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 he...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2012. |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Measure and integration, publications, 1997-2011, by Heinz König, 2012, Basel, Springer, 1 vol. (508 p.), 978-3-03-480381-6 |
Table des matières:
- 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.