Dmitrii Evgenevich Menshov (also spelled ''Men'shov'', ''Menchoff'', ''Menšov'', ''Menchov''; russian: Дми́трий Евгéньевич Меньшóв; 18 April 1892 – 25 November 1988) was a Russian

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

known for his contributions to the theory of

trigonometric series In mathematics, a trigonometric series is a infinite series of the form : \frac+\displaystyle\sum_^(A_ \cos + B_ \sin), an infinite version of a trigonometric polynomial. It is called the Fourier series of the integrable function f if the term ...

Biography

Dmitrii Menshov studied languages as a schoolboy, but from the age of 13 he began to show great interest in mathematics and physics. In 1911, he completed high school with a gold medal. After a semester at the Moscow Engineering School, he enrolled at

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 ...

in 1912 and became a student of

Nikolai Luzin Nikolai Nikolaevich Luzin (also spelled Lusin; rus, Никола́й Никола́евич Лу́зин, p=nʲɪkɐˈlaj nʲɪkɐˈlaɪvʲɪtɕ ˈluzʲɪn, a=Ru-Nikilai Nikilayevich Luzin.ogg; 9 December 1883 – 28 January 1950) was a Soviet/Ru ...

. In 1916, Menshov completed his dissertation on the topic of trigonometric series. He became a docent of Moscow State University in 1918. Soon after, he moved to

Nizhny Novgorod Nizhny Novgorod ( ; rus, links=no, Нижний Новгород, a=Ru-Nizhny Novgorod.ogg, p=ˈnʲiʐnʲɪj ˈnovɡərət ), colloquially shortened to Nizhny, from the 13th to the 17th century Novgorod of the Lower Land, formerly known as Gork ...

where he was appointed a professor of the Ivanovsky Pedagogical Institute. After a few years, he returned to Moscow in 1922 and began to teach at Moscow State University. In 1935, Menshov became a full professor of Moscow State University and was awarded the title of Doctor of Physical and Mathematical Sciences. He gave lectures at Moscow State University and also

Moscow State Pedagogical University Moscow State Pedagogical University or Moscow State University of Education is an educational and scientific institution in Moscow, Russia, with eighteen faculties and seven branches operational in other Russian cities. The institution had underg ...

in numerical analysis, complex functions, and differential equations to undergraduate and graduate students. In this position, he taught and influenced an entire generation of young up-and-coming Russian mathematicians and physicists, including such renowned scientists as his student Sergey Stechkin. He received the

USSR State Prize The USSR State Prize (russian: links=no, Государственная премия СССР, Gosudarstvennaya premiya SSSR) was the Soviet Union's state honor. It was established on 9 September 1966. After the dissolution of the Soviet Union, t ...

in 1951 and was elected to the position of corresponding member of the

Russian Academy of Sciences The Russian Academy of Sciences (RAS; russian: Росси́йская акаде́мия нау́к (РАН) ''Rossíyskaya akadémiya naúk'') consists of the national academy of Russia; a network of scientific research institutes from across t ...

in 1953. His construction of a

Fourier series A Fourier series () is a summation of harmonically related sinusoidal functions, also known as components or harmonics. The result of the summation is a periodic function whose functional form is determined by the choices of cycle length (or ''p ...

with non-zero coefficients which converges to zero

almost everywhere In measure theory (a branch of mathematical analysis), a property holds almost everywhere if, in a technical sense, the set for which the property holds takes up nearly all possibilities. The notion of "almost everywhere" is a companion notion to ...

gave rise to the theory of Menshov sets. He proved the Rademacher–Menchov theorem, the

Looman–Menchoff theorem In the mathematical field of complex analysis, the Looman–Menchoff theorem states that a continuous complex-valued function defined in an open set of the complex plane is holomorphic if and only if it satisfies the Cauchy–Riemann equations. I ...

, and the Lusin–Menchoff theorem. Menshov was an Invited Speaker of the ICM in 1928 in Bologna and in 1958 in Edinburgh.

References

External links

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(including picture) 1892 births 1988 deaths 20th-century Russian mathematicians Soviet mathematicians Mathematical analysts Moscow State University alumni Corresponding Members of the USSR Academy of Sciences {{Russia-mathematician-stub