On the functional-calculus of non-quasianalytic groups of operators and cosine functions

DOI10.1007/BF02844042zbMath0656.47032MaRDI QIDQ1110069

Erich Marschall

Publication date: 1986

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

Fourier transformsfunctional calculusspectral mapping theoremstrongly continuous one-parameter groups and cosine functions of bounded linear operators on a Banach space

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Groups and semigroups of linear operators (47D03)

Related Items (4)

Remarks on normal operators on Banach spaces ⋮ Integrated groups and smooth distribution groups ⋮ A spectral mapping theorem for local multipliers ⋮ Semigroups of operators, cosine operator functions, and linear differential equations

Cites Work

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• Harmonic analysis based on certain commutative Banach algebras
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• Funktionalkalküle für abgeschlossene lineare Operatoren in Banachräumen
• On groups of automorphisms of operator algebras
• A functional calculus for Hermitian elements of complex Banach algebras
• Remarks on the perturbation and a topology for operators
• An Approximation Theorem for a Class of Operators
• On the Operational Calculus for Groups of Operators

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