Representation of fractional powers of infinitesimal generators of cosine operator functions

DOI10.1007/BF03322490zbMath0562.47034OpenAlexW2041173100MaRDI QIDQ1056889

Ronald H. W. Hoppe

Publication date: 1984

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322490

zbMATH Keywords

interpolation spacescalculus of integral transformsequibounded \(C_ 0\)-cosine operator functionrepresentation of fractional powers

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Groups and semigroups of linear operators (47D03) Laplace transform (44A10) Representation theory of linear operators (47A67) Abstract interpolation of topological vector spaces (46M35)

Related Items (2)

Representation of complex powers of C-sectorial operators ⋮ Interpolation of cosine operator functions

Cites Work

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• Besov spaces and applications to difference methods for initial value problems
• Ordinary differential equations in linear topological spaces. I
• Ordinary differential equations in linear topological space. II
• An Operational Calculus for Infinitesimal Generators of Semigroups
• Discrete Approximations of Cosine Operator Functions. I
• Representation of fractional powers of infinitesimal generators of semigroups
• On operator-valued solutions of d'Alembert's functional equation, I

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