Measure Theory
This book was planned originally not as a work to be published, but as an excuse to buy a computer, incidentally to give me a chance to organize my own ideas ~n what measure theory every would-be analyst should learn, and to detail my approach to the subject. When it turned out that Springer-Verlag...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
1994, 1994
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| Edition: | 1st ed. 1994 |
| Series: | Graduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 0. Conventions and Notation
- I. Operations on Sets
- II. Classes of Subsets of a Space
- III. Set Functions
- IV. Measure Spaces
- V. Measurable Functions
- VI. Integration
- VII. Hilbert Space
- VIII. Convergence of Measure Sequences
- IX. Signed Measures
- X. Measures and Functions of Bounded Variation on R
- XI. Conditional Expectations ; Martingale Theory
- Notation