Примери за използване на Carleman на Английски и техните преводи на Български
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Carleman died on 11 January 1949 in Stockholm.
During his last years Carleman suffered from bad health.
Carleman published five books and sixty papers in mathematics.
From the beginning of the 1920s Carleman was considered the best mathematician in Sweden.
Carleman was invited to lecture on this subject at the College of France in April-May 1923.
During the last period of his life Carleman lived alone in two rooms of the Mittag-Leffler Institute.
Carleman was a remarkable person and there are many stories concerning him(see Kjellberg, Garding).
In this respect his analysis is comparable in thoroughness with that of Carleman, Hardy, Hilbert and Schmidt.
From 1927 Carleman became an editor of Acta Mathematica.
My older friends in Uppsala used to tell me about the wonderful years they had had when Carleman was there.
This is called Carleman linearization or Carleman embedding.
There are especially two areas of research, going back to this time,which one can consider as principal works of Carleman.
In June 1947 Carleman participated in a CNRS meeting in Nancy and presented his theory there.
The unique continuationresults as Holmgren and Hörmander theorems are based on a certain type of weighted energy estimate which was introduced by Carleman.
In 1935 Carleman himself lectured at the Mittag-Leffler Institute on a generalization of the Fourier transformation.
As it is often the case with mathematicians who deal with differential orintegral equations, Carleman carried a keen interest in the relationship between mathematics and applied sciences.
Carleman is also one of the authors of a mean ergodic theorem(see[17], where more is written about priority questions).
When people left the seminar andon the way to the restaurant"Rullan" they had to cross the Fyris River, Carleman did not just walk over the bridge, instead he walked on his hands on the railing.
Carleman had good relations with many mathematicians, visiting and giving lectures at, Zürich, Göttingen, Oxford, Sorbonne, Nancy and Paris.
After Mittag-Leffler 's death in 1927, Carleman, who was considered to be the top Swedish mathematician of the time, was appointed as the first director of the Mittag-Leffler Institute.
Carleman, giving a memorial address after death of Mittag-Leffler in 1927, told anecdotes about him and the famous benefactor Alfred Nobel see, p.
It is certain that Carleman felt that he was the equal of the best mathematicians but also that he was not appreciated according to his merit.
Carleman wrote also a Textbook in differential and integral calculus together with geometrical and mechanical applications, Stockholm 1928(2nd ed. 1945).
In complex analysis there are Carleman formulae(proved already in 1926) which, unlike the Cauchy formula, reconstruct a function holomorphic in a domain D from its values on a part M of the boundary D of a positive Lebesgue measure.
Carleman lectured at the Sorbonne in 1937 on Boltzmann 's equation, which appears in the kinetic theory of gas, and published several papers on this subject.
In 1932 Carleman, following an idea of Poincaré, showed that a finite dimensional system of nonlinear differential equations d u/dt= V(u), where Vk are polynomials in u, can be embedded in an infinite system of linear differential equations.
However, Carleman was not able to realize plans for a Mathematics Institute, in part because of lack of funds and in part because his personality was more suited to mathematical contemplation than to the kind of entrepreneurship needed to get an Institute off the ground.