Measure and Integration Publications 1997-2011 /

This volume presents a collection of twenty-five of Heinz König's recent and most influential works. Connecting to his book of 1997 "Measure and Integration", the author has developed a consistent new version of measure theory over the past years. For the first time, his publications...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: König, Heinz (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Basel : Springer Basel : Imprint: Birkhäuser, 2012.
Edition:1st ed. 2012.
Subjects:
Measure theory.
Measure and Integration.
Online Access:Texto Completo
Table of Contents:
  • Image measures and the so-called image measure catastrophe
  • The product theory for inner premeasures
  • Measure and Integration: Mutual generation of outer and inner premeasures
  • Measure and Integration: Integral representations of isotone functionals
  • Measure and Integration: Comparison of old and new procedures
  • What are signed contents and measures?- Upper envelopes of inner premeasures
  • On the inner Daniell-Stone and Riesz representation theorems
  • Sublinear functionals and conical measures
  • Measure and Integration: An attempt at unified systematization
  • New facts around the Choquet integral
  • The (sub/super)additivity assertion of Choquet
  • Projective limits via inner premeasures and the trueWiener measure
  • Stochastic processes in terms of inner premeasures
  • New versions of the Radon-Nikodým theorem
  • The Lebesgue decomposition theorem for arbitrary contents
  • The new maximal measures for stochastic processes
  • Stochastic processes on the basis of new measure theory
  • New versions of the Daniell-Stone-Riesz representation theorem
  • Measure and Integral: New foundations after one hundred years
  • Fubini-Tonelli theorems on the basis of inner and outer premeasures
  • Measure and Integration: Characterization of the new maximal contents and measures
  • Notes on the projective limit theorem of Kolmogorov
  • Measure and Integration: The basic extension theorems
  • Measure Theory: Transplantation theorems for inner premeasures. .

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