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

    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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