Spectral distributions and generalization of Stone's theorem

DOI10.1007/BF00997121zbMath0802.47013MaRDI QIDQ1308771

Hassan Emamirad, Mikhael Balabane, Mustapha Jazar

Publication date: 15 December 1994

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

spectral measurespectral distributionfunctional calculusgeneralized scalar operatorsdistribution semigroupsStone's theoremdegree of the nilpotent operatorsmomentum of the spectral distributionscalar part

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (12)

Laplace transforms of polynomially bounded vector-valued functions and semigroups of operators ⋮ Integrated groups and smooth distribution groups ⋮ Quasi-distribution semigroups and integrated semigroups ⋮ Regularized scalar operators ⋮ Regularized spectral distributions ⋮ Functional calculus for infinitesimal generators of holomorphic semigroups ⋮ Trace theorems for holomorphic semigroups and the second order Cauchy problem ⋮ Spectral Theorem for Unbounded Strongly Continuous Groups on a Hilbert Space ⋮ Fractional Powers of Momentum of a Spectral Distribution ⋮ Spectral decomposition and Gelfand's theorem ⋮ One-parameter groups of regular quasimultipliers ⋮ Spectral distributions and some Cauchy problems

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• A Theory of Unbounded Generalized Scalar Operators
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