-7596, E-ISSN 1945-3795, Vol. 48, no 8, p. 2559-2571Article in journal (Refereed) Published
Abstract [en]

A quadrature mirror filter (QMF) function can be considered as the transition function for a Markov process on the unit interval. The QMF functions that generate scaling functions for multiresolution analyses are then distinguished by properties of their invariant sets. By characterizing these sets, we answer in the affirmative a question raised by Gundy.

Place, publisher, year, edition, pages
Tempe (AZ): Rocky Mountain Mathematics Consortium, 2018. Vol. 48, no 8, p. 2559-2571
Keywords [en]
Scaling functions, Markov processes, invariant sets
National Category
Probability Theory and Statistics
Research subject
Mathematical Statistics
Identifiers
URN: urn:nbn:se:ltu:diva-69050DOI: 10.1216/RMJ-2018-48-8-2559ISI: 000454492300005Scopus ID: 2-s2.0-85061669810OAI: oai:DiVA.org:ltu-69050DiVA, id: diva2:1236276
Note

Validerad;2019;Nivå 2;2019-01-29 (inah)

Available from: 2018-08-01 Created: 2018-08-01 Last updated: 2019-09-13Bibliographically approved

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Jonsson, Adam

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