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Wavelet constructions in non-linear dynamics
Journal article   Open access

Wavelet constructions in non-linear dynamics

Dorin Ervin Dutkay and Palle E Jorgensen
Electronic Research Announcements of the American Mathematical Society, Vol.11(3), pp.21-33
2005
DOI: 10.1090/S1079-6762-05-00143-5
url
https://doi.org/10.1090/S1079-6762-05-00143-5View
Published (Version of record) Open Access

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 L 2 -martingales which have wavelet bases.

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