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© 2003

Measures with Symmetry Properties

  • Authors
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 1808)

Table of contents

  1. Front Matter
    Pages I-IX
  2. Werner Schindler
    Pages 1-9
  3. Werner Schindler
    Pages 11-54
  4. Werner Schindler
    Pages 55-62
  5. Werner Schindler
    Pages 63-153
  6. Werner Schindler
    Pages 155-158
  7. Werner Schindler
    Pages 159-167
  8. Back Matter
    Pages 168-170

About this book

Introduction

Symmetries and invariance principles play an important role in various branches of mathematics. This book deals with measures having weak symmetry properties. Even mild conditions ensure that all invariant Borel measures on a second countable locally compact space can be expressed as images of specific product measures under a fixed mapping. The results derived in this book are interesting for their own and, moreover, a number of carefully investigated examples underline and illustrate their usefulness and applicability for integration problems, stochastic simulations and statistical applications.

Keywords

Measure and integration theory STATISTICA invariant measures stochastic simulations sufficient statistics

Bibliographic information

Reviews

From the reviews:

"This book treats measures which are invariant under group actions … . great care is given to make the book easily accessible to readers from a great variety of different backgrounds in keeping the mathematical prerequisites to a minimum and by making the exposition essentially self-contained. For a better understanding basic definitions and theorems are always illustrated by simple examples familiar from calculus." (Werner Strauß, Zentralblatt MATH, Vol. 1065, 2005)