Measures with Symmetry Properties

• Main Author: Schindler, Werner (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Edition: 1st ed. 2003.
• Series: Lecture Notes in Mathematics, 1808
• Subjects: Measure theory.; Topological groups.; Lie groups.; Numerical analysis.; Statistics .; Measure and Integration.; Topological Groups, Lie Groups.; Numerical Analysis.; Statistical Theory and Methods.
• Physical Description: X, 174 p. online resource.
• ISBN: 9783540362104
• ISSN: 0075-8434 ;
• DOI: 10.1007/b80163

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.