Representation formulae for (C₀) m-parameter operator semigroups
Tom 63 / 1996
Annales Polonici Mathematici 63 (1996), 247-272 DOI: 10.4064/ap-63-3-247-272
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.