Dmitri Abramowitsch Raikow

Dmitri Abramowitsch Raikow , Russian Дмитрий Абрамович Райков (born November 11, 1905 in Odessa , † 1980 in Moscow ) was a Russian mathematician who dealt with functional analysis .

Raikow studied in Odessa and Moscow with the degree in 1929. He was secretary of the Komsomol at the Moscow State University and 1929/30 active in the campaign against the mathematician Dmitri Fyodorowitsch Jegorow . At that time, he and his colleagues also rejected non-applied research, but that soon changed. In 1933 he was dismissed from the Communist Party on charges of Trotskyism and exiled to Voronezh , but was rehabilitated two years later and returned to Moscow. From 1938 to 1948 he was at the Mathematical Institute of the Academy of Sciences and in the militia during World War II. He was trained in 1941 with Alexander Jakowlewitsch Chintschin at the Lomonossow UniversityHabilitation (Russian doctorate) and professor in 1950. He taught at the Pedagogical Institute in Kostroma and from 1952 in Shuysky before teaching at the Moscow State Pedagogical University from 1957. He also supervised students and taught at Lomonosov University.

The theorem of Israel Gelfand and Raikow from 1943 says that a locally compact group is completely determined by its (possibly infinite-dimensional) irreducible unitary representations : for every two elements of there is an irreducible unitary representation with . ${\ displaystyle G}$ ${\ displaystyle g, h}$ ${\ displaystyle G}$ ${\ displaystyle \ rho}$ ${\ displaystyle \ rho (g) \ neq \ rho (h)}$

He also dealt with probability theory , for example in 1938 he proved an analogue of Cramér's theorem for the Poisson distribution .

He edited the Russian editions of Nicolas Bourbaki's "Topology and Integration Theory" and translated numerous other mathematical works from Italian, English and German, for example the lectures on the theory of algebraic numbers by Erich Hecke and Modern Algebra by Bartel Leendert van der Waerden , the tasks and theorems from analysis by George Pólya and Gábor Szegő , the introduction to the theory of Fourier integrals by Edward Charles Titchmarsh , the lectures on partial differential equations by Francesco Tricomi , the introduction to differential and integral calculus by Edmund Landau , the monograph on divergent series by Godfrey Harold Hardy and the finite-dimensional vector spaces by Paul Halmos .

Fonts (selection)

with Israel Gelfand , Georgi Evgenjewitsch Schilow : Commutative standardized algebras, Berlin, Deutscher Verlag der Wissenschaften 1964 (first Russian 1960)
with Gelfand: Commutative Normalized Rings (Russian), Uspekhi Mat. Nauka, 1946
Vector spaces, Groningen: Noordhoff 1965 (first Russian 1962)
with MS Tsalenko, VB Gisin: Ordered categories with involution, Warsaw, Math. Institut Akad. Wiss. 1984
One-dimensional mathematical analysis (Russian), Moscow 1982
with E. Gusatinskaia: Analyze mathématique multidimensionnelle, Moscow: MIR 1993 (first as multidimensional mathematical analysis (Russian), Moscow 1989)
with Ilja Nikolajewitsch Bronschtein : Handbook for elementary mathematics, physics and mechanics (Russian), Moscow 1943
with Boris Nikolajewitsch Delone : Analytical Geometry (Russian), 2 volumes, Moscow 1948, 1949

Web links

mathnet.ru

Individual evidence

↑ Dmitri Abramowitsch Raikow in the Mathematics Genealogy Project (English)
↑ Gelfand, Raikov, Irreducible unitary representations locally bicompact groups (Russian), Mat. Sbornik, NS, Volume 13, 1943, pp 301-316
↑ Gelfand-Raikov theorem , ncat lab

personal data
SURNAME	Raikow, Dmitri Abramowitsch
ALTERNATIVE NAMES	Райков, Дмитрий Абрамович
BRIEF DESCRIPTION	Russian mathematician
DATE OF BIRTH	November 11, 1905
PLACE OF BIRTH	Odessa
DATE OF DEATH	1980
Place of death	Moscow

[1] Dmitri Abramowitsch Raikow in the Mathematics Genealogy Project (English)

[2] Gelfand, Raikov, Irreducible unitary representations locally bicompact groups (Russian), Mat. Sbornik, NS, Volume 13, 1943, pp 301-316

[3] Gelfand-Raikov theorem , ncat lab