Covariant Representations for Matrix-valued Transfer Operators
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.
Integral Equations and Operator Theory
"Covariant Representations for Matrix-valued Transfer Operators" (2008). Faculty Bibliography 2000s. 297.