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.
@article{bwmeta1.element.bwnjournal-article-apmv63z3p247bwm,
author = {Mi Zhou and George A. Anastassiou},
title = {Representation formulae for (C0) m-parameter operator semigroups},
journal = {Annales Polonici Mathematici},
volume = {63},
year = {1996},
pages = {247-272},
zbl = {0862.47019},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv63z3p247bwm}
}
Mi Zhou; George A. Anastassiou. Representation formulae for (C₀) m-parameter operator semigroups. Annales Polonici Mathematici, Tome 63 (1996) pp. 247-272. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv63z3p247bwm/
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