Gennadiy Feldman

Gennadiy Feldman
Born	(1947-10-15) October 15, 1947 Kharkiv, Ukrainian SSR, Soviet Union
Alma mater	V.N. Karazin Kharkiv National University
Known for	Algebraic Probability Theory
Awards	M. Ostrogradsky prize of the National Academy of Sciences of Ukraine (2009) State Prize of Ukraine in Science and Technology (2018)
Scientific career
Fields	Mathematics
Institutions	B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine
Doctoral advisor	Yu. I. Lyubich

Gennadiy Mykhailovych Feldman (Template:Lang-uk; born October 15, 1947) is a Soviet and Ukrainian mathematician, corresponding member of the National Academy of Sciences of Ukraine, doctor of physical and mathematical sciences, professor, Head of the Mathematical Division of B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine.

Biography

In 1970, Feldman graduated the Mechanics and Mathematics Faculty of V.N. Karazin Kharkiv National University. From 1970 to 1973, he was a PhD student at B. Verkin Institute for Low Temperature Physics and Engineering. In 1973 he defended his thesis Harmonic Analysis of Non-unitary Representations of Locally Compact Abelian Groups (supervisor Prof. Yu. I. Lyubich). He has been working at B. Verkin Institute for Low Temperature Physics and Engineering starting as a junior researcher and heading the Mathematical Division in 2012. In 1985, he defended his doctoral thesis Arithmetic of Probability Measures on Locally Compact Abelian groups at Vilnius University. In 2018, he was elected as a corresponding member of the National Academy of Sciences of Ukraine. For more than 20 years Feldman worked part-time at Mechanics and Mathematics Faculty of V.N. Karazin Kharkiv National University. He is the author of four monographs and more than 90 scientific articles.

Feldman specializes in the field of abstract harmonic analysis and algebraic probability theory. He constructed a theory of decompositions of random variables and proved analogs of the classical characterization theorems of mathematical statistics in the case when random variables take values in various classes of locally compact Abelian groups (discrete, compact, and others).

Awards

• M. Ostrogradsky prize of the National Academy of Sciences of Ukraine (2009) for the series of works “Probabilistic Problems on Groups and in Spectral Theory” (together with L. Pastur and M. Shcherbina).

• State Prize of Ukraine in Science and Technology (2018) for the work «Qualitative methods of research models of mathematical physics» (together with A. Kochubey, M. Shcherbina, O. Rebenko, I. Mykytyuk, V. Samojlenko, A. Prykarpatskyj).

Monographs

• Г. М. Фельдман. Арифметика вероятностных распределений и характеризационные задачи на абелевых группах, Киев: Наукова думка, 1990, 168 с.
• G.M. Feldman. Arithmetic of probability distributions and characterization problems on Abelian groups, Transl. Math. Monographs. Vol. 116, Providence, RI: American Mathematical Society, 1993, 223 p. [1]
• G.M. Feldman. Functional equations and characterization problems on locally compact Abelian groups, EMS Tracts in Mathematics 5, Zurich: European Mathematical Society, 2008, 268 p. [2]
• Г. М. Фельдман. Характеризационные задачи математической статистики на локально компактных абелевых группах, Киев: Наукова думка, 2010, 432 с.

Information sources

• Web page on B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine
• Web page on the National Academy of Sciences of Ukraine
• Web page on Math-Net.Ru
• Article on the occasion of the sixtieth anniversary