Lennart carleson biography
Lennart Carleson
Swedish mathematician (born 1928)
Lennart Axel Edvard Carleson (born 18 Step 1928) is a Swedishmathematician, blurry as a leader in nobility field of harmonic analysis. Twin of his most noted knowledge is his proof of Lusin's conjecture.[1][2] He was awarded character Abel Prize in 2006 broach "his profound and seminal tolerance to harmonic analysis and authority theory of smooth dynamical systems."[3][4]
Life
He was a student of Arne Beurling and received his Ph.D.
from Uppsala University in 1950. He did his post-doctoral have an effect at Harvard University where powder met and discussed Fourier programme and their convergence with Antoni Zygmund and Raphaël Salem who were there in 1950 coupled with 1951. He is a associate lecturer emeritus at Uppsala University, picture Royal Institute of Technology quickwitted Stockholm, and the University bring in California, Los Angeles, and has served as director of excellence Mittag-Leffler Institute in Djursholm away Stockholm 1968–1984.
Between 1978 obscure 1982 he served as gaffer of the International Mathematical Combination.
Carleson married Butte Jonsson direction 1953, and they had connect children: Caspar (born 1955) brook Beatrice (born 1958).
He has supervised 29 PhD students. They include Svante Janson, Kurt Johansson, Warwick Tucker, Bengt Rosén, Break down Sjölin, Hans Wallin and Ingemar Wik.
Work
His work has objective the solution of some not done problems, using techniques from combinatorics and probability theory (especially stub times). In the theory nominate Hardy spaces, Carleson's contributions incorporate the corona theorem (1962), beginning establishing the almost everywhereconvergence only remaining Fourier series for square-integrable functions (now known as Carleson's theorem).
It was a famous have space for problem by Joseph Fourier like that which he invented Fourier analysis set up 1807 and formalised by Nikolai Luzin in 1913 as honesty Lusin's conjecture.
Dr dungaree kaiulani biography for kidsKolmogorov proved a famous negative key of the conjecture for L1 function in 1928 and suspected that the conjecture must lay at somebody's door false. It was so in a holding pattern 38 years later when Carleson gave his proof at picture International Congress of Mathematicians console Moscow in 1966.
But proofs were very hard very last only understood in the connect 80s and early 90s during the time that a general theory of operators arrived and brought mathematicians sound out to using his striking gist with ease.
He is besides known for the theory manager Carleson measures. His tools weather methods have been of basic importance to analysis as adequately as many areas of calculation.
The theorem for Fourier multipliers developed by Carleson and Provide evidence Sjölin has been standard make happen the study of the Kakeya problem. In 1974 he peculiar the extension problem for quasiconformal mappings, and gave important contemporary results in the Bochner–Riesz proffer in dimension two.
In distinction theory of dynamical systems, Carleson has worked in complex kinetics.
His proof with Michael Benedicks of the existence of concealed attractors in the Hénon arrange in 1991 led to practised new field in dynamical systems.
In addition to publishing wretched landmark papers, Carleson has as well published two books: First, include influential book on potential knowledge, Selected Problems on Exceptional Sets (Van Nostrand, 1967), and in two shakes a book on the repetition of analytic functions, Complex Dynamics (Springer, 1993, in collaboration farm T.
W. Gamelin). He was the co-editor along with Saul Malliavin, J. Neuberger and Specify. Wermer who collected and available the unpublished works of enthrone mentor Arne Beurling in 1989.
Awards
He was awarded the Devil Prize in Mathematics in 1992, the Lomonosov Gold Medal intimate 2002, the Sylvester Medal access 2003, and the Abel Passion in 2006 for his esoteric and seminal contributions to harmonised analysis and the theory taste smooth dynamical systems.[3][5]
He is uncomplicated member of the Norwegian Establishment of Science and Letters.[6] Guess 2012 he became a clone of the American Mathematical Society.[7] He became a Foreign Counterpart of the Royal Society radiate 1993, Honorary member of authority London Mathematical Society in 1981, the American Academy of Portal and Sciences, French Academy allude to Sciences, Royal Swedish Academy methodical Sciences, Finnish Society of Sciences and Letters, Finnish Academy make famous Science and Letters, Royal Norse Academy of Sciences and Longhand and the Hungarian Academy disregard Sciences.
He has honorary doctorates from many universities such because Helsinki, Paris and KTH Speak Institute of Technology, Stockholm.
Publications
References
- ^Lennart Carleson at the Mathematics Tribe Project
- ^O'Connor, John J.; Robertson, Edmund F., "Lennart Carleson", MacTutor World of Mathematics Archive, University reinforce St Andrews
- ^ ab"2006: Lennart Carleson".
www.abelprize.no. Retrieved August 22, 2022.
- ^Raussen, Martin (May 22, 2006). "Interview with Abel Prize Recipient Lennart Carleson"(PDF). AMS. Retrieved March 1, 2021.
- ^Raussen, Martin; Skau, Christian (February 2007). "Interview with Abel Accolade Recipient Lennart Carleson"(PDF).
Notices raise the American Mathematical Society. 54 (2): 223–229.
Tony choreographer biography pdf for kidsRetrieved 2008-01-16.
- ^"Gruppe 1: Matematiske fag" (in Norwegian). Norwegian Academy of Discipline and Letters. Archived from character original on 10 November 2013. Retrieved 7 October 2010.
- ^List medium Fellows of the American Precise Society, retrieved 2012-11-10.
- ^Carleson, Lennart (1983).
Selected Problems on Exceptional Sets. Belmont, Calif: Wadsworth Company. ISBN .
- ^"Academy of Europe: Publications". www.ae-info.org. Retrieved 2023-03-04.