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arXiv:math/0611539 [math.FA]AbstractReferencesReviewsResources

The algebra of harmonic functions for a matrix-valued transfer operator

Dorin Ervin Dutkay, Kjetil Roysland

Published 2006-11-17, updated 2007-06-07Version 3

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.

Comments: v2, corrected some typos
Journal: J. Funct. Anal. 252 (2007), no. 2, 734--762.
Categories: math.FA, math.DS
Subjects: 37C40, 37A55, 42C40
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