A note on probabilistic representations of operator semigroups

DOI10.1007/BF02572493zbMath0529.60002OpenAlexW1978851836MaRDI QIDQ787568

Dietmar Pfeifer

Publication date: 1984

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134659

zbMATH Keywords

generating functionsoperator semigroupsprobabilistic representationsstrongly continuous

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Characteristic functions; other transforms (60E10) Groups and semigroups of linear operators (47D03) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (6)

Semigroup structural form for Bernstein-type operators and its applications ⋮ A probabilistic variant of Chernoff's product formula ⋮ A general approach to approximation theory of operator semigroups ⋮ Probabilistic representations of operator semigroups. A unifying approach ⋮ A semigroup setting for distance measures in connexion with Poisson approximation ⋮ Approximation-theoretic aspects of probabilistic representations for operator semigroups

Cites Work

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• Approximation of unbounded functions and applications to representations of semigroups
• A probabilistic approach to representation formulae for semigroups of operators with rates of convergence
• On the Exponential Formulas of Semi-Group Theory.
• Bernstein polynomials and semigroups of operators

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