Coboundaries and Homomorphisms for Non-Singular Actions and a Problem of H. Helson

DOI10.1112/plms/s3-40.3.443zbMath0428.28014OpenAlexW1999254158MaRDI QIDQ3864748

Calvin C. Moore, Klaus Schmidt

Publication date: 1980

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-40.3.443

zbMATH Keywords

topology of convergence in measurecohomologylocally compact groupsmeasure-preservingcoboundariesfull measureKronecker measurenon-singular actionsone- cocycle

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory on groups (22D40) General groups of measure-preserving transformations (28D15) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) General properties and structure of locally compact groups (22D05) Analysis on ordered groups, (H^p)-theory (43A17) Group- or semigroup-valued set functions, measures and integrals (28B10)

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