Measure and integration / Hari Bercovici, Arlen Brown and Carl Pearcy.
Material type:
TextPublication details: Cham : Springer, 2016.Description: xi, 300 pages ; 24 cmISBN: - 9783319290447
- 515.42 23 B486
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.42 B486 (Browse shelf(Opens below)) | Available | 137772 |
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| 515.42 B424 Ergodic theory and topological dynamics of group actions on homogeneous spaces | 515.42 B448 Measure theory | 515.42 B484 Measure and integration | 515.42 B486 Measure and integration / | 515.42 B583 Integration theory | 515.42 B674 Measure theory | 515.42 B674 Measure theory |
Includes indexes.
1. Rings of sets --
2. Measurability --
3. Integrals and Measures --
4. Convergence Theorems for Lebesgue Integrals --
5. Existence and Uniqueness of Measures --
6. Signed Measures, Complex Measures and Absolute Continuity --
7. Measure and Topology --
8. Product Measures --
9. The Lp Spaces --
10. Fourier Analysis --
11. Standard Measure Spaces.
This book covers the material of a one year course in real analysis. It includes an original axiomatic approach to Lebesgue integration which the authors have found to be effective in the classroom. Each chapter contains numerous examples and an extensive problem set which expands considerably the breadth of the material covered in the text. Hints are included for some of the more difficult problems.
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