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  • Book
  • © 2003

Measures with Symmetry Properties

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1808)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-IX
  2. 1. Introduction

    • Werner Schindler
    Pages 1-9
  3. 2. Main Theorems

    • Werner Schindler
    Pages 11-54
  4. 3. Significance, Applicability and Advantages

    • Werner Schindler
    Pages 55-62
  5. 4. Applications

    • Werner Schindler
    Pages 63-153
  6. References

    • Werner Schindler
    Pages 155-158
  7. Glossary and Index

    • Werner Schindler
    Pages 159-167
  8. Back Matter

    Pages 168-170

About this book

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.

Keywords

  • Measure and integration theory
  • STATISTICA
  • invariant measures
  • stochastic simulations
  • sufficient statistics

Reviews

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)

Bibliographic Information

Buying options

eBook USD 34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions