Lennart carlson biography of abraham

Awards Abel Prize For profound and seminal contributions to harmonic analysis and the theory of smooth dynamical systems. Sylvester Medal For his deep and fundamental contributions to mathematics in the field of analysis and complex dynamics. Wolf Prize In the field of mathematics for his fundamental contributions to Fourier analysis, complex analysis, quasi-conformal mappings and dynamical systems.

Life He was a student of Arne Beurling and received his Ph. Work His work has included the solution of some outstanding problems, using techniques from combinatorics and probability theory especially stopping times. In the theory of dynamical systems, Carleson has worked in complex dynamics. Awards He was awarded the Wolf Prize in Mathematics in , the Lomonosov Gold Medal in , the Sylvester Medal in , and the Abel Prize in for his profound and seminal contributions to harmonic analysis and the theory of smooth dynamic systems.

He concentrates on only the most difficult and deep problems. Once these are solved, he lets others invade the kingdom he has discovered, and he moves on to even wilder and more remote domains of Science. Carleson's work has forever altered our view of analysis. Not only did he prove extremely hard theorems, but the methods he introduced to prove them have turned out to be as important as the theorems themselves.

His unique style is characterized by geometric insight combined with amazing control of the branching complexities of the proofs. On 23 May he received the Prize from Queen Sonja. He said in reply:- Carl Friedrich Gauss once described mathematics at the queen of science, and for a servant of this queen like me to stand here in these beautiful surroundings and receive the grand Abel Prize from a real queen is really an overwhelming event in my life.

Peter W Jones in [ 5 ] gives this summary:- Carleson's influence extends far beyond his research, a fact well known to the broad mathematical community. Besides his papers Carleson has published an influential book on potential theory 'Selected problems in the theory of exceptional sets' and helped make accessible the unpublished work of Arne Beurling i.

But Carleson's influence extends far beyond his publications. He has trained many PhD students, and many more mathematicians who came from around the world to learn from him. As director of the Mittag-Leffler Institute, he not only developed a world-class research centre, but moulded an entire generation of analysts. His research in analysis is a series of towering and fundamental discoveries.

His friends know well his generosity, encouragement and selfless giving of himself. Carleson has received a host of honours for his truly outstanding contributions. Many learned societies around the world have been eager to elect him to membership. He had also won numerous prizes, some of which we have mentioned above. He has been awarded honorary doctorates by the University of Helsinki , the University of Paris , and the Royal Institute of Technology, Stockholm References show.

Carleson married Butte Jonsson in , and they had two children: Caspar born and Beatrice born He has supervised 29 PhD students. 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 , and establishing the almost everywhere convergence of Fourier series for square-integrable functions now known as Carleson's theorem.

It was a famous old problem by Joseph Fourier when he invented Fourier analysis in and formalised by Nikolai Luzin in as the Lusin's conjecture. Kolmogorov proved a famous negative result of the conjecture for L 1 function in and stated that the conjecture must be false.

Lennart carlson biography of abraham

It was so until 38 years later when Carleson gave his proof at the International Congress of Mathematicians at Moscow in But his proofs were very hard and only understood in the late 80s and early 90s when a general theory of operators arrived and brought mathematicians closer to using his striking ideas with ease. He is also known for the theory of Carleson measures.

His tools and methods have been of fundamental importance to analysis as well as many areas of mathematics. In he solved the extension problem for quasiconformal mappings , and gave important new results in the Bochner—Riesz mean in dimension two. In the theory of dynamical systems , Carleson has worked in complex dynamics. In addition to publishing some landmark papers, Carleson has also published two books: First, an influential book on potential theory , Selected Problems on Exceptional Sets Van Nostrand, , and second a book on the iteration of analytic functions , Complex Dynamics Springer, , in collaboration with T.

He was the co-editor along with Paul Malliavin, J. Neuberger and J. Wermer who collected and published the unpublished works of his mentor Arne Beurling in He was awarded the Wolf Prize in Mathematics in , the Lomonosov Gold Medal in , the Sylvester Medal in , and the Abel Prize in for his profound and seminal contributions to harmonic analysis and the theory of smooth dynamical systems.