Hilbert spaces built on a similarity and on dynamical renormalization

DOI10.1063/1.2196750zbMath1117.46017arXivmath/0503343OpenAlexW1973034157MaRDI QIDQ3441834

Dorin Ervin Dutkay, Palle E. T. Jorgensen

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503343

zbMATH Keywords

dynamical systemsHilbert spacesymbolic dynamicsmultiscale problemswavelet theoryscales of subspaces

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Topological dynamics (37B99) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Low-dimensional dynamical systems (37E99)

Related Items (9)

Markov chains and generalized wavelet multiresolutions ⋮ Analysis of fractals, image compression, entropy encoding, Karhunen-Loève transforms ⋮ Affine systems: asymptotics at infinity for fractal measures ⋮ Harmonic analysis of iterated function systems with overlap ⋮ The measure of a measurement ⋮ Probability measures on solenoids corresponding to fractal wavelets ⋮ Generalized multiresolution analyses with given multiplicity functions ⋮ KMS states and branched points ⋮ Unitary representations of wavelet groups and encoding of iterated function systems in solenoids

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