Covariant representations for matrix-valued transfer operators

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Motivated by the multivariate wavelet theory, and by the spectral theory of transfer operators, we construct an abstract affine structure and a multiresolution associated to a matrix-valued weight. We describe the one-to-one correspondence between the commutant of this structure and the fixed points of the transfer operator. We show how the covariant representation can be realized on $\mathbb{R}^n$ if the weight satisfies some low-pass condition.
new version, motivation added

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

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http://salesiana.dossiersoluciones.com/handle/123456789/132577

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701453
 http://arxiv.org/abs/math/0701453

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arXiv