A functional calculus for analytic generators of \(C_0\)-groups

DOI10.1007/BF01213928zbMath0957.47014MaRDI QIDQ1566823

Marc Uiterdijk

Publication date: 8 March 2001

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Fourier transformMellin transformWeyl calculussectorial operatorintegral formulafunctional calculusSchur multiplierFourier multiplier\(C_0\)-groupslinear evolution equationDore-Venni theorem

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional calculus for linear operators (47A60) Groups and semigroups of linear operators (47D03)

Related Items (4)

Operational calculus and integral transforms for groups with finite propagation speed ⋮ \(H ^{\infty }\)-functional calculus and models of Nagy-Foiaş type for sectorial operators ⋮ Fractional glassy relaxation and convolution modules of distributions ⋮ One-parameter groups of regular quasimultipliers

Cites Work

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• A note on the functional calculus for sectorial operators
• On operators with bounded imaginary powers in Banach spaces
• Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
• Analytic generators for one-parameter groups
• On the closedness of the sum of two closed operators
• A New Approach to the Dore -Venni Theorem
• Fractional powers of operators

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