Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1808)
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Table of contents (6 chapters)
Keywords
About this book
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.
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)
Bibliographic Information
Book Title: Measures with Symmetry Properties
Authors: Werner Schindler
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/b80163
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2003
Softcover ISBN: 978-3-540-00235-2Published: 12 December 2002
eBook ISBN: 978-3-540-36210-4Published: 01 January 2003
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 174
Topics: Measure and Integration, Topological Groups, Lie Groups, Numerical Analysis, Statistical Theory and Methods