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

analytic function In mathematics, an analytic function is a function that is locally given by a convergent power series. There exist both real analytic functions and complex analytic functions. Functions of each type are infinitely differentiable, but complex ...

Biography

Privalov graduated from

Moscow State University M. V. Lomonosov Moscow State University (MSU; russian: Московский государственный университет имени М. В. Ломоносова) is a public research university in Moscow, Russia and the most prestigious ...

(MSU) in 1913 studying under

Dimitri Egorov Dmitri Fyodorovich Egorov (russian: Дми́трий Фёдорович Его́ров; December 22, 1869 – September 10, 1931) was a Russian and Soviet mathematician known for contributions to the areas of differential geometry and mathematic ...

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 The Academy of Sciences of the Soviet Union was the highest scientific institution of the Soviet Union from 1925 to 1991, uniting the country's leading scientists, subordinated directly to the Council of Ministers of the Soviet Union (until 1946 ...

(since 1939). Member of the French Mathematical Society (

Société Mathématique de France Lactalis is a French multinational dairy products corporation, owned by the Besnier family and based in Laval, Mayenne, France. The company's former name was Besnier SA. Lactalis is the largest dairy products group in the world, and is the sec ...

) and the Mathematical Circle of Palermo (

Circolo Matematico di Palermo The Circolo Matematico di Palermo (Mathematical Circle of Palermo) is an Italian mathematical society, founded in Palermo by Sicilian geometer Giovanni B. Guccia in 1884.

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 Riesz may refer to: * Frigyes Riesz (1880–1956), Hungarian mathematician * Marcel Riesz (1886–1969), Hungarian and Swedish mathematician, younger brother of Frigyes Riesz See also

* Riesz (Trials of Mana), Riesz, the fictional Amazon war ...

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, ). * I. I. Privalov, ''Boundary Properties of Analytic Functions'', 2nd ed., GITTL, Moscow-Leningrad, 1950.

External links

* . * . * P. I. Kuznetsov and E. D. Solomentsev (1982)
"Ivan Ivanovich Privalov (ninety years after his birth)"
''Russ. Math. Surv.'' 37: 152-174.

References

{{DEFAULTSORT:Privalov, Ivan 1891 births 1941 deaths People from Nizhnelomovsky District 20th-century Russian mathematicians Complex analysts Mathematical analysts Corresponding Members of the USSR Academy of Sciences