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

Manifold Radon 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations