Naum Akhiezer


Naum Ilyich Akhiezer was a Soviet mathematician of Jewish origin, known for his works in approximation theory and the theory of differential and integral operators. He is also known as the author of classical books on various subjects in analysis, and for his work on the history of mathematics. He is the brother of the theoretical physicist Aleksander Akhiezer.

Biography

Naum Akhiezer was born in Cherykaw. He studied in the Kiev Institute of Public Education. In 1928, he defended his PhD thesis "Aerodynamical Investigations" under the supervision of Dmitry Grave. From 1928 to 1933, he worked at the Kiev University and at the Kiev Aviation Institute.
In 1933, Naum Akhiezer moved to Kharkiv. From 1933 to his death, except for the years of war and evacuation, he was a professor at Kharkov University and at other institutes in Kharkiv. From 1935 to 1940 and from 1947 to 1950 he was director of the Kharkov Institute of Mathematics and Mechanics. For many years he headed the Kharkov Mathematical Society.

Work

Akhiezer obtained important results in approximation theory, where he masterly applied the methods of the geometric theory of functions of a complex variable and of functional analysis. He found the fundamental connection between the inverse problem for important classes of differential and finite difference operators of the second order with a finite number of gaps in the spectrum, and the Jacobi inversion problem for Abelian integrals. This connection led to explicit solutions of the inverse problem for the so-called finite-gap operators.

Some publications

Books in analysis

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    History of mathematics

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