Spectral families of projections in Hardy spaces

DOI10.1016/0022-1236(85)90049-7zbMath0554.47021OpenAlexW2018845154MaRDI QIDQ759984

Earl Berkson

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90049-7

zbMATH Keywords

Paley-Wiener theoremspectral decompositionForelli's theoremtranslation groupspectral familyparabolic Möbius transformationsprojection-valued functionreflexive Hardy spacesStone's theorem for unitary groupsStrongly continuous one-parameter groups of isometries

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Banach spaces of continuous, differentiable or analytic functions (46E15) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items

Logarithms of isometries and their spectral decompositions in Hardy spaces, Spectral Decompositions of One-Parameter Groups of Isometries on Hardy Spaces, Spectral decompositions of hyperbolic isometric groups in Hardy spaces of the disk, Operator ergodic theory for one-parameter decomposable groups, On spectral families of projections in Hardy spaces, The existence of spectral decompositions in \(L^ p\)-subspaces, Stone's theorem for strongly continuous groups of isometries in Hardy spaces

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