Measure and Integration

Publications 1997-2011

  • Heinz König

Table of contents

  1. Front Matter
    Pages i-xi
  2. Heinz König
    Pages 17-31
  3. Heinz König
    Pages 103-126
  4. Heinz König
    Pages 127-148
  5. Heinz König
    Pages 165-173
  6. Heinz König
    Pages 235-244
  7. Heinz König
    Pages 343-352
  8. Back Matter
    Pages 505-E4

About this book


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.


Mathematics Integration Statistics Theorems Measure

Authors and affiliations

  • Heinz König
    • 1
  1. 1., Department of MathematicsUniversität des SaarlandesSaarbrückenGermany

Bibliographic information