Heinz Bauer (mathematician)

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Heinz Bauer (1988)

Heinz Bauer (born January 31, 1928 in Nuremberg ; † August 15, 2002 in Erlangen ) was a German mathematician who dealt with probability theory and analysis .

Live and act

Bauer attended grammar school in Nuremberg and studied mathematics and physics at the University of Erlangen with Georg Nöbeling and Otto Haupt and at the University of Nancy (1952 with Laurent Schwartz and Jean Dieudonné ). In 1953 he received his doctorate from Haupt in Erlangen and his habilitation in 1956. He then worked as an assistant in Erlangen until 1958, interrupted by a stay in 1956/57 as Attaché de Recherches at the CNRS in Paris with Gustave Choquet and Marcel Brelot . From 1959 he taught at the University of Hamburg and in 1961 - as the successor to Leopold Butterer , who went to Vienna - became Professor of Actuarial Mathematics and Mathematical Statistics . In 1961/62 he was visiting professor at the University of Washington in Seattle with Victor Klee and in 1964 in Paris. In 1965 he was back at the University of Erlangen, where he succeeded Otto Haupt and was Konrad Jacobs' colleague as a stochastic . In addition, he held numerous visiting professorships. In 1996 he retired.

Bauer worked in different areas of mathematics and dealt intensively with potential theory , measurement and integration theory , probability theory and functional analysis as well as their interrelationships. The Bauer's maximum principle in the Analysis and Bauersche harmonious rooms are named after him. Not least because of his stay in France (with Bourbaki members), Bauer was strongly influenced by the axiomatic method of the Bourbaki school.

From 1988 to 2002 he was on the editorial board of the mathematical journal Aequationes Mathematicae .

Bauer supervised 32 doctoral students, many of whom became professors, such as the statistician Hans Föllmer and the systems theorist Diederich Hinrichsen .

Awards and honors

In 1977 he was President of the German Mathematicians Association .


  • Probability theory and the basics of measure theory (= Göschen Collection. Vol. 1216 / 1216a, ZDB -ID 842269-2 ). Volume 1. de Gruyter, Berlin 1964 (In later editions the measure theory part was separated into a separate book. From the 4th edition as: Probability Theory. 4th, completely revised and redesigned edition. De Gruyter, Berlin et al. 1991, ISBN 3 -11-012190-5 ; in English: Probability Theory and Elements of Measure Theory. Translated by Lisa Rosenblatt. Holt, Rinehart and Winston, New York NY et al. 1972, ISBN 0-03-081621-1 ).
  • Harmonic spaces and their potential theory. Elaboration of a lecture held in the summer semester of 1965 at the University of Hamburg (= Lecture Notes in Mathematics. Vol. 22, ISSN  0075-8434 ). Springer, Berlin 1966.
  • Differential and integral calculus. Lecture. 2 volumes. Merkel University Bookstore, Erlangen 1966–1967.
  • with Bernd Anger: Multi-dimensional integration. An introduction to Lebesgue's theory (= Göschen Collection. Vol. 2121). de Gruyter 1976, ISBN 3-11-004612-1 .
  • Measure and integration theory. de Gruyter, Berlin et al. 1990, ISBN 3-11-012772-5 (2nd, revised edition. ibid. 1992; in English: Measure and Integration Theory (= De Gruyter Studies in Mathematics. Vol. 26). de Gruyter, Berlin 2001, ISBN 3-11-016719-0 ).
  • Selecta. Edited by Herbert Heyer, Niels Jacob and Ivan Netuka. de Gruyter, Berlin et al. 2003, ISBN 3-11-017350-6 .


Web links

Individual evidence

  1. Heinz Bauer in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ^ In: The American Mathematical Monthly. Vol. 85, No. 8, October 1978, ISSN  0002-9890 , pp. 632-647.
  3. No more volumes have appeared.