Mark Naimark

Mark Aronowitsch Neumark ( also Naimark, Russian Марк Аронович Наймарк, scientific transliteration Mark Aronovic Najmark; born December 5, 1909 in Odessa, † December 30, 1978 in Moscow) was a Soviet mathematician who worked on functional analysis and representation theory.

Life

Neumark spent his early years in Odessa. In 1929 he began to study there in 1933 and made his first degree. Subsequently, he also worked in Odessa at MG Krein, where in 1936 he submitted a paper on normal operators on Hilbert spaces.

From 1938 to 1941 worked at the Steklov Neumark Institute of Mathematics of the Academy of Sciences of the USSR, and was subsequently employed at the Seismological Institute of the USSR, which had been relocated in the years 1941-1943 to Tashkent.

In 1954, Neumark Professor at the Physical -Technical Institute in Moscow and held from 1962 until his death a professor at the Steklov Institute of Mathematics.

He has published about 130 papers and five monographs. According to Neumark, among other things, the set of Gelfand - Neumark and the Gelfand - Neumark - Segal construction are named. He also dealt with infinite dimensional representations of Lie groups (including non-compact as the major in physics Lorentz group) after Eugene Wigner.

In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( Some problems and results in representation theory of complex semi -simple Lie groups).

Writings

• Normalized algebras, Berlin, German Academic Publishers 1959, Harri German 1990 ( Russian 1956)
• Theory of group representations, Springer, 1982 ( Russian 1974)
• Linear representations of the Lorentz group, Berlin, German Academic Publishers, 1963 ( in English: Linear representations of the Lorentz group, Oxford, Pergamon Press 1964, Russian 1958)
• Linear differential operators, Akademie Verlag, 1960 ( Russian 1954)
• With Israel Gelfand: Unitary representations of classical groups, Berlin, Akademie Verlag, 1957 ( Russian 1950)