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Measures with Symmetry Properties (Lecture Notes in Mathematics)
 
 
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Measures with Symmetry Properties (Lecture Notes in Mathematics) [Paperback]

Werner Schindler (Author)

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Book Description

February 12, 2003 3540002359 978-3540002352 1
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.

Editorial Reviews

Review

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)

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Inside This Book (learn more)
First Sentence:
Symmetries and invariance principles play an important role in various branches in mathematics. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
pseudorandom matrix, pseudorandom matrices, pseudorandom elements, standard random numbers, pseudorandom vectors, topological base, second countable, measurable section, admissible hypotheses, concrete computations, symmetry concept, induced topology, transformation theorem, isotropy group, left multiplication, spectral norm, simulation problems, random rotations
Key Phrases - Capitalized Phrases (CAPs): (learn more)
G-invariant Borel, Theorem of Fubini, Iwasawa's Theorem
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