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 are collected h...
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| Format: | eBook |
| Language: | English |
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Basel
Springer Basel
2012, 2012
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| Edition: | 1st ed. 2012 |
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| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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 m