Spectral decompositions of hyperbolic isometric groups in Hardy spaces of the disk

DOI10.1016/0022-247X(91)90310-VzbMath0783.47049MaRDI QIDQ1192531

Dimitri Karayannakis

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

spectral decompositionsHardy-class functionshyperbolic type groups of isometries on \(H^ p(D)\)hypergeometric-type functions

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of bounded analytic functions of one complex variable (30H05) Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Cites Work

• Spectral families of projections in Hardy spaces
• Logarithms of isometries and their spectral decompositions in Hardy spaces
• Abstract Spectral Decompositions Guaranteed by the Hilbert Transform
• Spectral Decompositions of One-Parameter Groups of Isometries on Hardy Spaces
• Spectral Families of Projections, Semigroups, and Differential Operators
• Mobius Transformations of the Disc and One-Parameter Groups of Isometries of H p
• The Isometries of H^p
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