The algebra of harmonic functions for a matrix-valued transfer operator
Functional Analysis
2008-08-14 v3 Dynamical Systems
Abstract
We analyze matrix-valued transfer operators. We prove that the fixed points of transfer operators form a finite dimensional -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.
Keywords
Cite
@article{arxiv.math/0611539,
title = {The algebra of harmonic functions for a matrix-valued transfer operator},
author = {Dorin Ervin Dutkay and Kjetil Roysland},
journal= {arXiv preprint arXiv:math/0611539},
year = {2008}
}
Comments
v2, corrected some typos