Measure and integral
Author(s)
Bibliographic Information
Measure and integral
(Graduate texts in mathematics, 116)
Springer-Verlag, c1988
- v. 1 : us
- v. 1 : gw
Available at / 108 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
v. 1 : U.S.KEL||2||4-188008188
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Research Institute for Economics & Business Administration (RIEB) Library , Kobe University図書
v. 1 : U.S.510-142-1s081000081541*
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Library, Institute of Developing Economies, Japan External Trade Organization図
v. 1 : U.ST||51||M41669486
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
v. 1DC19:515.4/K2872070074900
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General Library Yamaguchi University
v. 1 : U.S410.8/G701/1160087187986,
v. 1 : Germany410.8/G701/1160087187986, 410.8/G701/1160088013845 -
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Note
Bibliography: v. 1, p. 141-142
Includes index
Description and Table of Contents
Description
Table of Contents
- 0: Preliminaries.- Sets.- Functions.- Countability.- Orderings and Lattices.- Convergence in ?*.- Unordered Summability.- Hausdorff Maximal Principle.- 1: Pre-Measures.- Supplement: Contents.- Supplement: G Invariant Contents.- Supplement: Caratheodory Pre-Measures.- 2: Pre-Measure to Pre-Integral.- Supplement: Volume ?n
- The Iterated Integral.- Supplement: Pre-Integrals on Cc(X) and C0(X).- 3: Pre-Integral to Integral.- 4: Integral to Measure.- Supplement: Lebesgue Measure ?n for ?n.- Supplement: Measures on B?(X).- Supplement: G Invariant Measures.- 5: Measurability and ?-Simplicity.- Supplement: Standard Borel Spaces.- 6: The Integral I? on L1(?).- Supplement: Borel Measures and Positive Functionals.- 7: Integrals* and Products.- Supplement: Borel Product Measure.- 8: Measures* and Mappings.- Supplement: Stieltjes Integration.- Supplement: The Image of ?p Under a Smooth Map 100 Supplement: Maps of Borel Measures*
- Convolution.- 9: Signed Measures and Indefinite Integrals.- Supplement: Decomposable Measures.- Supplement: Haar Measure.- 10: Banach Spaces.- Supplement: The Spaces C0(X)* and L1(?)*.- Supplement: Complex Integral and Complex Measure.- Supplement: The Bochner Integral.- Selected References.
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