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

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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.
v2, corrected some typos

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Functional Analysis, Dynamical Systems, 37C40, 37A55, 42C40

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http://salesiana.dossiersoluciones.com/handle/123456789/167019

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611539
 http://arxiv.org/abs/math/0611539
 J. Funct. Anal. 252 (2007), no. 2, 734--762.

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arXiv