Arne Beurling | |
|---|---|
 Arne Beurling in 1940s | |
| Born | 3 February 1905 |
| Died | 20 November 1986 (aged 81) Princeton, New Jersey, United States |
| Nationality | Swedish |
| Alma mater | Uppsala University |
| Known for | Beurling algebra Beurling factorization Beurling–Lax theorem Beurling–Nyman criterion |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Uppsala University Institute for Advanced Study |
| Doctoral advisor | Anders Wiman |
| Doctoral students | Lennart Carleson Carl-Gustav Esseen |
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.
He is perhaps most famous for single-handedly decrypting an early version of the German cipher machine Siemens and Halske T52 in a matter of two weeks during 1940, using only pen and paper. This machine's cipher is generally considered to be more complicated than that of the more famous Enigma machine. Beurling's method of decrypting military telegrams between Norway and Germany worked from June 1940 right up until 1943 when the Germans changed equipment.