Heinz König - Measure and Integration: Publications 1997-2011
Published: 2012-06-07 | ISBN: 3034803818 | DJVU | 519 pages | 4 MB
Published: 2012-06-07 | ISBN: 3034803818 | DJVU | 519 pages | 4 MB
Book Description :
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.
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