Measures with Symmetry Properties

Werner Schindler (auth.)3540002359, 9783540002352

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.

Table of contents :
1. Introduction….Pages 1-9
2. Main Theorems….Pages 11-54
3. Significance, Applicability and Advantages….Pages 55-62
4. Applications….Pages 63-153
References….Pages 155-158
Glossary and Index….Pages 159-167