Wavelet constructions in non-linear dynamics

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We construct certain Hilbert spaces associated with a class of non-linear dynamical systems X. These are systems which arise from a generalized self-similarity, and an iterated substitution. We show that when a weight function W on X is given, then we may construct associated Hilbert spaces H(W) of L^2-martingales which have wavelet bases.
13 pages, LaTeX2e "amsart" document class

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Dynamical Systems, Functional Analysis, 60G18 (Primary) 42C40, 46G15, 42A65, 28A50, 30D05, 47D07, 37F20 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/73810

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501145
 http://arxiv.org/abs/math/0501145
 Electron. Res. Announc. Amer. Math. Soc. 11 (2005), 21-33

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arXiv