Measure and Integration : An Advanced Course in Basic Procedures and Applications （1st Corrected ed. 1997, Corr. 2nd printing 2008. 2009. xxii, 260 S. XX）

Koenig, Heinz

SPRINGER, BERLIN; SPRINGER BERLIN HEIDELBERG; SPRINGE（2009発売）

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製本 Hardcover:ハードカバー版／ページ数 260 p.
商品コード 9783540618584

Full Description

This book aims at restructuring some fundamentals in measure and integration theory. It centers around the ubiquitous task to produce appropriate contents and measures from more primitive data like elementary contents and elementary integrals. It develops the new approach started around 1970 by Topsoe and others into a systematic theory. The theory is much more powerful than the traditional means and has striking implications all over measure theory and beyond.

Set Systems and Set Functions.- The Extension Theories Based on Regularity.- Applications of the Extension Theories.- The Integral.- The Daniell-Stone and Riesz Representation Theorems.- Transplantation of Contents and Measures.- Products of Contents and Measures.- Applications of the New Contents and Measures.