Cauchy Integral, published in 1918, marked a significant contribution to mathematical analysis by Ivan Privalov, who spent his career advancing the theory of analytic functions. Born in 1891 in Nizhny Lomov, he emerged as a central figure in Soviet mathematics during a period when the foundations of the discipline faced intensive scrutiny and rapid institutional transformation.
Academic Formation and Early Career
Privalov completed his studies at the Faculty of Physics and Mathematics of Moscow Imperial University between 1909 and 1913. During his formative years, he received mentorship from mathematicians Dmitri Egorov and Nikolai Luzin. He earned a master's degree from Moscow State University in 1916. Shortly thereafter, he transitioned to academic teaching, serving as a professor at Saratov State University from 1917 until 1922.
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Upon returning to Lomonosov Moscow State University in 1922, Privalov dedicated his research to analytic and subharmonic functions. His 1918 work, Cauchy Integral, expanded upon concepts established by Fatou. In 1934, he investigated subharmonic functions, extending the research previously conducted by Riesz. His collaborative efforts with Luzin further solidified his standing within the international mathematical community, leading to memberships in the French Mathematical Society and the Mathematical Circle of Palermo.
Institutional Recognition and Later Life
In 1939, Privalov was elected a corresponding member of the Academy of Sciences of the Soviet Union. His professional contributions were formally acknowledged in 1940 with the Order of the Red Banner of Labour. He continued his work at Lomonosov Moscow State University until his death in 1941. Privalov was interred at the Novodevichy Cemetery in Moscow, leaving behind a legacy of foundational texts including his 1937 work, Subharmonic Functions.
Fast facts
- Born: 1891, Nizhny Lomov
- Died: 1941, Moscow
- Education: Moscow Imperial University
- Key Publication: Cauchy Integral (1918)
- Professional Award: Order of the Red Banner of Labour (1940)
- Academic Member: Academy of Sciences of the Soviet Union
- Burial Site: Novodevichy Cemetery
Questions readers ask
What were Ivan Privalov's primary fields of research?
He focused on mathematical analysis, function theory, and the study of analytic and subharmonic functions.
Where did Privalov teach during his career?
He held teaching positions at Saratov State University from 1917 to 1922 and at Lomonosov Moscow State University from 1922 until 1941.
Achievements
- Order of the Red Banner of Labour — 1940
- Held posts at Lomonosov Moscow State University and Saratov State University
- Fields: mathematical analysis, function theory and mathematics
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