Andrey Akhiezer

Andrey Akhiezer
Name	Andrey Akhiezer
Native name	Андрей Ильич Ахиезер
Birth date	1911
Death date	2000
Nationality	Soviet
Fields	Mathematical physics, Functional analysis
Workplaces	Kharkiv University, Leningrad State University, Steklov Institute
Alma mater	Kharkiv University

Andrey Akhiezer

Andrey Ilyich Akhiezer was a Soviet mathematician noted for contributions to mathematical physics, functional analysis, and approximation theory. He worked at major institutions in Kharkiv, Leningrad, and Moscow, collaborating with contemporaries across the Soviet mathematical community and influencing research in scattering theory, spectral theory, and complex analysis. His career intersected with developments associated with figures and institutions such as Israel Gelfand, Ludwig Faddeev, Mark Krein, Nikolai Bogoliubov, and the Steklov Institute of Mathematics.

Early life and education

Akhiezer was born in 1911 in the Russian Empire and received his early schooling in a milieu linked to intellectual centers like Kharkiv University and the scientific circles of Odessa and Kiev. He studied at Kharkiv University where he apprenticed under mathematicians connected to traditions stemming from Dmitri Egorov and Nikolai Luzin, and was exposed to seminars influenced by scholars associated with Moscow State University and the St. Petersburg (Leningrad) mathematical school such as Andrey Kolmogorov and Pavel Aleksandrov. His formation included interaction with researchers from institutes including the Steklov Institute of Mathematics and the Institute of Physics and Technology.

Academic career and positions

Akhiezer held academic posts at Kharkiv University, later moving to positions in Leningrad State University and affiliating with the Steklov Institute of Mathematics in Moscow. He supervised students who joined faculties at institutions like Moscow State University, Novosibirsk State University, and the Siberian Branch of the Russian Academy of Sciences. His administrative and editorial roles connected him with publications and conferences organized by bodies such as the Academy of Sciences of the USSR, the All-Russian Mathematical Society, and international gatherings linked to the International Mathematical Union and the European Mathematical Society.

Research and contributions

Akhiezer made foundational contributions to the theory of entire functions, moment problems, and spectral analysis, interacting thematically with work by Bernhard Riemann, Gustav Doetsch, and later researchers in approximation theory and operator theory including Nikolai Akhiezer (distinct families), Menahem Schiffer, and Karol Borsuk. He developed methods used in scattering theory comparable to approaches of Lev Landau, Evgeny Lifshitz, and Isaak Khalatnikov in mathematical physics contexts. His research touched on classical problems studied by Ernst Hellinger, David Hilbert, and Marcel Riesz and linked with developments in the theory of Hilbert spaces by John von Neumann and Marshall Stone.

Akhiezer's work on the moment problem and extremal problems connected to names like Thomas Stieltjes, G. H. Hardy, and J. E. Littlewood, and his analyses of integral equations resonated with contributions by Vladimir Smirnov, Ivan Petrovsky, and Solomon Mikhlin. He contributed to spectral theory for non-self-adjoint operators in lines related to results by Mark Krein, Israel Gohberg, and Mikhail Livsic. His texts provided tools used in later studies by Barry Simon, Michael Reed, and Barry Davies in mathematical physics and operator theory.

Selected publications

Akhiezer authored monographs and papers influential in complex analysis and mathematical physics, often cited alongside works by Andrey Kolmogorov, Sergei Sobolev, and Evgenii Lifshits. Prominent publications include treatises on entire functions and moment problems that appear in bibliographies with monographs by Nikolai Bogoliubov, Olga Ladyzhenskaya, and Lev Pontryagin. His collected works were referenced in proceedings of conferences held by the Steklov Institute of Mathematics, the All-Union Mathematical Congress, and symposia associated with the International Congress of Mathematicians.

Awards and honors

During his career Akhiezer received recognition from Soviet scientific organizations, including awards and memberships tied to the Academy of Sciences of the USSR and honors presented at meetings of the All-Russian Mathematical Society and national academies. His contributions were acknowledged in commemorative volumes alongside laureates of prizes such as those named for Stalin Prize recipients, and he participated in exchange programs and delegations involving institutions like University of Paris, University of Cambridge, and the University of Rome.

Personal life and legacy

Akhiezer's legacy persists through students and collaborators who joined faculties at Moscow State University, Leningrad State University, and international centers including Princeton University, University of Oxford, and ETH Zurich. His methodological influence appears in later treatises by Israel Gelfand, Mark Krein, Nikolai Akhiezer (other figures), and in the work of twentieth-century analysts such as Peter Lax, Lars Hörmander, and Jean Leray. Collections of his papers and lectures are preserved in archives associated with the Steklov Institute of Mathematics and national libraries in Moscow and St. Petersburg.

Category:Soviet mathematicians Category:1911 births Category:2000 deaths