On the Foiaş and Strătilă theorem
DOI10.4064/SM231227-7-2MaRDI QIDQ6580006
Publication date: 29 July 2024
Published in: Studia Mathematica (Search for Journal in Brave)
Gaussian processspectral measureHelson setCarleman's conditionergodic action of groupsFoiaş and Strătilă
Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Ergodic theorems, spectral theory, Markov operators (37A30) General groups of measure-preserving transformations and dynamical systems (37A15) Relations between ergodic theory and harmonic analysis (37A46)
Cites Work
- Substitution dynamical systems. Spectral analysis
- Some results on Kronecker, Dirichlet and Helson sets
- Groups of continuous functions in harmonic analysis
- Mixing constructions with infinite invariant measure and spectral multiplicities
- Disjointness properties for Cartesian products of weakly mixing systems
- Poisson suspensions and infinite ergodic theory
- Mesures ε-idempotentes de norme bornée
- On the disjointness problem for Gaussian automorphisms
- 𝑝-Rider sets are 𝑞-Sidon sets
- Ergodic automorphisms whose weak closure of off-diagonal measures consists of ergodic self-joinings
- Drury's lemma and Helson sets
- On the spectrum of Cartesian powers of classical automorphisms
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