Ivan Privalov

This article is about the Russian mathematician. For the Soviet soccer player, see Ivan Privalov (footballer).

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

Ivan Privalov
Born	(1891-02-11)11 February 1891 Nizhny Lomov, Russian Empire
Died	13 July 1941(1941-07-13) (aged 50) Moscow, Soviet Union
Alma mater	Moscow State University
Known for	Works on analytical functions, Luzin-Privalov theorems.
Scientific career
Fields	Mathematics
Institutions	Imperial Saratov University (1917–1922) Moscow State University (1922–1941)
Doctoral advisor	Dmitri Egorov Nikolai Luzin

Biography

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

He was elected a corresponding member of the Academy of Sciences of the Soviet Union in 1939. He was also a 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

• Samary 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]

External links

• Ivan Privalov at the Mathematics Genealogy Project.
• O'Connor, John J.; Robertson, Edmund F., "Ivan Privalov", MacTutor History of Mathematics Archive, University of St Andrews.
• P. I. Kuznetsov and E. D. Solomentsev (1982). "Ivan Ivanovich Privalov (ninety years after his birth)" Russ. Math. Surv. 37: 152-174.