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Measure and Integration: Publications 1997 - 2011

Publisher: 
Birkhäuser
Number of Pages: 
500
Price: 
129.00
ISBN: 
9783034803816
Date Received: 
Monday, July 30, 2012
Reviewable: 
No
Include In BLL Rating: 
No
Reviewer Email Address: 
Heinz König
Publication Date: 
2012
Format: 
Hardcover
Category: 
Collection

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.​ 

Publish Book: 
Modify Date: 
Monday, July 30, 2012

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