Title

The Algebra Of Harmonic Functions For A Matrix-Valued Transfer Operator

Keywords

C -algebra *; Completely positive; Spectral radius; Transfer operator

Abstract

We 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 algorithms. © 2007 Elsevier Inc. All rights reserved.

Publication Date

11-15-2007

Publication Title

Journal of Functional Analysis

Volume

252

Issue

2

Number of Pages

734-762

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.jfa.2007.04.014

Socpus ID

35248839474 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/35248839474

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