Measures with Symmetry Properties
Edition: 1 edition
Publisher: Springer
Published: February 12, 2003
Language: eng
Format: Paperback
Number of pages: 167
ISBN-13: 9783540002352
Subjects: Applied mathematics; Calculus & mathematical analysis; Set Theory; Measure Theory; Probabilities; Mathematics; Science/Mathematics; Probability measures; Calculus; General; Mathematical Analysis; Mathematics / Calculus; Mathematics / Mathematical Analysis; Mathematics-Mathematical Analysis; Measure and integration theory; Medical-General; invariant measures; Set functions; Probability & Statistics - General
First sentence: Symmetries and invariance principles play an important role in various branches in mathematics.
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.
Notes: Lecture Notes in Mathematics