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Phone: (407) 823-6284;   Fax: (407) 823-6253;   MAP  207 2006-2007 MATHEMATICS COLLOQUIUM SERIES 09/12/06 Colloquium Dr. Dragu Atanasiu University of Borås, Sweden A Bochner Type Theorem on Semigroups Abstract:  In this talk we discuss an integral representation of a positive definite function defined on a commutative involutive semigroup.