Arne Beurling
| Arne Beurling | |
|---|---|
| Born |
3 February 1905 Gothenburg, Sweden |
| Died | 20 November 1986 (aged 81) Princeton, New Jersey, USA |
| Nationality | Swedish |
| Fields | Mathematics |
| Institutions |
Uppsala University Institute for Advanced Study |
| Alma mater | Uppsala University |
| Doctoral advisor | Anders Wiman |
| Doctoral students |
Göran Borg Lennart Carleson Yngve Domar Carl-Gustav Esseen |
| Known for |
Beurling algebra Beurling factorization Beurling–Lax theorem Beurling–Nyman criterion |
Arne Carl-August Beurling (3 February 1905 – 20 November 1986) was a Swedish mathematician and professor of mathematics at Uppsala University (1937–1954) and later at the Institute for Advanced Study in Princeton, New Jersey. Beurling worked extensively in harmonic analysis, complex analysis and potential theory. The "Beurling factorization" helped mathematical scientists to understand the Wold decomposition, and inspired further work on the invariant subspaces of linear operators and operator algebras, e.g. Håkan Hedenmalm's factorization theorem for Bergman spaces.
Beurling was born in Gothenburg, Sweden and was the son of the landowner Konrad Beurling and baroness Elsa Raab. After graduating in 1924, he was enrolled at the Uppsala University where he received a Bachelor of Arts degree in 1926 and two years later a Licentiate of Philosophy degree. Beurling was assistant teacher at Uppsala University from 1931 to 1933. He received his doctorate in mathematics in 1933 for his dissertation Études sur un problème de majoration. Beurling was a docent of mathematics at Uppsala University from 1933 and then professor of mathematics from 1937 to 1954. He was visiting professor at Harvard University from 1948 to 1949. From 1954 he was professor at the Institute for Advanced Study at Princeton University, United States, where he took over Albert Einstein's office.
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