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...

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সংরক্ষণ করুন:
গ্রন্থ-পঞ্জীর বিবরন
প্রধান লেখক: König, Heinz, 1929-
বিন্যাস: Livre numérique
ভাষা:Anglais
প্রকাশিত: Basel : Springer Basel [20..].
Cham : Springer Nature
সংস্করন:1st ed. 2012.
অনলাইন ব্যবহার করুন:Accès sur la plateforme de l'éditeur
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Accès Université d'Orléans
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টীকা: 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
বিবরন
সংক্ষিপ্ত: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 here in one single volume.Key features include:- A first-time, original and entirely uniform treatment of abstract and topological measure theory- The introduction of the inner and outer premeasures and their extension to unique maximal measures- A simplification of the procedure formerly described in Chapter II of the author s previous book - The creation of new envelopes for the initial set function (to replace the traditional Carathéodory outer measures), which lead to much simpler and more explicit treatment- The formation of products, a unified Daniell-Stone-Riesz representation theorem, and projective limits, which allows to obtain the Kolmogorov type projective limit theorem for even huge domains far beyond the countably determined ones- The incorporation of non-sequential and of inner regular versions, which leads to much more comprehensive results- Significant applications to stochastic processes. Measure and Integration: Publications 1997 2011 will appeal to both researchers and advanced graduate students in the fields of measure and integration and probabilistic measure theory
উপাদানের বিবরণ:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
আইসবিএন:9783034803823
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