Geodesic
Representation formulae for (C₀) m-parameter operator semigroups
Annales Polonici Mathematici, Tome 63 (1996) no. 3, pp. 247-272 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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

1 
@article{10_4064_ap_63_3_247_272,
     author = {Mi Zhou and George Anastassiou},
     title = {Representation formulae for {(C₀)} m-parameter operator semigroups},
     journal = {Annales Polonici Mathematici},
     pages = {247--272},
     year = {1996},
     volume = {63},
     number = {3},
     doi = {10.4064/ap-63-3-247-272},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-63-3-247-272/}
}
TY  - JOUR
AU  - Mi Zhou
AU  - George Anastassiou
TI  - Representation formulae for (C₀) m-parameter operator semigroups
JO  - Annales Polonici Mathematici
PY  - 1996
SP  - 247
EP  - 272
VL  - 63
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-63-3-247-272/
DO  - 10.4064/ap-63-3-247-272
LA  - en
ID  - 10_4064_ap_63_3_247_272
ER  - 
%0 Journal Article
%A Mi Zhou
%A George Anastassiou
%T Representation formulae for (C₀) m-parameter operator semigroups
%J Annales Polonici Mathematici
%D 1996
%P 247-272
%V 63
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-63-3-247-272/
%R 10.4064/ap-63-3-247-272
%G en
%F 10_4064_ap_63_3_247_272
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

Cité par Sources :