Stefan Bergman
Stefan Bergman | |
|---|---|
 Bergman inZürich,1932 | |
| Born | May 5, 1895 |
| Died | June 6, 1977(aged 82) |
| Education | University of Vienna University of Berlin |
| Known for | Bergman kernel Bergman metric Bergman space |
| Spouse | Adele Adlersberg |
| Scientific career | |
| Institutions | University of Berlin Tomsk State University MIT Yeshiva University Brown University Stanford University |
| Thesis | Über die Entwicklung der harmonischen Funktionen der Ebene und des Raumes nach Orthogonalfunktionen(1922) |
| Doctoral advisor | Richard von Mises |
| Doctoral students | Michael Maschler |
Stefan Bergman(5 May 1895 – 6 June 1977) was aPoland-born Americanmathematicianwhose primary work was incomplex analysis.He is known for thekernel functionhe discovered in 1922 atUniversity of Berlin.This function is now known as theBergman kernel.Bergman taught for many years atStanford University.[1]
Biography
[edit]Born inCzęstochowa,Congress Poland,Russian Empire,to a German Jewish family,[2]Bergman received hisPh.D.at University of Berlin in 1921 for adissertationonFourier analysis.His advisor,Richard von Mises,had a strong influence on him, lasting for the rest of his career.[3]In 1933, Bergman was forced to leave his post at the Berlin University because he was aJew.He fled first toRussia,where he stayed until 1939, and then toParis.In 1939, he emigrated to theUnited States,where he would remain for the rest of life.[3]He was elected a Fellow of theAmerican Academy of Arts and Sciencesin 1951.[4]He was a professor at Stanford University from 1952 until his retirement in 1972.[5]He was aninvited speaker at the International Congress of Mathematiciansin 1950 in Cambridge, Massachusetts[6]and in 1962 inStockholm(On meromorphic functions of several complex variables).[7]He died inPalo Alto, California,aged 82.
Bergman Prize
[edit]TheStefan Bergman Prizein mathematics was initiated by Bergman's wife in her will, in memory of her husband's work. TheAmerican Mathematical Societysupports the prize and selects the committee of judges.[8]The prize is awarded for:[8]
- the theory of thekernel functionand its applications in real and complex analysis; or
- function-theoretic methods in the theory ofpartial differential equationsofelliptic typewith a special attention to Bergman's and related operator methods.
Selected publications
[edit]- Bergmann, Stefan (1933),"Über die Kernfunktion eines Bereiches und ihr Verhalten am Rande. I",Journal für die reine und angewandte Mathematik(in German),1933(169):1–42,doi:10.1515/crll.1933.169.1,JFM60.1025.01,S2CID119758238.
- Bergmann, Stefan (1934),"Über eine in gewissen Bereichen mit Maximumfläche gültige Integraldarstellung der Funktionen zweier komplexer Variabler: I",Mathematische Zeitschrift(in German),39:76–94,doi:10.1007/BF01201345,S2CID120856598,Zbl0009.26202.
- Bergmann, Stefan (1935),"Über die Kernfunktion eines Bereiches und ihr Verhalten am Rande. II",Journal für die reine und angewandte Mathematik(in German),1935(172):89–128,doi:10.1515/crll.1935.172.89,JFM60.1025.01,S2CID199546391.
