Geodesic
Representation formulae for (C₀) m-parameter operator semigroups
Annales Polonici Mathematici, Tome 63 (1996) no. 3, pp. 247-272.

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Some general representation formulae for (C₀) m-parameter operator semigroups with rates of convergence are obtained by the probabilistic approach and multiplier enlargement method. These cover all known representation formulae for (C₀) one- and m-parameter operator semigroups as special cases. When we consider special semigroups we recover well-known convergence theorems for multivariate approximation operators.
DOI : 10.4064/ap-63-3-247-272
Keywords: multi-parameter operator semigroups, representation formulae, multivariate approximation, sum of random vectors, Banach space, multiplier enlargement method, rate of convergence, second modulus of continuity, inequalities

Mi Zhou 1 ; George Anastassiou 1

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Mi Zhou; George Anastassiou. Representation formulae for (C₀) m-parameter operator semigroups. Annales Polonici Mathematici, Tome 63 (1996) no. 3, pp. 247-272. doi : 10.4064/ap-63-3-247-272. http://geodesic.mathdoc.fr/articles/10.4064/ap-63-3-247-272/

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