Measure and Integration

This book covers the material of a one year course in real analysis. It includes an original axiomatic approach to Lebesgue integration which the authors have found to be effective in the classroom. Each chapter contains numerous examples and an extensive problem set which expands considerably the b...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Bercovici, Hari (Autor), Brown, Arlen (Autor), Pearcy, Carl (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Temas:
Measure theory.
Functions of real variables.
Measure and Integration.
Real Functions.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Rings of sets
  • Measurability
  • Integrals and Measures
  • Convergence Theorems for Lebesgue Integrals
  • Existence and Uniqueness of Measures
  • Signed Measures, Complex Measures and Absolute Continuity
  • Measure and Topology
  • Product Measures
  • The Lp Spaces
  • Fourier Analysis
  • Standard Measure Spaces. .

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