Heinz König

(Author)

Measure and Integration: Publications 1997-2011 (2012)Hardcover - 2012, 7 June 2012

Measure and Integration: Publications 1997-2011 (2012)
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Print Length
508 pages
Language
English
Publisher
Birkhauser
Date Published
7 Jun 2012
ISBN-10
3034803818
ISBN-13
9783034803816

Description

This collection of Heinz König'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 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).

Product Details

Author:
Heinz König
Book Edition:
2012
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
7 June 2012
Dimensions:
23.37 x 15.75 x 3.3 cm
Genre:
Science/Technology Aspects
ISBN-10:
3034803818
ISBN-13:
9783034803816
Language:
English
Location:
Basel
Pages:
508
Publisher:
Weight:
839.15 gm

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