Sergei Fomin

Sergei Vasilyevich Fomin (Russian Сергей Васильевич Фомин; born December 9, 1917 in Moscow, † August 17, 1975 in Vladivostok ) was a Russian mathematician who worked mainly with functional analysis and general topology.

Fomin was the son of a medical professor at the Moscow State University. While still a student he attended mathematics courses at the Lomonosov ( and on the recommendation of Sergei Alexeyevich Chaplygin, a friend of the family) and began 16 years there to study. At age 19, he published his first work on group theory. After graduating in 1939, he conducted research for his doctoral thesis at Andrei Kolmogorov. Even before his dissertation he published in 1940 a work on general topology at the suggestion of Pavel Alexandrov, in which he gave a simpler proof as Marshall Stone ( 1935 ) for a conjecture of Alexandrov and Pavel Urysohn on criteria for the compactness of Hausdorff spaces. During World War II he was a soldier, a Ph.D. ( candidate items) but 1942 Kolmogorov in Kazan, where the Steklov Institute was evacuated from Moscow. After the war, he completed his habilitation in 1951 Andrei Nikolaevich Tikhonov at the Lomonosov ( About dynamical systems with invariant measure ), where he became professor in 1953. He died in Vladivostok, as he held there on a summer school lectures.

Fomin worked among other things in the early 1950s with Israel Gelfand representation on the application of infinite dimensional Lie groups to dynamic systems and dealt with ergodic theory and control theory. From the late 1950s he also looked as head of a laboratory with appropriate applications of mathematics in biology, for example in questions of artificial intelligence and robotics, or equations for the propagation of nerve pulses. From the mid- 1960s he also turned to problems of functional analysis, which were inspired by questions of the mathematical foundations of quantum mechanics.

There is also another Russian -US American mathematician Sergei Fomin (born 1958 ), see Sergey Fomin.

Writings

  • With MB Berkinblit: Mathematical problems in biology, Moscow, Nauka, 1973 ( Russian)
  • With Andrei Kolmogorov: Elements of the theory of functions and functional analysis, 2 volumes, 1954, 1960 (in Russian ), other Russian editions in 1976, 1989, English translation Vol.1 ( Metric and Normed Spaces ), Vol.2 (Measure, the Lebesgue integral, Hilbert Space), Graylock Press 1957, 1961, Reprint in one volume: Dover 1999
  • With Kolmogorov: Introductory real analysis, Englewood Cliffs 1970
  • With Kolmogorov: Real functions and functional analysis, German VEB Verlag der Wissenschaften, Berlin 1975
  • With Kolmogorov: Measure, Lebesgue integral and Hilbert Space, Academic Press 1961
  • With Vladimir Mikhailovich Alekseev, VM Tikhomirov: Optimal Control, Washington DC, Consultants Bureau 1987
  • With Isaac Pavlovich Kornfeld, Yakov Sinai, Ergodic Theory, Springer 1982
  • With Yuri Lvovitch Daletskij: Measures and differential equations in infinite dimensional space, Kluwer 1991
  • With Israel Gelfand: Calculus of Variations, Prentice- Hall 1963, Dover 2000
  • Boris Mikhailovich Budak: Multiple integrals, field theory and series: an advanced course in higher mathematics, Moscow, MIR 1973
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