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Invariant, relatively invariant, and quasi-invariant measures

  • Ole E. Barndorff-Nielsen
  • Preben Blæsild
  • Poul Svante Eriksen
Part of the Lecture Notes in Statistics book series (LNS, volume 58)

Abstract

In this section we discuss existence and uniqueness of invariant, relatively invariant and quasi-invariant measures on a space χ with an acting group G. In particular, the left and right invariant measures on G itself are considered, and several basic formulas relating these are derived. Various disintegration formulas are also presented.

Keywords

Isotropic Group Invariant Measure Radon Measure Multiplicative Constant Bibliographical Note 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Ole E. Barndorff-Nielsen
    • 1
  • Preben Blæsild
    • 1
  • Poul Svante Eriksen
    • 2
  1. 1.Department of Theoretical Statistics Institute of MathematicsAarhus UniversityAarhusDenmark
  2. 2.Department of Mathematics and Computer Science Institute of Electronic SystemsAalborg University CenterAalborgDenmark

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