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Lennart Carleson

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Lennart Carleson in May 2006.
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Lennart Carleson in May 2006.

Lennart Axel Edvard Carleson (b. March 18, 1928) is a Swedish mathematician, known as a leader in the field of harmonic analysis.

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[edit] Life

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 Stockholm, 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 1956).

[edit] Work

His work has included the solution of some outstanding problems, by means of combinatorial techniques. These include the corona theorem (1962) in the theory of Hardy spaces, the almost everywhere convergence of Fourier series for square-integrable functions, and work in complex dynamics. He is also known for the theory of Carleson measures.

In addition to publishing some very significant papers, Carleson has also published an influential book on potential theory: "Selected Problems on Exceptional Sets" (Van Nostrand, 1967), and in collaboration with T. W. Gamelin, a book on the iteration of analytic functions: "Complex Dynamics" (Springer, 1993).

[edit] Awards

He has been awarded the Wolf Prize in Mathematics in 1992, the Lomonosov Gold Medal in 2002, the Sylvester Medal in 2003, and the Abel Prize in 2006 for his profound and seminal contributions to harmonic analysis and the theory of smooth dynamic systems.

[edit] External links

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