Measure and Integral

The Lebesgue integral is an essential tool in the fields of analysis and stochastics and for this reason, in many areas where mathematics is applied. This textbook is a concise, lecture-tested introduction to measure and integration theory. It addresses the important topics of this theory and presen...

Description complète

Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Brokate, Martin (Auteur), Kersting, Götz (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
Édition:1st ed. 2015.
Collection:Compact Textbooks in Mathematics,
Sujets:
Measure theory.
Measure and Integration.
Accès en ligne:Texto Completo
Table des matières:
  • Preface
  • 1 Introduction
  • 2 Measurability
  • 3 Measures
  • 4 The Integral of Nonnegative Functions
  • 5 Integrable Functions
  • 6 Convergence
  • 7 Uniqueness and Regularity of Measures
  • 8 Multiple Integrals and Product Measures
  • 9 Absolute Continuity
  • 10 The Transformation Formula of Jacobi
  • 11 Construction of Measures
  • 12 Hilbert Spaces
  • 13 Banach Spaces
  • Literature.

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