Hilbert spaces of martingales supporting certain substitution-dynamical systems

DOI10.1090/S1088-4173-05-00135-9zbMath1128.37005MaRDI QIDQ4674817

Palle E. T. Jorgensen, Dorin Ervin Dutkay

Publication date: 18 May 2005

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Self-similar stochastic processes (60G18) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Ergodic theory (37A99) Functional analytic lifting theory (46G15)

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On the Exel crossed product of topological covering maps ⋮ Localized bases in \(L^2(0,1)\) and their use in the analysis of Brownian motion ⋮ Orthonormal bases generated by Cuntz algebras ⋮ Families of spectral sets for Bernoulli convolutions ⋮ Spectral Theory for Gaussian Processes: Reproducing Kernels, Boundaries, and L²-Wavelet Generators with Fractional Scales ⋮ A universal envelope for Gaussian processes and their kernels ⋮ Dynamics, Wavelets, Commutants and Transfer Operators Satisfying Crossed Product Type Commutation Relations ⋮ Disintegration of projective measures ⋮ Iterated function systems, Ruelle operators, and invariant projective measures ⋮ The Role of Transfer Operators and Shifts in the Study of Fractals: Encoding-Models, Analysis and Geometry, Commutative and Non-commutative ⋮ Construction of Parseval wavelets from redundant filter systems

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