Gennadiy Mykhailovych Feldman (; born October 15, 1947) is a Soviet and Ukrainian mathematician, corresponding member of the

National Academy of Sciences of Ukraine The National Academy of Sciences of Ukraine (NASU; , ; ''NAN Ukrainy'') is a self-governing state-funded organization in Ukraine that is the main center of development of Science and technology in Ukraine, science and technology by coordinatin ...

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in Physics and Mathematics, 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 in the Faculty of Mechanics and Mathematics 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) and obtained a degree of

Candidate of Sciences A Candidate of Sciences is a Doctor of Philosophy, PhD-equivalent academic research degree in all the post-Soviet countries with the exception of Ukraine, and until the 1990s it was also awarded in Central and Eastern European countries. It is ...

(PhD). 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 Vilnius University ( Lithuanian: ''Vilniaus universitetas'') is a public research university, which is the first and largest university in Lithuania, as well as one of the oldest and most prominent higher education institutions in Central and Ea ...

and obtained a degree of

Doctor of Sciences A Doctor of Sciences, abbreviated д-р наук or д. н.; ; ; ; is a higher doctoral degree in the Russian Empire, Soviet Union and many Commonwealth of Independent States countries. One of the prerequisites of receiving a Doctor of Sciences ...

(Dr. Hab.). In 2018, he was elected as a corresponding member of the

. For more than 20 years, Feldman worked part-time at the Faculty of Mechanics and Mathematics of V.N. Karazin Kharkiv National University. He is the author of 5 monographs and more than 100 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

* 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 State most commonly refers to: * State (polity), a centralized political organization that regulates law and society within a territory **Sovereign state, a sovereign polity in international law, commonly referred to as a country **Nation state, a ...

(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). * Mitropolskiy prize of the National Academy of Sciences of Ukraine (2021) 75th anniversary of Corresponding Member of the NAS of Ukraine G.M. Feldman
/ref> for the series of works “New analytical methods in the theory of nonlinear oscillations, the theory of random matrices and in characterization problems” (together with V. Slyusarchuk and M. Shcherbina).

Monographs

* Г. М. Фельдман. Арифметика вероятностных распределений и характеризационные задачи на абелевых группах, Киев: Наукова думка, 1990, 168 с. * G.M. Fel'dman. Arithmetic of probability distributions, and characterization problems on Abelian groups, Transl. Math. Monographs. Vol. 116, Providence, RI: American Mathematical Society, 1993, 223 p

* Gennadiy Feldman. Functional equations and characterization problems on locally compact Abelian groups, EMS Tracts in Mathematics 5, Zurich: European Mathematical Society, 2008, 268 p

* Г. М. Фельдман. Характеризационные задачи математической статистики на локально компактных абелевых группах, Киев: Наукова думка, 2010, 432 с. * Gennadiy Feldman. Characterization of Probability Distributions on Locally Compact Abelian Groups. Mathematical Surveys and Monographs. Vol. 273, Providence, RI: American Mathematical Society, 2023, 240 pp

References

External links

Web page on B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine

Web page on Math-Net.Ru

Article on the occasion of the sixtieth anniversary

75th anniversary of Corresponding Member of the NAS of Ukraine G.M. Feldman
{{DEFAULTSORT:Feldman, Gennadiy Ukrainian mathematicians National University of Kharkiv alumni 1947 births Living people Laureates of the State Prize of Ukraine in Science and Technology