Regularity

  • Michel Simonnet
Part of the Universitext book series (UTX)

Summary

8.1 A measure defined on a semiring Φ is said to be strictly regular if its main prolongation is a prolongation of a Radon measure. If each open subset of Ω is a countable union of compact sets, if Φ̃ is the Borel σ-algebra, and if each compact set is μ-integrable, then μ is strictly regular (Theorem 8.1.2).

Keywords

Radon 

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Copyright information

© Springer-Verlag New York, Inc. 1996

Authors and Affiliations

  • Michel Simonnet
    • 1
  1. 1.Department of MathematicsUniversity of DakarSenegal

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