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Catalogue Information
Field name	Details
Dewey Class	515.42
Title	Measures with Symmetry Properties ([EBook] /) / by Werner Schindler.
Author	Schindler, Werner
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2003.
Physical Details	X, 174 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1808
ISBN	9783540362104
Summary Note	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 note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/b80163
Links to Related Works	Subject References: Lie groups . Mathematics . Measure and Integration . Measure theory . Numerical Analysis . Statistical Theory and Methods . Statistics . Topological groups . Topological groups, Lie groups . Authors: Schindler, Werner . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515.42 .

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Measures with Symmetry Properties

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