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math.DS2005★ 27 cited
Hilbert spaces built on a similarity and on dynamical renormalization
Dorin Ervin Dutkay, Palle E. T. Jorgensen
We develop a Hilbert space framework for a number of general multi-scale problems from dynamics. The aim is to identify a spectral theory for a class of systems based on iterations…
math.DS2005
Wavelet constructions in non-linear dynamics
Dorin Ervin Dutkay, Palle E. T. Jorgensen
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 sub…