Real Analysis: Measures, Integrals and Applications

Real Analysis: Measures, Integrals and Applications is devoted to the basics of integration theory and its related topics. The main emphasis is made on the properties of the Lebesgue integral and various applications both classical and those rarely covered in literature.   This book provides a detai...

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Bibliographic Details
Main Authors: Makarov, Boris, Podkorytov, Anatolii (Author)
Format: eBook
Language:English
Published: London Springer London 2013, 2013
Edition:1st ed. 2013
Series:Universitext
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Measure
  • The Lebesgue Model
  • Measurable Functions
  • The Integral
  • The Product Measure
  • Change of Variables in an Integral
  • Integrals Dependent on a Parameter
  • Surface Integrals
  • Approximation and Convolution of the Space
  • Fourier Series and the Fourier Transform
  • Charges. The Radon-Nikodym Theory
  • Integral Representation of Linear Functionals
  • Appendices