Some saturation properties of the representation formulae for \((C_ 0)\) \(m\)-parameter operator semigroups

DOI10.1016/0898-1221(95)00103-4zbMath0844.47022OpenAlexW2028796389MaRDI QIDQ1904180

George A. Anastassiou, Mi Zhou

Publication date: 9 September 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00103-4

zbMATH Keywords

multivariate approximationprobabilistic approachrepresentation formulaemultiparameter semigroupssaturation ordertrivial class\((C_ 0)\) \(m\)-parameter operator semigroups

Mathematics Subject Classification ID

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

Related Items (1)

An estimate on the convergence of MKZ-Bézier operators

Cites Work

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• Probabilistic representations of operator semigroups. A unifying approach
• Approximation-theoretic aspects of probabilistic representations for operator semigroups
• A saturation property concerning a general probabilistic representation of operator semigroups
• Approximation of unbounded functions and applications to representations of semigroups
• On the Exponential Formulas of Semi-Group Theory.
• Asymptotic expansions of the representation formulae for (C₀) m-parameter operator semigroups¹.²
• Representation formulae for (C₀) m-parameter operator semigroups

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