Cocycles and spectra

DOI10.1007/BF02385994zbMath0401.28018OpenAlexW1964103784MaRDI QIDQ1255113

Henry Helson, William Parry

Publication date: 1978

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02385994

zbMATH Keywords

CocycleHarmonic AnalysisBorel SpaceHaar MeasureAperiodic MeansLebesgue SpectrumMeasure-Preserving TransformationSkew-Product TransformationUnitary Operator

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10)

Related Items (13)

Some non-trivial cocycles ⋮ The absolute continuous spectrum of skew products of compact Lie groups ⋮ Approximate helices of continuous iteration semigroups ⋮ Nonsingular \(\alpha \)-rigid maps ⋮ On the spectrum of \(\alpha \)-rigid maps ⋮ On spectra of unitary groups arising from cocycles ⋮ The mathematical research of William Parry FRS ⋮ On spectral disjointness of powers for rank-one transformations and Möbius orthogonality ⋮ On the self-similarity problem for smooth flows on orientable surfaces ⋮ Sections in function spaces ⋮ Approximate transitivity property and Lebesgue spectrum ⋮ Invariant subspaces with no generator and a problem of H. Helson ⋮ Unnamed Item

Cites Work

• DYNAMICAL SYSTEMS, FACTORS AND REPRESENTATIONS OF GROUPS
• APPROXIMATIONS IN ERGODIC THEORY
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