Positive and Negative Definite Functions on Abelian Semigroups Without Zero

  • Christian Berg
  • Jens Peter Reus Christensen
  • Paul Ressel
Part of the Graduate Texts in Mathematics book series (GTM, volume 100)

Abstract

The integral representation theorems for positive and negative definite functions obtained so far were all proved under the assumption that the semigroup contained a neutral element, i.e. a “zero” with respect to the additively written semigroup operation. We also saw that some boundedness conditions were necessary for the functions under consideration in order to prove the main representation results.

Keywords

Radon 

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Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • Christian Berg
    • 1
  • Jens Peter Reus Christensen
    • 1
  • Paul Ressel
    • 2
  1. 1.Matematisk InstitutKøbenhavns UniversitetKøbenhavn ∅Denmark
  2. 2.Mathematisch-Geographische FakultätKatholische Universität EichstättEichstättGermany

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