The algebra of harmonic functions for a matrix-valued transfer operator

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dc.creatorDutkay, Dorin Ervin
dc.creatorRoysland, Kjetil
dc.date2006-11-17
dc.date2007-06-07
dc.date.accessioned2026-07-07T09:56:34Z
dc.date.available2026-07-07T09:56:34Z
dc.descriptionWe analyze matrix-valued transfer operators. We prove that the fixed points of transfer operators form a finite dimensional $C^*$-algebra. For matrix weights satisfying a low-pass condition we identify the minimal projections in this algebra as correlations of scaling functions, i.e., limits of cascade algortihms.
dc.descriptionv2, corrected some typos
dc.identifierhttps://arxiv.org/abs/math/0611539
dc.identifierhttp://arxiv.org/abs/math/0611539
dc.identifierJ. Funct. Anal. 252 (2007), no. 2, 734--762.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167019
dc.subjectFunctional Analysis
dc.subjectDynamical Systems
dc.subject37C40, 37A55, 42C40
dc.titleThe algebra of harmonic functions for a matrix-valued transfer operator
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