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Status:
Available4.5
16 reviews
ISBN-10 : 0521850150
ISBN-13 : 978-0521850155
Author: RENE L. SCHILLING
1 - Prologuepp 1-4
2 - The pleasures of countingpp 5-14
3 - σ-algebraspp 15-21
4 - Measurespp 22-30
5 - Uniqueness of measurespp 31-36
6 - Existence of measurespp 37-48
7 - Measurable mappingspp 49-56
8 - Measurable functionspp 57-66
9 - Integration of positive functionspp 67-75
10 - Integrals of measurable functions and null setspp 76-87
11 - Convergence theorems and their applicationspp 88-104
12 - The function spaces Lp, 1 ≤ p ≤ ∞pp 105-119
13 - Product measures and Fubini's theorempp 120-133
14 - Integrals with respect to image measurespp 134-141
15 - Integrals of images and Jacobi's transformation rulepp 142-162
16 - Uniform integrability and Vitali's convergence theorempp 163-175
17 - Martingalespp 176-189
18 - Martingale convergence theoremspp 190-201
19 - The Radon–Nikodým theorem and other applications of martingalespp 202-225
20 - Inner product spacespp 226-233
21 - Hilbert space hpp 234-247
22 - Conditional expectations in L2pp 248-257
23 - Conditional expectations in Lppp 258-275
24 - Orthonormal systems and their convergence behaviour
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Tags: MEASURES, INTEGRALS, MARTINGALES, RENE SCHILLING
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