Introduction to Measure Theory and Integration

This textbook collects the notes for an introductory course in measure theory and integration. The course was taught by the authors to undergraduate students of the Scuola Normale Superiore, in the years 2000-2011. The goal of the course was to present, in a quick but rigorous way, the modern point...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ambrosio, Luigi (Autor), Da Prato, Giuseppe (Autor), Mennucci, Andrea (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2011.
Edición:1st ed. 2011.
Colección:Lecture Notes (Scuola Normale Superiore), 10
Temas:
Measure theory.
Measure and Integration.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Measure spaces
  • Integration
  • Spaces of measurable functions
  • Hilbert spaces
  • Fourier series
  • Operations on measures
  • The fundamental theorem of integral calculus
  • Operations on measures
  • Appendix: Riesz representation theorem of the dual of C(K) and integrals depending on a parameter
  • Solutions to the exercises.

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