ITERATED FUNCTION SYSTEMS, REPRESENTATIONS, AND HILBERT SPACE

DOI10.1142/S0129167X04002569zbMath1060.28006arXivmath/0402175OpenAlexW3103010073MaRDI QIDQ4670289

Palle E. T. Jorgensen

Publication date: 18 April 2005

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402175

zbMATH Keywords

Hilbert spacemultiresolutionCuntz algebraproduct measuresscaling functioncompletely positive mapsubdivision schemeiterated function systemsorthogonality relationsIFSwavelet packetsequivalence of measuressingular measurescreation operatorsabsolutely continuous measurespyramid algorithm

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General theory of (C^*)-algebras (46L05) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Fractals (28A80)

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Cites Work

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• Wavelets through a looking glass. The world of the spectrum
• Simple \(C^*\)-algebras generated by isometries
• On equivalence of infinite product measures
• Ten Lectures on Wavelets
• Minimality of the data in wavelet filters (with an appendix by Brian Treadway)