Stefan Bergman
Stefan Bergman (born May 5, 1895 in Częstochowa in Poland , † June 6, 1977 in Palo Alto , California ) was an American mathematician who mainly worked in function theory and potential theory.
Career
Bergman was born in Congress Poland and studied with Richard von Mises in Berlin , where he dealt with applications of potential theory in electrical engineering. In 1921 he received his doctorate “On the development of the harmonic functions of the plane and space according to orthogonal functions”. The "Bergman core function" (Bergman core) introduced by him in 1922 and the application z. B. Conformal map theory and partial differential equation theory should be his main field of work for the rest of his career. In 1933 he lost his post at the university as a Jew. In 1937 he first went to the USSR , then via Paris in 1939 to the USA , where he first went to Brown University through von Mises , in 1945 briefly to von Mises to Harvard and then to Stanford University , where he stayed until his retirement. He still saw how its core function became an important tool in the theory of the functions of several complex variables. In several monographs, he also applied his methods to problems in physics (e.g. hydrodynamics and supersonic flows in the 1940s).
In addition to the Bergman kernel, the “Bergman metric” defined by such a kernel and the “Bergman spaces” (spaces in a domain of holomorphic functions for which the integral of the absolute square of the function is finite) are named after him.
In 1951 Bergmann was elected to the American Academy of Arts and Sciences . In 1962 he gave a lecture at the International Congress of Mathematicians in Stockholm ( On meromorphic functions of several complex variables ).
Winner of the Stefan Bergman Prize
The Stefan Bergman Prize ( English Stefan Bergman Prize ) is awarded annually by the American Mathematical Society for work in two main areas of Bergman's work: the theory of the Bergman kernel with applications in real and complex analysis and functional theory methods in the theory of partial differential equations elliptic Type with special reference to Bergman's operator method. Prize winners are:
- 1989 David Catlin
- 1991 Steven Bell , Ewa Ligocka
- 1992 Charles Fefferman
- 1993 Yum-Tong Siu
- 1994 John Erik Fornaess
- 1995 Harold P. Boas , Emil J. Straube
- 1997 David E. Barrett , Michael Christ
- 1999 John P. D'Angelo
- 2000 Masatake Kuranishi
- 2001 Laszlo Lempert , Sidney Webster
- 2003 Salah Baouendi , Linda Preiss Rothschild
- 2004 Joseph Kohn ,
- 2005 Elias M. Stein
- 2006 Kengo Hirachi
- 2007/2008 Alexander Nagel , Stephen Wainger
- 2009 Ngaiming Mok , Duong H. Phong
- 2011 Gennadi Henkin
- 2012 David S. Jerison , John M. Lee
- 2013 Xiaojun Huang , Steven Zelditch
- 2014 Takeo Ohsawa , Sławomir Kołodziej
- 2015 Eric Bedford , Jean-Pierre Demailly
- 2016 Charles L. Epstein , François Trèves
- 2017 Bo Berndtsson , Nessim Sibony
- 2018 Johannes Sjöstrand
- 2019 Franc Forstnerič , Mei-Chi Shaw
Fonts
- 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 orthogonales de plusieurs variable complexes avec les applications à la théorie des fonctions analytiques , Paris, Gauthier-Villars 1947
- About the core function of an area and its behavior at the edge 1 , Journal for pure and applied mathematics, Vol. 169, 1933 , Part 2 in Vol. 172: [1]
- with Heriot: Application of the method of the kernel function for solving boundary value problems , Numerische Mathematik 3 , 1961
Web links
- John J. O'Connor, Edmund F. Robertson : Stefan Bergman. In: MacTutor History of Mathematics archive .
- Author profile in the database zbMATH
Remarks
- ↑ he wrote himself Bergmann in Germany in the 1920s and 1930s
- ↑ List of the award winners
- ^ American Mathematical Society. In: ams.org. February 5, 2019, accessed February 5, 2019 .
- ↑ Laureates 2019
personal data | |
---|---|
SURNAME | Bergman, Stefan |
BRIEF DESCRIPTION | American mathematician |
DATE OF BIRTH | May 5, 1895 |
PLACE OF BIRTH | Częstochowa , Poland |
DATE OF DEATH | June 6, 1977 |
Place of death | Palo Alto |