Wolfgang Rothstein

from Wikipedia, the free encyclopedia

Wolfgang Rothstein (born October 11, 1910 in Minden ; † January 27, 1975 in Hanover ) was a German mathematician specializing in "Complex Analysis of Several Variables". Rothstein worked as a lecturer and professor of mathematics at the universities of Würzburg , Marburg , Münster and Hanover.

Life

Wolfgang Rothstein was born on October 11, 1910 in Minden as the son of Gustav Rothstein, who later became the ministerial director. In 1929 he began his studies of mathematics, physics and philosophy at the Westphalian Wilhelms University in Münster, which he in 1935 with the promotion of Dr. phil. with Heinrich Behnke with his dissertation on the theory of analytical mappings in the space of two complex variables .

In 1936 he refused to be sworn in by the SA , which initially prevented him from attending a university or school career. From 1937 to 1945 he worked in the aviation industry, first at the Henschel company in Berlin, then at the Aerodynamic Research Institute and at the Kaiser Wilhelm Institute for Flow Research in Göttingen (today the Max Planck Institute for Dynamics and Self-Organization ). From 1942 to 1943 Rothstein was drafted into military service.

After the Second World War , Rothstein completed his habilitation in mathematics at the University of Würzburg in 1947 with work on HARTOG's main theorem for regular and meromorphic functions, and from October 21, 1947 he was a private lecturer in mathematics under Julius Wellstein . In 1950 he became a private lecturer and in 1955 an adjunct professor of mathematics at the University of Marburg . In 1959 he received a professorship at the Westphalian Wilhelms University in Münster and was visiting professor in the USA several times from 1960 to 1967 (University of California in Berkeley, Purdue University in Lafayette, Ind.). Finally, in 1965, he was appointed full professor of mathematics at the Technical University of Hanover (now the university). He held this professorship until his death on January 27, 1975.

Scientific achievement

During his work in the aviation industry, Rothstein researched basic questions of fluid mechanics and published several papers on it. His main mathematical work after the war was the continuation of the analysis of several complex variables . For the first time, he successfully treated the difficult continuation questions for analytic functions and sets typical of multi-dimensional function theory with methods from potential theory ( plurisubharmonic functions , concept of capacity , maximum principle ). In this context he also introduced the concept of q-convexity , which then gained great importance in complex analysis .

Fonts

W. Rothstein has published a total of 27 scientific papers and books on fluid mechanics and, above all, on the function theory of several variables, only the most important publications are listed here.

Technical article

  • 1935   On the theory of analytical mappings in the space of two complex variables. Dissertation Münster 1935.
  • 1942–1946 Several papers on flow theory.
  • 1946   HARTOG's law for regular and meromorphic functions. Reports Math. Conference Tübingen.
  • 1948   The invariant version of the continuity theorem for meromorphic functions. Arch. Math. 1, 1948, 119-126.
  • 1949   About the continuability of regular and meromorphic functions of two variables and the main theorem of HARTOG. Math. Nachr. 3, 1949, 95-101.
  • 1950   About the continuation of four-dimensional analytical surfaces. Arch. Math. 2, 1949/50, 456-460.
  • 1951   On the continuation of analytical surfaces. Math. Ann. 122, 1951, 424-434.
  • 1953   On the theory of the singularities of analytical functions and surfaces. Math. Ann. 126, 1953, 221-238.
  • 1955   On the theory of analytic manifolds in the space of n complex variables. Math. Ann. 129, 1955, 96-138.
  • 1957   The continuation of analytical sets from the edge of a region into the interior. Math. Ann. 133, 1957, 271-280.
  • 1967   On the theory of analytical sets. Math. Ann. 174, 1967, 8-32.
  • 1968   The maximum principle and the singularities of analytical sets. Invent. Math. 6, 1968, 163-184.

Books

  • 1964   On the Continuation of Analytic Sets. Lecture Notes, Purdue University, Lafayette (Ind.) 1964.
  • 1965   Introduction to the function theory of several complex variables. Parts I and II (Part II with the collaboration of Klaus Kopfermann), Aschendorffsche Verlagsbuchhandlung, Münster 1965.
  • 1982   Function theory of several complex variables. (Edited by Klaus Kopfermann) BI Wissenschaftsverlag, Mannheim-Vienna-Zurich 1982, ISBN 3-411-01623-X .

literature

  • Klaus Kopfermann: Wolfgang Rothstein in memory. With a complete list of publications. In: Hannover TU, magazine of the Technical University of Hannover, 2nd year 1975, issue 1, pp. 25/26.
  • François Bruhat Prolongement des sous-variétés analytiques, d'après W. Rothstein , Séminaire Bourbaki No. 122, 1955/56

Web links

Individual evidence

  1. ↑ Julius Maximilians University of Würzburg: Lecture directory for the summer semester of 1948. University printing house H. Stürtz, Würzburg 1948, pp. 15 and 19.
personal data
SURNAME Rothstein, Wolfgang
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH October 11, 1910
PLACE OF BIRTH Minden
DATE OF DEATH January 27, 1975
Place of death Hanover