Geodesic
Wavelet constructions in non-linear dynamics
Dutkay, Dorin1 ; Jorgensen, Palle1
1Department of Mathematics, The University of Iowa, 14 MacLean Hall, Iowa City, IA 52242-1419
Electronic research announcements of the American Mathematical Society, Tome 11 (2005), pp. 21-33
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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.
DOI : 10.1090/S1079-6762-05-00143-5

Dutkay, Dorin  1   ; Jorgensen, Palle  1

1 Department of Mathematics, The University of Iowa, 14 MacLean Hall, Iowa City, IA 52242-1419 
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Dutkay, Dorin; Jorgensen, Palle. Wavelet constructions in non-linear dynamics. Electronic research announcements of the American Mathematical Society, Tome 11 (2005), pp. 21-33. doi: 10.1090/S1079-6762-05-00143-5

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