On Prohorov’s Criterion for Projective Limits

  • Erik G. F. Thomas
Part of the Operator Theory: Advances and Applications book series (OT, volume 168)


We propose a modification of Prohorov’s theorem on projective limits of Radon measures which can be directly applied to the construction of Wiener measure on the space of continuous functions, and we give such a construction.


Compact Subset Radon Measure Projective Limit Compatible System Wiener Measure 
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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2006

Authors and Affiliations

  • Erik G. F. Thomas
    • 1
  1. 1.Department of MathematicsUniversity of GroningenGroningenThe Netherlands

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