Measures with Symmetry Properties: 1808 (Lecture Notes in Mathematics) - Softcover

From the reviews:

"This book treats measures which are invariant under group actions ... . great care is given to make the book easily accessible to readers from a great variety of different backgrounds in keeping the mathematical prerequisites to a minimum and by making the exposition essentially self-contained. For a better understanding basic definitions and theorems are always illustrated by simple examples familiar from calculus." (Werner Strauß, Zentralblatt MATH, Vol. 1065, 2005)

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.