Measures with Symmetry Properties

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.

subjects: Probability measures,  Measure theory,  Set functions,  Borel-Ma©,  Wahrscheinlichkeitsma©,  Kompakte Gruppe,  Fonctions d'ensemble,  Theorie de la Mesure,  Topologischer Raum,  Symmetrie,  Mesures de probabilites,  Integraalrekening,  Mathematics,  Topological Groups,  Numerical analysis,  Mathematical statistics