Measures with symmetry properties
Author(s)
Bibliographic Information
Measures with symmetry properties
(Lecture notes in mathematics, 1808)
Springer, c2003
- : pbk
Available at / 69 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: pbkL/N||LNM||180878800556
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Hiroshima University Central Library, Interlibrary Loan
: pbk410.8:L-49:1808/HL4010004030401827
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: pbkDC21:515.42/SCH342070578135
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Note
Bibliography: p. [155]-158
Includes index
Description and Table of Contents
Description
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.
Table of 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.
by "Nielsen BookData"