Sergei Mikhailovich Nikolsky

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Sergei Nikolski 1997

Sergey Nikolsky ( Russian Сергей Михайлович Никольский , English transcription Sergey Mikhailovich Nikolsky or Nikolskii; born April 17, jul. / The thirtieth April  1905 greg. In Sawod Taliza , Perm province , today Sverdlovsk Oblast ; †  9. November 2012 in Moscow ) was a Russian mathematician.

Life

Nikolsky initially wanted to become an engineer and until 1929 attended the Institute for National Education in Yekaterinoslav (today Dnepropetrovsk University ). He then studied at Lomonosov University as a student of Andrei Kolmogorow . In the 1930s he worked at the University of Dnepropetrovsk and completed his habilitation at the Steklov Institute of Mathematics , where he then worked. Since 1948 he has also taught at the Moscow Institute of Physics and Technology (MIPT), where he gave lectures in 2005.

Nikolski dealt among other things with functional analysis and approximation theory . In 1951 he introduced the Nikolski spaces , discussed in detail in his book Approximation of functions of several variables and Imbedding Theorems . Building on this, his student Oleg Bessow introduced the Besov rooms in 1961 . Nikolski wrote an analysis textbook widely used in Russia (1st edition 1973).

In 1972 he became a member of the Soviet Academy of Sciences . He was a foreign member of the Polish Academy of Sciences . In 1954 he gave a plenary lecture at the International Congress of Mathematicians in Amsterdam (Some questions about the approximation of functions by polynomials) , in 1962 he was invited speaker at the International Congress of Mathematicians (ICM) in Stockholm ( On boundary properties of differentiable functions of several variables ).

He should not be confused with Nikolai Kapitonowitsch Nikolski , who also deals with analysis.

Fonts

  • Approximation of functions of several variables and imbedding theorems, Springer Verlag 1975 (Russian original Nauka, Moscow 1969)
  • Operators, functions and systems. An easy reading. Volume 1: Hardy, Hankel and Toeplitz, American Mathematical Society 2002
  • with Valentin Petrovich Il'in, Oleg Besov Integral representation of functions and embedding theorems , 2 volumes, Wiley 1978, 1979
  • Editor: Theory and applications of differentiable functions of several variables, American Mathematical Society 1967
  • Quadrature formulas, Delhi, Hindustan Publ. Corp. 1964
  • Course in Mathematical Analysis (Russian), 2 volumes, Nauka 1975
  • with Ya. S. Bugrov: Differential equations, multiple integrals, series, theory of functions of a complex variable, Mir Publ., Moscow 1983

literature

  • Entry in Siegfried Gottwald, Karl-Heinz Schlote, Hans-Joachim Ilgaud's Lexicon of Important Mathematicians , Teubner 1990

Web links

Individual evidence

  1. Death report on the website of the Moscow Steklov Institute
  2. See Albrecht Pietsch History of Banach spaces and linear operators , Birkhäuser 2007, p. 446