Werner Schindler
Springer Berlin Heidelberg
2003e druk, 2002
9783540002352
Measures with Symmetry Properties
Specificaties
Paperback, 174 blz.
|
Engels
Springer Berlin Heidelberg |
2003e druk, 2002
ISBN13: 9783540002352
Rubricering
Onderdeel van serie
Lecture Notes in Mathematics
Levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9783540002352
Taal:Engels
Bindwijze:paperback
Aantal pagina's:174
Uitgever:Springer Berlin Heidelberg
Druk:2003
Inhoudsopgave
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.