Representation formulae for (C₀) m-parameter operator semigroups
Mi Zhou; George A. Anastassiou
Annales Polonici Mathematici (1996)
- Volume: 63, Issue: 3, page 247-272
- ISSN: 0066-2216
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topMi Zhou, and George A. Anastassiou. "Representation formulae for (C₀) m-parameter operator semigroups." Annales Polonici Mathematici 63.3 (1996): 247-272. <http://eudml.org/doc/262824>.
@article{MiZhou1996,
abstract = {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.},
author = {Mi Zhou, George A. Anastassiou},
journal = {Annales Polonici Mathematici},
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; -parameter operator semigroups; probabilistic approach},
language = {eng},
number = {3},
pages = {247-272},
title = {Representation formulae for (C₀) m-parameter operator semigroups},
url = {http://eudml.org/doc/262824},
volume = {63},
year = {1996},
}
TY - JOUR
AU - Mi Zhou
AU - George A. Anastassiou
TI - Representation formulae for (C₀) m-parameter operator semigroups
JO - Annales Polonici Mathematici
PY - 1996
VL - 63
IS - 3
SP - 247
EP - 272
AB - 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.
LA - eng
KW - 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; -parameter operator semigroups; probabilistic approach
UR - http://eudml.org/doc/262824
ER -
References
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