Covariant Representations for Matrix-valued Transfer Operators

    Authors

    D. E. Dutkay;K. Roysland

    Comments

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    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 the weight satisfies some low-pass condition.

    Journal Title

    Integral Equations and Operator Theory

    Volume

    62

    Issue/Number

    3

    Publication Date

    1-1-2008

    Document Type

    Article

    First Page

    383

    Last Page

    410

    WOS Identifier

    WOS:000260847900004

    ISSN

    0378-620X

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