Overview
Heinz König’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 function (to replace the traditional Carathéodory outer measures), which leads to much simpler and more explicit treatment
The incorporation of non-sequential and of inner regular versions leads to much more comprehensive results
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Table of contents (26 chapters)
Keywords
About this book
Further to the contributions in this volume, after 2011 Heinz König 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, No. 2, 305-314, 2014).
Authors and Affiliations
About the author
Heinz König is a distinguished analyst, who has given lasting contributions to functional analysis, distribution theory, convex analysis, mathematical economics and many other fields of mathematics. Typical of his work is the analysis or creation of basic new concepts from most original viewpoints. Heinz König gave a large number of original, short and elegant proofs of fundamental results in mathematics. Most remarkable is the new theory of measure and integration he developed in the last two decades.
Born in Stettin (Szczecin/Poland), Heinz König has been a professor at the University of Saarland (Germany) since 1965 and a visiting professor at many prestigious universities around the world.Bibliographic Information
Book Title: Measure and Integration
Book Subtitle: Publications 1997-2011
Authors: Heinz König
DOI: https://doi.org/10.1007/978-3-0348-0382-3
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Basel 2012
Hardcover ISBN: 978-3-0348-0381-6Published: 07 June 2012
Softcover ISBN: 978-3-0348-0755-5Published: 20 July 2014
eBook ISBN: 978-3-0348-0382-3Published: 06 June 2012
Edition Number: 1
Number of Pages: XI, 508
Number of Illustrations: 1 illustrations in colour
Topics: Measure and Integration