The algebra of harmonic functions for a matrix-valued transfer operator
Dorin Ervin Dutkay, Kjetil Roysland
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 algortihms.
Create a lesson
Related papers
Every compact operator is a commutator of compact operators
Zhichao Liu
Normal-Direction Energy and Fourier Restriction for Convex Planar Curves
Vicente Vergara
Zero-product problem for Toeplitz operators on the Fock space
Jie Qin
The best Musielak-Orlicz approximation by linear subspaces
Juan Costa Ponce, Sergio Favier, Fabián Levis
Lévy measures for Dirichlet-type spaces on the unit bidisc
Santu Bera, Shanola S. Sequeira
Quantum expanders and dimension-free commutator bounds
Tuan Tran