Papers › The algebra of harmonic functions for a matrix-valued transfer operator
The algebra of harmonic functions for a matrix-valued transfer operator
Dorin Ervin Dutkay, Kjetil Roysland
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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.
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