Ivan Privalov

Ivan Ivanovich Privalov (Russian: Ива́н Ива́нович Привáлов; 11 February 1891 – 13 July 1941) was a Russian mathematician best known for his work on analytic functions.

This article is about the Russian mathematician. For the Soviet soccer player, see Ivan Privalov (footballer).
Ivan Privalov
Born(1891-02-11)11 February 1891
Nizhniy Lomov, Penza guberniya, Russia
DiedJuly 13, 1941(1941-07-13) (aged 50)
Moscow, USSR
NationalityRussian
CitizenshipRussia, USSR
Alma materMoscow State University
Known forworks on analytical functions, Luzin-Privalov theorems.
Scientific career
FieldsMathematics
InstitutionsImperial Saratov University (1917–1922)
Moscow State University (1922–1941)
Doctoral advisorDmitri Egorov

Biography

Privalov graduated from Moscow State University (MSU) in 1913 studying under Dimitri Egorov and Nikolai Lusin. He obtained his master's degree from MSU in 1916 and became Professor at Imperial Saratov University (1917—1922). In 1922 he was appointed as Professor at MSU and worked there for the rest of his life.

Corresponding member of the USSR Academy of Sciences (since 1939). Member of the French Mathematical Society (Société Mathématique de France) and the Mathematical Circle of Palermo (Circolo Matematico di Palermo).

Research work

Privalov wrote Cauchy Integral (1918) which built on work by Fatou. He also worked on many problems jointly with Luzin. In 1934 he studied subharmonic functions, building on the work of Riesz.

PhD students
  • Samarii Aleksandrovich Galpern.

Publications

Books
  • I. I. Privalov, Subharmonic Functions, GITTL, Moscow, 1937.
  • I. I. Privalov, Introduction to the Theory of Functions of a Complex Variable, GITTL, Moscow-Leningrad, 1948 (14n ed: 1999, ISBN 5-06-003612-X).
  • I. I. Privalov, Boundary Properties of Analytic Functions, 2nd ed., GITTL, Moscow-Leningrad, 1950.

See also
  • Luzin–Privalov theorems[1]

References
  1. Solomentsev, E.D. (2001) [1994], "Luzin–Privalov theorems", in Hazewinkel, Michiel (ed.), Encyclopedia of Mathematics, Springer Science+Business Media B.V. / Kluwer Academic Publishers, ISBN 978-1-55608-010-4
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