Title

Covariant Representations for Matrix-valued Transfer Operators

Authors

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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