Ivan Privalov

Ivan Ivanovich Priwalow (Russian: Иван Иванович Привалов, Ivan Ivanovich Privalov English transcription; born February 11, 1891 in Nizhny Lomov, Penza Governorate, † July 13, 1941 in Moscow) was a Russian mathematician who worked primarily with function theory and real analysis.

Priwalow was the son of a merchant and went to school in Nizhny Novgorod. He studied from 1909 with Dmitri Egorov and Nikolai Nikolaevich Luzin at the Moscow State University. In 1913 he received his degree and taught after graduating in 1916 at the Moscow State University. In 1917 he became a professor at the University of Saratov. In 1922, he was in Moscow at the Lomonosov again and became professor of function theory. At the same time he taught from 1923 at the Air Force Academy. In 1935, he received his Russian doctoral degree ( without having to defend them).

Priwalow examined analytic functions near singular points with methods of measure theory and the Lebesgue integral (as they were maintained in the Lusin school in exchange with the French school of real analysis since the early 20th century ), studied the boundary behavior of analytic functions (starting with its originally intended as a dissertation paper on the Cauchy integral of 1918, the work of Pierre Fatou picks ) and studied subharmonic functions in connection to Frigyes Riesz. He published several works with his teacher Lusin. His introduction to the theory of functions, in Russia as well as his book on analytic geometry ( with Lusin, first in 1927 ) became widespread, was also translated into German.

He proved that the images of analytic functions with edges rectifiable on these edges almost everywhere angle-preserving ( conformal) are.

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

Writings

• Boundary properties of analytic functions, Berlin, German Academic Publishers, 1956 ( Russian first 1941)
• Introduction to the theory of functions, 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 (in Russian )
• With Lusin: Analytic Geometry, Moscow 1927, 30th edition, 1966 ( Russian)