Naum Ilyich Achijeser

Naum Ilyich Achijeser (born March 6, 1901 in Tscherykau , today Belarus ; † June 3, 1980 in Charkow , Ukrainian SSR ) was a Russian or Ukrainian mathematician who dealt with functional analysis and approximation theory.

Live and act

Naum Iljitsch Achijeser studied in Kiev until 1924 , received his doctorate there in 1928 under Dmitrij Grawe and then taught in Kiev until 1933 and then at the Polytechnic and from 1956 at the University of Kharkiv . In the tradition of Pafnuti Lwowitsch Tschebyschow , Andrei Andrejewitsch Markow and Jegor Iwanowitsch Solotarjow he dealt with the approximation of functions. His textbook on it received the Chebyshev Prize. From 1935 he investigated extreme problems in various functional rooms, partly with Mark Grigoryevich Kerin . He worked with Sergei Bernstein on completeness of function spaces spanned by sets of polynomials. Another field of work was the theory of moments, i.e. the question of how a measure can be reconstructed from the values of the integrals of certain functions (e.g. power functions) formed with this measure - originally a problem of probability theory.

Achijeser founded in Kharkiv own school of the theory of real functions, was president of the Mathematical Society in Kharkiv and member of the National Academy of Sciences of Ukraine .

His students include Israel Markowitsch Glasman and Boris Levitan .

He should not be confused with his brother, the theoretical physicist Alexander Ilyich Achijeser .

Fonts

with IM Glazman: Theory of linear operators in the Hilbert space. 8th edition, Harri Deutsch 1981 (also Akademie Verlag, Berlin, first 1954).
The classical moment problem and some related problems in analysis. Edinburgh, Oliver and Boyd 1965.
Lectures on approximation theory. Akademie Verlag, 1953, 2nd edition 1967.
Theory of approximation. Hungarian 1956.
Calculus of Variations. Blaisdell 1962, Harwood 1988.
Lectures on Integral Transform. AMS 1988.
Elements of the theory of elliptic functions. AMS 1990 (Russian 1970).
The academician S. Bernstein and his work on constructive function theory. Communications Mathem.Seminar Gießen 2000 (translation of the Russian original 1955).

Web links

personal data
SURNAME	Achijeser, Naum Ilyich
ALTERNATIVE NAMES	Achiezer, Naum; Ахиезер, Наум Ильич (Russian)
BRIEF DESCRIPTION	Soviet mathematician
DATE OF BIRTH	March 6, 1901
PLACE OF BIRTH	Cherkau
DATE OF DEATH	3rd June 1980
Place of death	Kharkov , Ukrainian SSR