Measure theory
著者
書誌事項
Measure theory
（Graduate texts in mathematics, 18）
Springer Science+Business Media, [2014?], c1950
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注記
Includes bibliographical references and index
"Originally published by Springer-Verlag New York Inc in 1974, Softcover reprint of the hardcover 1st edition 1974"--T.p. verso
内容説明・目次
内容説明
Useful as a text for students and a reference for the more advanced mathematician, this book presents a unified treatment of that part of measure theory most useful for its application in modern analysis. Coverage includes sets and classes, measures and outer measures, Haar measure and measure and topology in groups.
From the reviews: "Will serve the interested student to find his way to active and creative work in the field of Hilbert space theory." --MATHEMATICAL REVIEWS
目次
- Preface
- 0. Prerequisites
- 1. Sets and Classes
- 2. Measures and Outer Measures
- 3. Extension of Measures
- 4. Measurable Functions
- 5. Integration
- 6. General Set Functions
- 7. Product Spaces
- 8. Transformations and Functions
- 9. Probability
- 10. Locally Compact Spaces
- 11. Haar Measure
- 12. Measure and Topology in Groups
- References
- Bibliography
- List of Frequently Used Symbols
- Index.
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