- Bergmann, S. (1935),"Über eine in gewissen Bereichen mit Maximumfläche gültige Integraldarstellung der Funktionen zweier komplexer Variabler: II",Mathematische Zeitschrift(in German),39:605–608,doi:10.1007/BF01201376,JFM61.0372.01,S2CID186228345
- Bergmann, S. (1936),"Über eine Integraldarstellung von Funktionen zweier komplexer Veränderlichen",Recueil Mathématique (Matematicheskii Sbornik),New Series (in German), 1 (43) (6):851–862,Zbl0016.17001
- Bergmann, Stefan (1947) [1941],Sur les fonctions orthogonales de plusieurs variables complexes avec les applications à la théorie des fonctions analytiques.,Mémorial des sciences mathématiques (in French), vol. 106 (2nd ed.), Paris:Gauthier-Villars,p. 61,JFM67.0299.03,MR0032776,Zbl0036.05101.The original edition was published in 1941 byInterscience Publishers.[9]
- Bergmann, Stefan (1948),Sur la fonction-noyau d'un domaine et ses applications dans la théorie des transformations pseudo-conformes.,Mémorial des sciences mathématiques (in French), vol. 108, Paris:Gauthier-Villars,p. 80,MR0032777,Zbl0036.05201.[10]
- The Kernel Function and Conformal Mapping,American Mathematical Society 1950,[11]2nd edn. 1970
- withMenahem Max Schiffer:Kernel Functions and elliptic differential equations in mathematical physics,Academic Press 1953[12]
- withJohn G. Herriot:Application of the method of the kernel function for solving boundary value problems,Numerische Mathematik3,1961
- Integral operators in the theory of linear partial differential equations,Springer 1961,[13]2nd edn. 1969
See also
[edit]References
[edit]- ^Stefan Bergmanat theMathematics Genealogy Project
- ^O'Connor & Robertson,Stefan Bergman.
- ^abO'Connor, John J.;Robertson, Edmund F.,"Stefan Bergman",MacTutor History of Mathematics Archive,University of St Andrews.
- ^"Book of Members, 1780–2010: Chapter B"(PDF).American Academy of Arts and Sciences.RetrievedJune 16,2011.
- ^Stefan Bergman papers, circa 1940–1972 in SearchWorks, Stanford University Libraries
- ^Bergman, Stefan."On visualization of domains in the theory of functions of two complex variables."Archived2016-10-03 at theWayback MachineIn Proceedings of the International Congress of Mathematicians, vol. 1, pp. 363–373. 1950.
- ^Bergman, S. "On meromorphic functions of several complex variables, Abstract of short communications." Internat. Congr. Math., Stockholm (1962): 63.
- ^abOther Prizes and Awards Supported by the AMS
- ^See the review byGelbart, Abe(1942)."Review: Stefan Bergman,Sur les fonctions orthogonales de plusieurs variables complexes avec les applications à la théorie des fonctions analytiques".Bulletin of the American Mathematical Society.48(1):15–18.doi:10.1090/s0002-9904-1942-07606-3..
- ^See the review byBehnke, H.(1951)."Review: Stefan Bergman,Sur la fonction-noyau d'un domaine et ses applications dans la théorie du transformations pseudo-conformes".Bulletin of the American Mathematical Society.57(3):186–188.doi:10.1090/s0002-9904-1951-09483-5..
- ^Behnke, H. (1952)."Review: Stefan Bergman,The kernel function and conformal mapping".Bull. Amer. Math. Soc.58(1):76–78.doi:10.1090/s0002-9904-1952-09553-7.
- ^Henrici, Peter(1955)."Review: S. Bergman and M. Schiffer,Kernel Functions and elliptic differential equations in mathematical physics".Bull. Amer. Math. Soc.61(6):596–600.doi:10.1090/s0002-9904-1955-10005-5.
- ^Kreyszig, Erwin(1962)."Review: Stefan Bergman,Integral operators in the theory of linear partial differential equations".Bull. Amer. Math. Soc.68(3):161–162.doi:10.1090/s0002-9904-1962-10724-1.
External links
[edit]- Author profilein the databasezbMATH
- 1895 births
- 1977 deaths
- American people of Polish-Jewish descent
- 20th-century Polish mathematicians
- Emigrants from the Russian Empire to the United States
- Emigrants from Nazi Germany
- Fellows of the American Academy of Arts and Sciences
- Humboldt University of Berlin alumni
- Academic staff of the Humboldt University of Berlin
- Jewish American scientists
- Complex analysts
- American mathematical analysts
- People from Częstochowa
- Partial differential equation theorists
- Stanford University Department of Mathematics faculty
- People from Palo Alto, California
- Brown University faculty
- Yeshiva University faculty
- Academic staff of Tomsk State University