Ivan Ivanovich Privalov

Ivan Privalov , Russian Иван Иванович Привалов , (* January 30 ^jul. / 11. February  1891 ^greg. In Nizhny Lomov , Penza province ; †  13. July 1941 in Moscow ) was a Russian mathematician who primarily with complex analysis and real analysis .

Privalov was the son of a merchant and went to school in Nizhny Novgorod . He studied from 1909 with Dmitri Jegorow and Nikolai Nikolajewitsch Lusin at the Lomonossow University . In 1913 he graduated and taught after graduating in 1916 at the Lomonossow University. In 1917 he became a professor at Saratov University . In 1922 he was back in Moscow at Lomonossow, where he became a professor of function theory. At the same time he taught at the Air Force Academy from 1923. In 1935 he received his Russian doctorate (without having to defend it).

Priwalow investigated analytical functions near singular points with methods of measure theory and the Lebesgue integral (as they have been cultivated in the Lusin school in exchange with the French school of real analysis since the beginning of the 20th century), investigated the marginal behavior of analytical functions (starting with his book on the Cauchy integral from 1918, which was originally intended as a dissertation and takes up the work of Pierre Fatou ) and studied subharmonic functions following Frigyes Riesz . He published several works with his teacher Lusin. His introduction to function theory, which, like his book on analytical geometry (with Lusin, first in 1927) was widely used in Russia, was also translated into German.

He proved that the mappings of analytical functions with rectifiable margins on these margins are angle-preserving ( conformal ) almost everywhere .

Grave in Moscow

From 1939 he was a corresponding member of the Soviet Academy of Sciences . From 1936 he was Vice President of the Moscow Mathematical Society .

Fonts

• Edge properties of analytical functions (= university books for mathematics . Vol. 25). Deutscher Verlag der Wissenschaften, Berlin 1956 (Russian first 1941).
• Introduction to function theory. 3 volumes. Teubner 1958, 1959, 3rd edition 1967 (Russian first 1927, 11th edition 1967).
• The Cauchy integral. Saratov 1918 (Russian).
• Subharmonic functions. Moscow, Leningrad 1937 (Russian).
• with Lusin: Analytical Geometry. Moscow 1927, 30th edition 1966 (Russian).

Web links

• John J. O'Connor, Edmund F. Robertson :  Iwan Iwanowitsch Priwalow. In: MacTutor History of Mathematics archive .
• Biography of Yushkevich
• Privalov's Theorem, Springer Online Reference
• Privalov-Golubev Theorem at Springer Online Reference

Individual evidence

1. ↑ Academic titles were not awarded in the meantime in the early Soviet Union
2. ↑ In Russia he had a direct predecessor in Vladimir Vasilievich Golubew , a theorem is named after both