Anatoly Asirowitsch Goldberg

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Anatoly Goldberg, Leningrad 1982

Anatoli Asirowitsch Goldberg ( Russian Анатолий Асирович Гольдберг , Ukrainian Анатолій Асірович Гольдберг / Anatoly Asirowytsch Holdberh English transcription Anatolii Asirovich Goldberg; * 2. April 1930 in Kiev ; † 11. October 2008 in Netanya ) was from the Ukraine originating Israeli mathematician who is dealt with function theory .

Life

Goldberg was the son of a doctor. He grew up in Zaporizhia and was evacuated with his family during World War II . After the war the family went to Lviv . He studied mathematics at the National Iwo Franko University of Lemberg with the degree in 1952. Important for his development was here, among other things, Lev Wolkowiski (Lev Volkovyskii), a student of Mikhail Lavrentjew , who in the seminar on functional theory after the book by Rolf Nevanlinna about clear analytical functions. Another of his teachers was Ivan Sokolow (1903-1993). The dissertation was on the inverse problem in value distribution theory by Rolf Nevanlinna and led to important advances in this area, which he published in several papers up to 1954. As a Jew, he was unable to obtain a doctorate in the last phase of Stalin's rule (candidate title in the Soviet Union) and even after Stalin's death in 1953 he was only admitted to the examinations and the preparation of the dissertation as an external student. In 1955 he received his doctorate and one of the examiners, Boris Levin , then recommended him to the professor in Kharkiv Jossif Ostrowski , with whom he began a collaboration. After receiving his doctorate, he taught at Uzhhorod State University until 1965 , completed his habilitation in 1965 (Russian doctorate, title of the dissertation: The distribution of values ​​and asymptotic properties of whole and meromorphic functions) and was then professor in Lviv until his retirement in 1997. From 1997 he was a professor at the Bar Ilan University .

He dealt with geometric function theory, Riemann surfaces , whole and meromorphic functions and with value distribution theory , about which he wrote a standard work with Jossif W. Ostrowski. For example, he constructed meromorphic functions with an infinite number of defect values, solved the inverse problem of the Nevanlinna theory for a finite number of defect values, and developed an integration theory for sub-additive measures.

The Goldberg constants and various other mathematical terms and conjectures are named after him.

In 1992 he received the State Prize of Ukraine with Ostrowski and Boris Jakowlewitsch Lewin.

Fonts

  • with I. Ostrovskii: Distribution of values ​​of meromorphic functions . American Mathematical Society, 2008 (first Moscow, Nauka 1970)

literature

  • Alexandre Eremenko , I. Ostrovskii, M. Sodin: Anatolii Asirovich Gol'dberg . Complex Variables, Theory and Application, Volume 37, 1998, pp. 1-51, pdf

Web links

Individual evidence

  1. Anatoli Asirowitsch Goldberg in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. Walter Bergweiler, Alexandre Eremenko, Goldberg's constants , Journal d'Analyse Math., 119 (2013), 365-402, based on Goldberg's essay On a Set of Landau Type (Russian), Functional Analysis and its Applications, Volume 17, 1973 , Pp. 200–206 (Russian edition)