Dmitri Yevgenevich Menshov

Dmitri Jewgenjewitsch Menshov ( Russian Дмитрий Евгеньевич Меньшов ; English transcription Dmitrii Evgenevich Menshov; born April 6, ^jul. / 18th April 1892 ^greg. In Moscow ; † 25. November 1988 ) was a Russian mathematician who is primarily concerned with real Analysis employed .

Menshov was the son of a doctor and studied from 1912 at the Lomonossow University with Dmitri Yegorow and Nikolai Nikolayevich Lusin . Before graduating, he published his first work and thus solved a problem posed by Lusin (relationship of the Borel integral to the Denjoy integral, Menschow showed that the Borel integral is a special case of the Denjoy integral). In 1916 he made his diploma with a thesis on Riemann's theory of Fourier series . In 1918 he received his doctorate and became a professor in Nizhny Novgorod and a little later in Ivanovo at the Pedagogical Institute and also taught at the Polytechnic Institute. From 1921 he taught at Lomonosov University and other Moscow universities. Although he had not formally completed his habilitation (Russian doctoral degree), he received the Russian doctorate degree for his published work in 1935 and became a professor at Lomonosov University. In 1927 he visited Paris on a Rockefeller grant, where he took part in the seminar of Jacques Hadamard . In 1941 he received the chair for function theory as the successor to Iwan Iwanowitsch Priwalow , from 1943 combined with the chair for functional analysis. From 1934 to 1941 and from 1947 he was also at the Steklow Institute .

In 1916 he proved by giving an example that a Fourier series which converges to zero except for places from a set of measure zero can have non-vanishing Fourier coefficients. Georg Cantor had previously shown that the coefficients vanish for Fourier series which converge to zero except for a countable number of places. In addition to real analysis, he also dealt with complex analysis.

In 1951 he received the Soviet State Prize . In 1953 he became a corresponding member of the Soviet Academy of Sciences . In 1958 he was invited speaker at the ICM in Edinburgh (on the convergence of trigonometric series ).

Fonts

Les conditions de monogénéité , Paris, Hermann, 1936
Limits of indeterminacy in measure of T-means of subseries of a trigonometric series , American Mathematical Society, 1968, 1981
Selected Works , Moscow 1997 (Russian)

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personal data
SURNAME	Menshov, Dmitri Evgenyevich
ALTERNATIVE NAMES	Menʹšov, Dmitrij Evgenʹevič; Меньшов, Дмитрий Евгеньевич (Russian)
BRIEF DESCRIPTION	Russian mathematician
DATE OF BIRTH	April 18, 1892
PLACE OF BIRTH	Moscow
DATE OF DEATH	November 25, 1988