Multi-parameter local semi-groups of Hermetian operators

DOI10.1016/0022-1236(82)90067-2zbMath0533.47036OpenAlexW1970608926MaRDI QIDQ789704

A. Edward Nussbaum

Publication date: 1982

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90067-2

zbMATH Keywords

spectral measuresymmetric operatorsHermitian local semi-group on a Hilbert spaceintegral representation of exponentially convex functionsjoint spectral representationmulti-parameter local semi-groups of Hermetian operatorsoperator valued function

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Groups and semigroups of linear operators (47D03)

Related Items (6)

Analytic continuation of local representations of symmetric spaces ⋮ Local semigroups of contractions and some applications to Fourier representation theorems ⋮ Spectral representation of local symmetric semigroups of operators ⋮ Standardness of \({}^*\)-representations of the algebra of smooth finite functions ⋮ Unitary extensions of two-parameter local semigroups of isometric operators and the Krein extension theorem ⋮ Extensions and generalizations of a theorem of Widder and of the theory of symmetric local semigroups

Cites Work

• The representation of functions as Laplace-Stieltjes integrals
• Construction of a unique self-adjoint generator for a symmetric local semigroup
• Radial exponentially convex functions
• On the Regularity of Generalized Convex Functions
• Spectral Representations of Certain One-Parametric Families of Symmetric Operators in Hilbert Space
• A Note on Semi-Groups of Unbounded Self-Adjoint Operators

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