The algebra of harmonic functions for a matrix-valued transfer operator
Abbreviated Journal Title
J. Funct. Anal.
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
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 of Functional Analysis
"The algebra of harmonic functions for a matrix-valued transfer operator" (2007). Faculty Bibliography 2000s. 7084.