Stone's theorem for strongly continuous groups of isometries in Hardy spaces

DOI10.1016/0022-1236(86)90037-6zbMath0589.47047OpenAlexW2020443928MaRDI QIDQ1074095

Werner J. Ricker

Publication date: 1986

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90037-6

zbMATH Keywords

Fourier-Stieltjes transformspaceStone theoremparabolic groupswell-bounded operatorselliptic typestrongly continuous, 1-parameter group of isometries in the Hardystrongly continuous, 1-parameter group of isometries in the Hardy space

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Cites Work

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• Spectral families of projections in Hardy spaces
• On spectral families of projections in Hardy spaces
• A Spectral Theorem for L^p Translations
• Spectral Families of Projections, Semigroups, and Differential Operators
• Hermitian Operators and One-Parameter Groups of Isometries in Hardy Spaces
• Mobius Transformations of the Disc and One-Parameter Groups of Isometries of H p
• The Isometries of H^p

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