Ivan Ivanovich Privalov (11 February 1891, Nizhniy Lomov, Penza guberniya — 13 July 1941, Moscow) was a Russian mathematician best known for his work on analytical functions.

[edit] Biography

Privalov graduated from Moscow State University (MSU) in 1913 studying under Dimitri Egorov and Nikolai Lusin. He obtained his Master 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).

[edit] 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.

[edit] PhD students

• Samarii Aleksandrovich Galpern.

[edit] Publications

[edit] 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.

[edit] See also

• Luzin–Privalov theorems ^[1].

[edit] External links

• Ivan Privalov at the Mathematics Genealogy Project.
• O'Connor, John J.; Robertson, Edmund F., "Ivan Privalov", MacTutor History of Mathematics archive, http://www-history.mcs.st-andrews.ac.uk/Biographies/Privalov.html ..
• P. I. Kuznetsov and E. D. Solomentsev (1982). "Ivan Ivanovich Privalov (ninety years after his birth)" Russ. Math. Surv. 37: 152-174.

[edit] References