Wavelet constructions in non-linear dynamics

Details Wavelet constructions in non-linear dynamics Wavelet constructions in non-linear dynamics

2005-01-10

arxiv.org/abs/math/0501145v1

Electron. Res. Announc. Amer. Math. Soc. 11 (2005), 21-33

Mathematics

Dynamical Systems

13 pages, LaTeX2e "amsart" document class

Scientific paper

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.

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