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# Dmitrii Menshov

Dmitrii Evgenevich Menshov, also spelled Menchoff, Menšov, Menchov, (Russian: Дмитрий Евгеньевич Меньшов; 18 April 1892 – 25 November 1988) was a Russian mathematician known for his contributions to the theory of trigonometric series.

Biography

He was a student of Nikolai Luzin, and the co-advisor of Sergey Stechkin. He received USSR State Prize in 1951. He was elected a corresponding member of the Russian Academy of Sciences in 1953.

His construction of a Fourier series with non-zero coefficients which converges to zero almost everywhere gave rise to the theory of Menshov sets.

He proved the Rademacher–Menchov theorem, the Looman–Menchoff theorem, and the Lusin–Menchoff theorem.

References

Vinogradova, I. A.; Vladimirov, V. S.; Gonchar, A. A.; et al. (1989), "Dmitrii Evgen'evich Men'shov", Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo. Uspekhi Matematicheskikh Nauk 44 (5): 149–151, doi:10.1070/RM1989v044n05ABEH002213, ISSN 0042-1316, MR1040273

External links

O'Connor, John J.; Robertson, Edmund F., "Dmitrii Menshov", MacTutor History of Mathematics archive, University of St Andrews.

Dmitrii Menshov at the Mathematics Genealogy Project

Mini Biography – from the Russian Academy of Sciences (including picture)

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