Sergei Vasilyevich Fomin

Sergei Fomin was a redirect to this article. On the mathematician (* 1958) see Sergey Fomin .

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

Fomin was the son of a medicine professor at Lomonosov University . As a schoolboy he attended mathematics courses at Lomonosov (also on the recommendation of Sergei Alexejewitsch Tschaplygin , a friend of the family) and began studying there at the age of 16. At the age of 19 he published his first work on group theory. After graduating in 1939, he conducted research for his doctoral thesis with Andrei Kolmogorow . Even before his dissertation, he published a work on general topology in 1940 at the suggestion of Pawel Alexandrow , in which he gave a simpler proof than Marshall Stone (from 1935) for a conjecture by Alexandrow and Pawel Urysohn on criteria for the compactness of Hausdorff spaces . In World War II he was a soldier, but received his doctorate (candidate title) in 1942 with Kolmogorow in Kazan , where the Steklov Institute from Moscow had been evacuated. After the war he completed his habilitation in 1951 with Andrei Nikolajewitsch Tichonow at Lomonossow ( On dynamic systems with invariant measure ), where he became a professor in 1953. He died in Vladivostok while lecturing at a summer school there.

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

Fonts

• with Andrei Kolmogorow: Elements of the theory of functions and functional analysis. 2 volumes. 1954, 1960 (Russian), other Russian editions 1976, 1989, English translation: Vol. 1: Metric and Normed Spaces. Vol. 2: Measure, the Lebesgue Integral, Hilbert Space. Graylock Press 1957, 1961, reprinted in one volume: Dover 1999
• with Andrei Kolmogorow: Introductory real analysis. Englewood Cliffs 1970.
• with Andrei Kolmogorow: Real functions and functional analysis (= university books for mathematics . Vol. 78). Berlin, Deutscher Verlag der Wissenschaften 1975.
• with Andrei Kolmogorow: Measure, Lebesgue Integral and Hilbert Space. Academic Press, 1961.
• with MB Berkinblit: Mathematical problems in biology. Nauka, Moscow 1973 (Russian).
• with Boris Michailowitsch Budak: Multiple integrals, field theory and series. An advanced course in higher mathematics. MIR, Moscow 1973.
• with Isaak Pawlowitsch Kornfeld, Jakow Sinai : Ergodic Theory. Springer, 1982.
• with Wladimir Michailowitsch Alexejew, VM Tichomirow: Optimal Control. Consultants Bureau, Washington DC 1987.
• with Juri Lwowitsch Daletskij: Measures and Differential equations in infinite dimensional space. Kluwer 1991.
• with Israel Gelfand: Calculus of Variations. Prentice-Hall 1963, Dover 2000.

Web links

• Literature by and about Sergei Wassiljewitsch Fomin in the catalog of the German National Library
• John J. O'Connor, Edmund F. Robertson :  Sergei Wassiljewitsch Fomin. In: MacTutor History of Mathematics archive .