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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 1945-3795Article in journal (Refereed) In press
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 (Notices Amer. Math. Soc. 57,  1094-1104, 2010).

Place, publisher, year, edition, pages
2018.
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Probability Theory and Statistics
Research subject
Mathematical Statistics
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URN: urn:nbn:se:ltu:diva-69050OAI: oai:DiVA.org:ltu-69050DiVA, id: diva2:1236276
Available from: 2018-08-01 Created: 2018-08-01 Last updated: 2018-08-14

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Jonsson, Adam

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