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Measures and probabilities

Author: Michel Simonnet
Publisher: New York : Springer, ©1996.
Series: Universitext
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

An introduction to measure theory, this volume provides reference for the practicing mathematician. At the end of each chapter excercises are included to present additional material and examples.

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Details

Document Type: Book
All Authors / Contributors: Michel Simonnet
ISBN: 0387946446 9780387946443
OCLC Number: 33664851
Notes: Includes indexes.
Description: xiii, 510 pages ; 24 cm.
Contents: 1. Riesz Spaces --
2. Measures on Semirings --
3. Integrable and Measurable Functions --
4. Lebesgue Measure on R --
5. L[superscript p] Spaces --
6. Integrable Functions for Measures on Semirings --
7. Radon Measures --
8. Regularity --
9. Induced Measures and Product Measures --
10. Radon-Nikodym Derivatives --
11. Images of Measures --
12. Change of Variables --
13. Stieltjes Integral --
14. The Fourier Transform in R[superscript k] --
15. The Strong Law of Large Numbers --
16. The Central Limit Theorem --
17. Order Statistics --
18. Conditional Probability --
19. [mu]-Adequate Family of Measures --
20. Radon Measures Defined by Densities --
21. Images of Radon Measures and Product Measures --
22. Operations on Regular Measures --
23. Haar Measures --
24. Convolution of Measures.
Series Title: Universitext
Responsibility: Michel Simonnet ; foreword by Charles-Michel Marle.
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