Naum Akhiezer

Naum Ilyich Achijeser ( born March 6, 1901 in Tscherykau, today Belarus, † June 3, 1980 in Kharkiv ) was a Russian or Ukrainian mathematician who worked on functional analysis and approximation theory.

Life and work

Naum Ilyich Achijeser studied until 1924 in Kiev, was there a doctorate in 1928 with Dmitry Grawe and taught afterwards until 1933 in Kiev, and then at the Polytechnic and in 1956 at the University of Kharkiv. He worked in the tradition of Pafnuti Lvovitch Chebyshev, Andrei Markov and Yegor Ivanovich Zolotarev with the approximation of functions. His textbook also received the Chebyshev Prize. From 1935 he studied extremal problems in various function spaces, some with Mark Grigoryevich Krein. With Sergei Bernstein, he worked on completeness of spanned by sets of polynomials function rooms. Another field of work was the theory of moments, namely the question of how to reconstruct a measure of the values ​​of the educated with this measure integrals of certain functions (eg power functions ) - 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 a 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.

Writings

  • With IM Glazman: Theory of linear operators in Hilbert space. 8th edition, Harri German 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. Ungar 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).
  • Academician S.Bernstein and his work on the constructive theory of functions. Releases Mathem.Seminar casting 2000 ( translation of the Russian original 1955).
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