Covariant representations for matrix-valued transfer operators

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dc.creatorDutkay, Dorin Ervin
dc.creatorRoysland, Kjetil
dc.date2007-01-16
dc.date2007-06-28
dc.date.accessioned2026-07-07T08:12:47Z
dc.date.available2026-07-07T08:12:47Z
dc.descriptionMotivated by the multivariate wavelet theory, and by the spectral theory of transfer operators, we construct an abstract affine structure and a multiresolution associated to a matrix-valued weight. We describe the one-to-one correspondence between the commutant of this structure and the fixed points of the transfer operator. We show how the covariant representation can be realized on $\mathbb{R}^n$ if the weight satisfies some low-pass condition.
dc.descriptionnew version, motivation added
dc.identifierhttps://arxiv.org/abs/math/0701453
dc.identifierhttp://arxiv.org/abs/math/0701453
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132577
dc.subjectFunctional Analysis
dc.subjectDynamical Systems
dc.subject37C40, 37A55, 42C40
dc.titleCovariant representations for matrix-valued transfer operators
dc.typetext

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