Measures with Symmetry Properties

Download or read book Measures with Symmetry Properties written by Werner Schindler and published by Springer Science & Business Media. This book was released on 2003-02-12 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.