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 integra...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Lerner, Nicolas (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Basel : Springer Basel : Imprint: Birkhäuser, 2014.
Edition:1st ed. 2014.
Subjects:
Functions of real variables.
Measure theory.
Real Functions.
Measure and Integration.
Online Access:Texto Completo
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.

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