Measure and Integration: Publications 1997-2011

By Heinz König

Book Overview

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-Nikod?m 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.​

• Format: Paperback
• Language: English
• ISBN: 3034807554
• ISBN13: 9783034807555
• Release Date: July 2014
• Publisher: Birkhauser
• Length: 508 Pages
• Weight: 1.61 lbs.
• Dimensions: 1.1" x 6.1" x 9.2"