Title

Covariant Representations For Matrix-Valued Transfer Operators

Keywords

C*-algebra; Cocycle; Harmonic map; Martingale; Transfer operator

Abstract

Motivated 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 ℝn if the weight satisfies some low-pass condition. © 2008 Birkhaueser.

Publication Date

11-1-2008

Publication Title

Integral Equations and Operator Theory

Volume

62

Issue

3

Number of Pages

383-410

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s00020-008-1623-4

Socpus ID

56149119641 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/56149119641

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