Shilov, George Evgenievich

Georgy Shilov was born on February 3, 1917 in the city of Ivanovo-Voznesensk, while his father, Evgeny Alekseevich Shilov , was a student at Moscow State University. Mother, Anna Alexandrovna Frolova, was a member of the Bolshevik Party since 1907, was exiled to Vologda province in 1911-12, later participated in the Civil War as a political worker of the Southern Front, after the victory of the revolution she headed the party office of the Moscow Committee of the CPSU (B) and worked as an assistant professor at the Marx-Engels Institute under the Central Committee of the CPSU (b). G. Ye. Shilov did not know his father, because his mother separated from him around 1919 and from 1921 to 1930 was married to Georgy Gustavovich Bosse , a botanist scientist, later a professor who worked in the Department of Nature Reserves under the USSR Council of Ministers . Before the death of his mother in 1937, G. E. Shilov bore the name of Yuri Georgievich Bosse, but, finding his birth certificate in his mother’s documents, he returned to himself the name obtained at birth — under which he remained in the history of Soviet mathematics. The episode of the name change was reflected in his biography while working at the Taras Shevchenko Kiev State University in 1950-1954, when some colleagues in the faculty wrote denunciations of him accusing him of "cosmopolitanism."

G. E. Shilov first graduated from the seven-year school, then the chemical technical school and in 1938 the Faculty of Mechanics and Mathematics of Moscow State University . He studied in the same group with Z. Ya. Shapiro and B. L. Gurevich . ^[2]

Member of the Great Patriotic War ^[3]

In 1951 he became a doctor of physical and mathematical sciences. Since 1952 - Professor.

In 1946 - 1950 he worked at Moscow State University. In 1951 - 1954 - in Kiev University . In 1954 - returned to Moscow State University.

Works on the theory of functions of a real variable , functional analysis (the theory of commutative Banach algebras (normed rings)).

His collaboration with his teacher I. M. Gelfand was particularly fruitful, in particular the series of works on the theory of generalized functions and the theory of partial differential equations .

Also important are his works in the field of classical analysis, Fourier series . Shilov was of great importance in teaching mathematics — many of his textbooks, such as, for example, “Analysis III” (Mathematical analysis. Special course) and “Analysis IV” (Mathematical analysis. 2nd special course) became classical and were published in abroad. He also studied the history and methods of mathematics.

• G. Ye. Shilov. Introduction to the theory of linear spaces -M.: Gostekhizdat, 1956
• Shilov G. E., Gurevich B. L. Integral, measure and derivative - M.: Science, 1967
• Shilov G., E., Fan Duc Tin Integral, measure and derivative on linear spaces -M.: Science, 1967
• Gelfand I.M., Raikov D.A., Shilov G.E. Commutative normed rings -M.: Fizmatgiz, 1960
• Shilov G.E. Mathematical analysis. Special course - M.: Fizmatgiz, 1961
• Shilov G. Ye . Mathematical analysis. 2nd special course - M..: Science, 1965
• Shilov G.E. Mathematical analysis. Finite-dimensional linear spaces -M.: Science, 1969
• Shilov G.E. Mathematical analysis. Functions of one variable. In 3 hours. Part 1-2 -M.: Science, 1969, Part 3 -M.: Science, 1970
• Shilov G.E. Mathematical analysis. Functions of several real variables. In 3 hours. Part 1-2 - M.: Science, 1972 (Part 3 did not come out)
• Gelfand I. M., Shilov G. E. Generalized functions and actions on them (Generalized functions, issue 1) -M.: Fizmatgiz, 1958
• Gelfand I. M., Shilov G. E. Spaces of basic generalized functions (Generalized functions, issue 2) -M.: Fizmatgiz, 1958
• Gelfand I.M., Shilov G.E. Some Questions in the Theory of Differential Equations (Generalized Functions, Issue 3) -M.: Fizmatgiz, 1958
• Shilov G. Ye. Simple gamma. The device is a musical scale. How to build graphics -M.: Science, 1978
• Georgi E. Shilov Integral, Measure, and Derivative: A Unified Approach. Dover Pubns (June 1977), ISBN 0-486-63519-8 , ISBN 978-0-486-63519-4
• Georgi E. Shilov Generalized Functions and Partial Differential Equations. Gordon and Breach Science Publishers Inc. (1968), ASIN: B000NZWURI

• Shilov algebra
• Ilyenkov, Evald Vasilievich

• Rosenfeld B. А. Memoirs on the Soviet mathematicians // Historical and mathematical research . Institute of the History of Science and Technology. S.I. Vavilova RAN : collection. - M .: Janus LLP, 1995. - Vol. 36 , No. 1 . - p . 143-144 . - ISBN 5-88929-007-X .
• P. S. Aleksandrov, I. M. Gelfand, E. A. Gorin, V. V. Grushin, A. N. Kolmogorov, O. A. Oleinik, V. P. Palamodov, S. V. Fomin, “ George Yevgenyevich Shilov (obituary), ”UMN, 31: 1 (187) (1976), 217–228.

• Feedback from G. E. Shilov to the lecture by M. M. Postnikov