ArticleOriginal scientific text
Title
Representation formulae for (C₀) m-parameter operator semigroups
Authors 1, 1
Affiliations
- Department of Mathematical Sciences, The University of Memphis, Memphis, Tennessee 38152, U.S.A.
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.
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
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Pages:
247-272
Main language of publication
English
Received
1994-09-26
Accepted
1995-05-28
Published
1996
Exact and natural sciences