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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Makarov, Boris (Autor), Podkorytov, Anatolii (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Springer London : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Colección:Universitext,
Temas:
Measure theory.
Fourier analysis.
Functions of real variables.
Geometry.
Measure and Integration.
Fourier Analysis.
Real Functions.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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