Heinz Bauer

Heinz Bauer ( born January 31, 1928 in Nuremberg, † August 15 2002 in Erlangen ) was a German mathematician who worked on probability theory and calculus.

Life and work

Bauer attended the Gymnasium in Nuremberg and studied mathematics and physics at the University of Erlangen in Nöbeling Georg and Otto Main and at the University of Nancy (1952 Laurent Schwartz and Jean Dieudonné ). In 1953 he received his doctorate in Erlangen at Main and habilitated in 1956. After that, he was assistant to 1958 in Erlangen, interrupted by a stay 1956/57, as Attaché de Recherches at the CNRS in Paris with Gustave Choquet and Marcel Brelot. In 1961 he became professor of Actuarial Mathematics and Mathematical Statistics at the University of Hamburg ( where he taught in 1959 ) as the successor of Leopold Schmetterer, who went to Vienna. 1961/62 he was a visiting professor at the University of Washington in Seattle with Victor Klee and in Paris in 1964. In 1965 he was back at the University of Erlangen, where he became the successor of Otto Haupt and was as Stochastiker colleague Konrad Jacobs. In addition, he has held numerous visiting professorships. In 1996 he retired.

Bauer was concerned with potential theory, measure and integration theory, probability theory and functional analysis, and their interrelationships. The Bauer's maximum principle in convex analysis and harmonic Bauer's rooms are named after him. Bauer was marked not least by his stay in France ( in Bourbaki members ) strongly on the axiomatic method of the Bourbaki school.

1988 to 2002 he was in the editorial board of Aequationes Mathematicae.

He had 32 doctoral students, many of whom were professors.

Awards and honors

  • Member of the Bavarian (since 1975), Finnish, Austrian, Danish Academy of Sciences and the Leopoldina ( from 1991 as the Chairman of Mathematics )
  • Bavarian Order of Merit
  • In 1974 he was invited speaker ( plenary lecture ) at the International Congress of Mathematicians in Vancouver ( Aspects of modern potential theory ).
  • 1980 Chauvenet Prize of the MAA for the essay " Approximation and Abstract Boundaries".
  • 1987 Honorary Medal of the Charles University in Prague
  • 1992 honorary doctorate from the Charles University in Prague
  • 1994 honorary doctorate from the Technical University of Dresden
  • 1998 Bavarian Maximilian Order for Science and Art

In 1977 he was president of the German Mathematical Society.

Writings

  • Probability theory and fundamentals of measure theory ( = Sammlung Goschen. Vol 1216/1216a, ZDB - ID 842269-2 ). Volume 1 de Gruyter, Berlin, 1964 ( In later editions of measure theory part from the 4th edition as was separated in a separate book: Probability Theory 4, completely revised and redesigned edition, de Gruyter, Berlin and others, 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, inter alia, 1972, ISBN 0-03-081621-1 ). ..
  • Harmonic spaces and their potential theory. Development of a held at the University of Hamburg in the summer semester 1965 lecture ( = Lecture Notes in Mathematics. Vol 22, ISSN 0075-8434 ). Springer, Berlin 1966.
  • Differential and integral calculus. Lecture. 2 vols. University Bookstore Merkel, Erlangen from 1966 to 1967.
  • With Bernd Anger: Multidimensional integration. An Introduction to Lebesgue theory ( = Sammlung Goschen. Vol. 2121 ). de Gruyter 1976, ISBN 3-11-004612-1.
  • Measure and integration theory. de Gruyter, Berlin and others, 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.. among other things, 2001, ISBN 3-11-016719-0 ).
  • Selecta. Edited by Herbert Heyer, Niels Jacob and Ivan Netuka. de Gruyter, Berlin and others 2003, ISBN 3-11-017350-6.
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