Lennart Carleson | |
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Lennart Carleson in May 2006.
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Born |
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18 March 1928
Nationality | Swedish |
Fields | Mathematics |
Institutions |
Royal Institute of Technology Uppsala University University of California, Los Angeles |
Alma mater | Uppsala University |
Doctoral advisor | Arne Beurling |
Doctoral students |
Svante Janson Warwick Tucker |
Known for | Carleson–Jacobs theorem |
Notable awards |
Abel Prize (2006) Sylvester Medal (2003) Lomonosov Gold Medal (2002) Wolf Prize (1992) Leroy P. Steele Prize (1984) |
Lennart Axel Edvard Carleson (born 18 March 1928) is a Swedish mathematician, known as a leader in the field of harmonic analysis. One of his most famous achievements is his proof of Lusin's conjecture.
He was a student of Arne Beurling and received his Ph.D. from Uppsala University in 1950. He is a professor emeritus at Uppsala University, the Royal Institute of Technology in , and the University of California, Los Angeles, and has served as director of the Mittag-Leffler Institute in Djursholm outside Stockholm 1968–1984. Between 1978 and 1982 he served as president of the International Mathematical Union.
Carleson married Butte Jonsson in 1953, and they had two children: Caspar (born 1955) and Beatrice (born 1958).
His work has included the solution of some outstanding problems, using techniques from combinatorics and probability theory (especially stopping times). In the theory of Hardy spaces, Carleson's contributions include the corona theorem (1962) and establishing the almost everywhere convergence of Fourier series for square-integrable functions (now known as Carleson's theorem). He is also known for the theory of Carleson measures.