Stefan Bergman

Stefan Bergman ( born May 5, 1895 in Częstochowa in Poland, † June 6, 1977 in Palo Alto, California ) was an American mathematician who worked primarily in function theory and potential theory.

Career

Bergman was born in Congress Poland and studied in Berlin with Richard von Mises, in which he dealt with applications of potential theory in electrical engineering. In 1921 he received his doctorate "On the development of harmonic functions of the plane and the space according to orthogonal functions ". The 1922 he introduced " Bergman kernel function " ( Bergman kernel) and the application, for example in the theory of conformal mappings and the partial differential equations should be his main area of ​​work for the rest of his career. In 1933, he lost a Jew his post at the university. He went in 1937, first in the USSR, then Paris in 1939 in the U.S., where he. Mediation of Mises first at Brown University, in 1945 just to von Mises to Harvard and then to Stanford University, where he remained until his retirement in He lived to see how its core function has become an important tool in the theory of functions of several complex variables. In several monographs he turned his methods on problems of physics (eg hydrodynamics and supersonic flows in the 1940s ).

In addition to the Bergman kernel and which are defined on such core " Bergman metric " and the " Bergman spaces" ( spaces in an area of holomorphic functions for which the integral of the magnitude squared of the function using finite) named after him.

In 1962 he was invited speaker at the International Congress of Mathematicians in Stockholm (On meromorphic functions of several complex variables).

Winner of the Stefan Bergman Prize

It is awarded annually by the American Mathematical Society for work in two main areas of work of Bergman, the theory of the Bergman kernel with applications in real and complex analysis and function-theoretic methods in the theory of Partial Differential Equations elliptic type with particular reference to Bergman 's operator method. Winners are:

Writings

  • The Kernel Function and Conformal Mapping, 2nd Edition, American Mathematical Society 1970
  • Integral operators in the theory of linear partial differential equations, Springer 1969
  • With Menahem Max Schiffer: Kernel Functions and Elliptic differential equations in mathematical physics, Academic Press 1953
  • Sur les fonctions de plusieurs variables complexes orthogonal avec les applications à la théorie des fonctions analytiques, Paris, Gauthier -Villars 1947
  • About the core function of an area and their behavior on the edge 1, Journal of Pure and Applied Mathematics Bd.169, 1933, Part 2 in Bd.172:
  • With Heriot: Application of the method of the kernel function for solving boundary value problems, Numerical Mathematics 3, 1961
Harvard University Charles Fefferman Yum-Tong Siu Harold P. Boas Joseph J. Kohn Integrated Authority File
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