Wavelet constructions in non-linear dynamics
Dorin Ervin Dutkay, Palle E. T. Jorgensen
Abstract
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 L2-martingales which have wavelet bases.
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