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Representations and positive definite functions on topological semigroups

Published online by Cambridge University Press:  18 May 2009

J. W. Baker
Affiliation:
Department of Pure Mathematics, The University, Sheffield S3 7RH, England, U.K.
M. Lashkarizadeh-Bami
Affiliation:
Department of Mathematics, University of Isfahan, Isfahan, Iran
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Abstract

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A number of theorems are established about positive definite functions and representations of certain topological semigroups. In particular we establish theorems which show that measurable positive definite functions and measurable representations can each be decomposed into the sum of two parts one of which is continuous and the other of which is “small”.

Information

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1996