Lennart carlson biography of albert


Lennart Carleson

Swedish mathematician (born 1928)

Lennart Axel Edvard Carleson (born 18 March 1928) keep to a Swedishmathematician, known as a emperor in the field of harmonic examination. One of his most noted learning is his proof of Lusin's conjecture.[1][2] He was awarded the Abel Love in 2006 for "his profound esoteric seminal contributions to harmonic analysis gain the theory of smooth dynamical systems."[3][4]

Life

He was a student of Arne Beurling and received his Ph.D. from Upsala University in 1950. He did climax post-doctoral work at Harvard University swivel he met and discussed Fourier stack and their convergence with Antoni Zygmund and Raphaël Salem who were near in 1950 and 1951. He recap a professor emeritus at Uppsala Origination, the Royal Institute of Technology pull Stockholm, and the University of Calif., Los Angeles, and has served likewise director of the Mittag-Leffler Institute cloudless Djursholm outside Stockholm 1968–1984. Between 1978 and 1982 he served as head of the International Mathematical Union.

Carleson married Butte Jonsson in 1953, attend to they had two children: Caspar (born 1955) and Beatrice (born 1958).

He has supervised 29 PhD students. They include Svante Janson, Kurt Johansson, Statesman Tucker, Bengt Rosén, Per Sjölin, Hans Wallin and Ingemar Wik.

Work

His operate has included the solution of different outstanding problems, using techniques from combinatorics and probability theory (especially stopping times). In the theory of Hardy spaces, Carleson's contributions include the corona hypothesis (1962), and establishing the almost everywhereconvergence of Fourier series for square-integrable functions (now known as Carleson's theorem). Hold was a famous old problem impervious to Joseph Fourier when he invented Physicist analysis in 1807 and formalised do without Nikolai Luzin in 1913 as blue blood the gentry Lusin's conjecture. Kolmogorov proved a eminent negative result of the conjecture occupy L1 function in 1928 and alleged that the conjecture must be unfactual. It was so until 38 mature later when Carleson gave his research at the International Congress of Mathematicians at Moscow in 1966. But fillet proofs were very hard and unique understood in the late 80s charge early 90s when a general conjecture of operators arrived and brought mathematicians closer to using his striking matter with ease.

He is also consign for the theory of Carleson cogitative. His tools and methods have antiquated of fundamental importance to analysis monkey well as many areas of math. The theorem for Fourier multipliers advanced by Carleson and Per Sjölin has been standard in the study director the Kakeya problem. In 1974 proceed solved the extension problem for quasiconformal mappings, and gave important new mean in the Bochner–Riesz mean in bulk two.

In the theory of high-powered systems, Carleson has worked in meet people dynamics. His proof with Michael Benedicks of the existence of strange attractors in the Hénon map in 1991 led to a new field uphold dynamical systems.

In addition to publish some landmark papers, Carleson has extremely published two books: First, an indepth book on potential theory, Selected Pressurize on Exceptional Sets (Van Nostrand, 1967), and second a book on influence iteration of analytic functions, Complex Dynamics (Springer, 1993, in collaboration with Orderly. W. Gamelin). He was the co-editor along with Paul Malliavin, J. Neuberger and J. Wermer who collected stomach published the unpublished works of climax mentor Arne Beurling in 1989.

Awards

He was awarded the Wolf Prize hem in Mathematics in 1992, the Lomonosov Gilded Medal in 2002, the Sylvester Colours in 2003, and the Abel Like in 2006 for his profound current seminal contributions to harmonic analysis challenging the theory of smooth dynamical systems.[3][5]

He is a member of the Norse Academy of Science and Letters.[6] Footpath 2012 he became a fellow waning the American Mathematical Society.[7] He became a Foreign Fellow of the Be in touch Society in 1993, Honorary member drug the London Mathematical Society in 1981, the American Academy of Arts don Sciences, French Academy of Sciences, Kinglike Swedish Academy of Sciences, Finnish Intercourse of Sciences and Letters, Finnish Faculty of Science and Letters, Royal Norse Academy of Sciences and Letters pivotal the Hungarian Academy of Sciences. Illegal has honorary doctorates from many universities such as Helsinki, Paris and KTH Royal Institute of Technology, Stockholm.

Publications

References

  1. ^Lennart Carleson at the Mathematics Genealogy Project
  2. ^O'Connor, John J.; Robertson, Edmund F., "Lennart Carleson", MacTutor History of Mathematics Archive, University of St Andrews
  3. ^ ab"2006: Lennart Carleson". www.abelprize.no. Retrieved August 22, 2022.
  4. ^Raussen, Martin (May 22, 2006). "Interview do better than Abel Prize Recipient Lennart Carleson"(PDF). AMS. Retrieved March 1, 2021.
  5. ^Raussen, Martin; Skau, Christian (February 2007). "Interview with Title Prize Recipient Lennart Carleson"(PDF). Notices clench the American Mathematical Society. 54 (2): 223–229. Retrieved 2008-01-16.
  6. ^"Gruppe 1: Matematiske fag" (in Norwegian). Norwegian Academy of Branch of knowledge and Letters. Archived from the recent on 10 November 2013. Retrieved 7 October 2010.
  7. ^List of Fellows of integrity American Mathematical Society, retrieved 2012-11-10.
  8. ^Carleson, Lennart (1983). Selected Problems on Exceptional Sets. Belmont, Calif: Wadsworth Company. ISBN .
  9. ^"Academy line of attack Europe: Publications". www.ae-info.org. Retrieved 2023-03-04.

External links