A Course on Integration Theory including more than 150 exercises with detailed answers /
This textbook provides a detailed treatment of abstract integration theory, construction of the Lebesgue measure via the Riesz-Markov Theorem and also via the Carathéodory Theorem. It also includes some elementary properties of Hausdorff measures as well as the basic properties of spaces of integrab...
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| Format: | Electronic Book |
| Language: | English |
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Basel :
Springer Basel : Imprint: Birkhäuser,
2014
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Table of Contents:
- 1 Introduction
- 2 General theory of integration
- 3 Construction of the Lebesgue measure on R d
- 4 Spaces of integrable functions
- 5 Integration on a product space
- 6 Diffeomorphisms of open subsets of R d and integration
- 7 Convolution
- 8 Complex measures
- 9 Harmonic analysis
- 10 Classical inequalities