Title

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

Authors

Authors

D. E. Dutkay;K. Roysland

Comments

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Abbreviated Journal Title

J. Funct. Anal.

Keywords

transfer operator; spectral radius; C*-algebra; completely positive; WAVELET GALERKIN OPERATOR; THERMODYNAMIC FORMALISM; ESSENTIAL SPECTRUM; PERIOD FUNCTIONS; HECKE OPERATORS; MAPS; GAMMA(0)(N); STABILITY; SYSTEMS; SPACES; Mathematics

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. (c) 2007 Elsevier Inc. All rights reserved.

Journal Title

Journal of Functional Analysis

Volume

252

Issue/Number

2

Publication Date

1-1-2007

Document Type

Article

Language

English

First Page

734

Last Page

762

WOS Identifier

WOS:000250971300013

ISSN

0022-1236

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