| 書(shū)目名稱(chēng) | Measure and Integration | | 副標(biāo)題 | Publications 1997-20 | | 編輯 | Heinz K?nig | | 視頻video | http://file.papertrans.cn/629/628055/628055.mp4 | | 概述 | Heinz K?nig’s recent and most influential works in one single volume.For the first time ever: Entirely uniform treatment of abstract and topological measure theory.New “envelopes” for the initial set | | 圖書(shū)封面 |  | | 描述 | This collection of Heinz K?nig’s publications connects to his book of 1997 “Measure and Integration” and presents significant developments in the subject from then up to the present day. The result is a consistent new version of measure theory, including selected applications. The basic step is the introduction of the inner ? (bullet) and outer ? (bullet) premeasures and their extension to unique maximal measures. New “envelopes” for the initial set function (to replace the traditional Carathéodory outer measures) have been created, which lead to much simpler and more explicit treatment. In view of these new concepts, the main results are unmatched in scope and plainness, as well as in explicitness. Important examples are the formation of products, a unified Daniell-Stone-Riesz representation theorem, and projective limits..Further to the contributions in this volume, after 2011 Heinz K?nig published two more articles that round up his work: .On the marginals of probability contents on lattices. (Mathematika 58, No. 2, 319-323, 2012), and .Measure and integration: the basic extension and representation theorems in terms of new inner and outer envelopes. (Indag. Math., New Ser. 25, | | 出版日期 | Book 2012 | | 關(guān)鍵詞 | Mathematics; Integration; Statistics; Theorems; Measure | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-0382-3 | | isbn_softcover | 978-3-0348-0755-5 | | isbn_ebook | 978-3-0348-0382-3 | | copyright | Springer Basel 2012 |
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