Measures with Symmetry Properties / by Werner Schindler.

Format:

Book

Author/Creator:

Schindler, Werner, 1963- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1808.

Lecture Notes in Mathematics, 0075-8434 ; 1808

Language:

English

Subjects (All):

Mathematics.

Topological groups.

Numerical analysis.

Mathematical statistics.

Measure and Integration.

Topological Groups, Lie Groups.

Numerical Analysis.

Statistical Theory and Methods.

Local Subjects:

Measure and Integration.

Topological Groups, Lie Groups.

Numerical Analysis.

Statistical Theory and Methods.

Physical Description:

1 online resource (X, 174 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.

System Details:

text file PDF

Summary:

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.

Contents:

Introduction, Main Theorems: Definitions and Preparatory Lemmata; Definition of Property (*) and Its Implications (Main Theorems); Supplementary Expositions and an Alternate Existence Proof

Significance, Applicability and Advantages

Applications: Central Definitions, Theorems and Facts; Equidistribution on the Grassmannian Manifold and Chirotopes; Conjugation-invariant Probability Measures on Compact Connected Lie Groups; Conjugation-invariant Probability Measures on SO(n); Conjugation-invariant Probability Measures on SO(3); The Theorem of Iwasawa and Invariant Measures on Lie Groups; QR-Decomposition on GL(n); Polar Decomposition on GL(n); O(n)-invariant Borel Measures on Pos(n); Biinvariant Borel Measures on GL(n); Symmetries on Finite Spaces

References

Glossary

Index.

Other Format:

Printed edition:

ISBN:

9783540362104

Access Restriction:

Restricted for use by site license.