TY  - BOOK
AU  - Schindler,Werner
ED  - SpringerLink (Online service)
TI  - Measures with Symmetry Properties
T2  - Lecture Notes in Mathematics,
SN  - 9783540362104
AV  - QA312-312.5 
U1  - 515.42 23
PY  - 2003///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Topological Groups
KW  - Numerical analysis
KW  - Mathematical statistics
KW  - Measure and Integration
KW  - Topological Groups, Lie Groups
KW  - Numerical Analysis
KW  - Statistical Theory and Methods
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/b80163
ER  -