Gennady Mikhailovich Golusin

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Gennadi Mikhailovich Golusin , Russian Геннадий Михайлович Голузин , English transcription Gennadii Mikhailovich Goluzin, (* 24. January 1906 in Torzhok , Russian empire ; † 17th January 1952 in Leningrad , Soviet Union ) was a Russian mathematician who deals with geometric function theory dealt.

Life

Golusin studied from 1924 at the University of Leningrad , graduating in 1929. He received his habilitation there in 1936 with Vladimir Ivanovich Smirnov (Russian doctorate). and taught from 1938 as a professor at the University of Saint Petersburg. He was at the Leningrad Steklov Institute .

In the 1940s he founded the Leningrad School of Geometric Function Theory, an area to which he turned from the mid-1930s. After Golusin's death, the school and its seminar were run by his student Nikolai Andreevich Lebedew until 1982 . One of her late successes in the 1980s was the clarification of the validity of the proof of the Bieberbach conjecture by Louis de Branges (by Isaak Moissejewitsch Milin , EG Jemeljanow ( Russian Емельянов ), Galina Wassiljewna Kusmina and a few others) based on the work of Lebedev and Milin built (and on Loewner's method). Golusin himself worked a lot on simple functions (biholomorphic, injective) and the Bieberbach conjecture, using the methods of Charles Loewner and expanding them. He also took up Herbert Grötzsch's strip method at an early stage . His textbook on geometric function theory was first published in Russian in 1952 (2nd edition 1966) and was translated into German and English.

The variation principle of Golusin is named after him (he developed the methods of inner variation from Menahem Max Schiffer ) and the inequality of Golusin, Torsten Carleman and Krylow.

He edited a Russian translation of the classic analysis textbook by Edmund Taylor Whittaker and GN Watson A course in modern analysis .

Milin, Lebedew and Yuri Yevgenyevich Alenitsyn ( Russian Юрий Евгеньевич Аленицын , 1912-1993) were among his doctoral students .

In 1947 he received the State Prize of the USSR and in 1946 the Prize of the Leningrad University.

He was married to Antonina Chufistova and had three daughters who all became mathematicians. Among them is Jelena Golusina (EG Goluzina), who has a doctorate in maths at the Steklow Institute, also works in function theory and was at her father's seminar continued by Lebedev. Golusin and his family survived the blockade of Leningrad in World War II until the Steklov Institute was evacuated to Kazan, which continued until 1944.

Fonts

  • Geometrical function theory, university books for mathematics 31, Berlin: Deutscher Verlag der Wissenschaften, 1957
  • Internal problems in the theory of univalent functions, Uspekhi Mat. Nauka 1939 (Russian)

Web links

Individual evidence

  1. Gennadi Michailowitsch Golusin in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used