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'''Gennadiy Mykhailovych Feldman''' ({{lang-uk|Геннадій Михайлович Фельдман}}; born October 15, 1947) is a Soviet and Ukrainian mathematician, corresponding member of the [[National Academy of Sciences of Ukraine]],<ref>[http://www.nas.gov.ua/EN/PersonalSite/Pages/default.aspx?PersonID=0000014003 The National Academy of Sciences of Ukraine]</ref> Doctor of Science 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.
'''Gennadiy Mykhailovych Feldman''' ({{langx|uk|Геннадій Михайлович Фельдман}}; born October 15, 1947) is a Soviet and Ukrainian mathematician, corresponding member of the [[National Academy of Sciences of Ukraine]],<ref>[http://www.nas.gov.ua/EN/PersonalSite/Pages/default.aspx?PersonID=0000014003 The National Academy of Sciences of Ukraine]</ref> [[Doctor of Science]] 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==
==Biography==
In 1970, Feldman graduated 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).<ref>[https://www.genealogy.math.ndsu.nodak.edu/id.php?id=93363 Web page on Mathematics Genealogy Project]</ref> 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 the Faculty Mechanics and Mathematics of V.N. Karazin Kharkiv National University. He is the author of four monographs and more than 100 scientific articles.
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) <ref>[https://www.genealogy.math.ndsu.nodak.edu/id.php?id=93363 Web page on Mathematics Genealogy Project]</ref> and obtained a degree of [[Candidate of Sciences]] (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]] and obtained a degree of [[Doctor of Sciences]] (Dr. Hab.). 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 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).
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).
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* 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 [[Leonid Pastur|L. Pastur]] and [[Mariya Shcherbina|M. Shcherbina]]).
* 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 [[Leonid Pastur|L. Pastur]] and [[Mariya Shcherbina|M. Shcherbina]]).


* [[State Prize of Ukraine in Science and Technology]] (2018) <ref>[http://www.nas.gov.ua/EN/Competition/Pages/Default.aspx?CompetitionID=120 State Prize of Ukraine in Science and Technology]</ref> for the work «Qualitative methods of research models of mathematical physics» (together with A. Kochubey, [[Mariya Shcherbina|M. Shcherbina]], O. Rebenko, I. Mykytyuk, V. Samojlenko, A. Prykarpatskyj).
* [[State Prize of Ukraine in Science and Technology]] (2018) <ref>[https://www.nas.gov.ua/EN/CompetitiveWork/Pages/Default.aspx?WorkID=0004466 State Prize of Ukraine in Science and Technology]</ref> for the work «Qualitative methods of research models of mathematical physics» (together with A. Kochubey, [[Mariya Shcherbina|M. Shcherbina]], O. Rebenko, I. Mykytyuk, V. Samojlenko, A. Prykarpatskyj).


* Mitropolskiy prize of the National Academy of Sciences of Ukraine (2021) <ref>[http://ilt.kharkiv.ua/bvi/structure/depart_e/d25/d25e.htm Prizes and grants]</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 [[Mariya Shcherbina|M. Shcherbina]]).
* Mitropolskiy prize of the National Academy of Sciences of Ukraine (2021) <ref>[https://visnyk-nanu.org.ua/ojs/index.php/v/article/view/1901 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 [[Mariya Shcherbina|M. Shcherbina]]).


== Monographs ==
== Monographs ==
* Г.&nbsp;М.&nbsp;Фельдман. Арифметика вероятностных распределений и характеризационные задачи на абелевых группах, Киев: Наукова думка, 1990, 168 с.
* Г.&nbsp;М.&nbsp;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. [https://bookstore.ams.org/mmono-116/]
* 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. [https://bookstore.ams.org/mmono-116/]
* 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. [http://www.ems-ph.org/books/book.php?proj_nr=77]
* Gennadiy Feldman. Functional equations and characterization problems on locally compact Abelian groups, EMS Tracts in Mathematics 5, Zurich: European Mathematical Society, 2008, 268 p. [http://www.ems-ph.org/books/book.php?proj_nr=77]
* Г.&nbsp;М.&nbsp;Фельдман. Характеризационные задачи математической статистики на локально компактных абелевых группах, Киев: Наукова думка, 2010, 432 с.
* Г.&nbsp;М.&nbsp;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. [https://bookstore.ams.org/view?ProductCode=SURV/273]

== Information sources ==
⚫
* [http://www.ilt.kharkov.ua/bvi/structure/depart_e/d25/feldman_e.htm Web page on B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine]
* [http://www.nas.gov.ua/UA/PersonalSite/Pages/default.aspx?PersonID=0000014003 Web page on the National Academy of Sciences of Ukraine]
⚫
* [http://www.mathnet.ru/php/person.phtml?option_lang=rus&personid=17975 Web page on Math-Net.Ru]
⚫
* [http://jmagr.ilt.kharkov.ua/jmag/pdf/4/jm04-0200r.pdf Article on the occasion of the sixtieth anniversary]


== References ==
== References ==
{{reflist}}
{{reflist}}

== External links ==
⚫
* [http://www.ilt.kharkov.ua/bvi/structure/depart_e/d25/feldman_e.htm Web page on B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine]
⚫
* [https://www.mathnet.ru/php/person.phtml?&personid=17975&option_lang=eng Web page on Math-Net.Ru]
⚫
* [https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/jm04-0200r/551 Article on the occasion of the sixtieth anniversary]
* [https://visnyk-nanu.org.ua/ojs/index.php/v/article/view/1901 75th anniversary of Corresponding Member of the NAS of Ukraine G.M. Feldman]



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Latest revision as of 07:23, 3 November 2024

Gennadiy Feldman
Born (1947-10-15) October 15, 1947 (age 77)
Kharkiv, Ukrainian SSR, Soviet Union
Alma materV.N. Karazin Kharkiv National University
Known forAlgebraic Probability Theory
AwardsOstrogradsky prize of the National Academy of Sciences of Ukraine (2009)
State Prize of Ukraine in Science and Technology (2018)
Mitropolskiy prize of the National Academy of Sciences of Ukraine (2021)
Scientific career
FieldsMathematics
InstitutionsB. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine
Doctoral advisorYu. I. Lyubich

Gennadiy Mykhailovych Feldman (Ukrainian: Геннадій Михайлович Фельдман; born October 15, 1947) is a Soviet and Ukrainian mathematician, corresponding member of the National Academy of Sciences of Ukraine,[1] Doctor of Science 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

[edit]

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) [2] and obtained a degree of Candidate of Sciences (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 and obtained a degree of Doctor of Sciences (Dr. Hab.). 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 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

[edit]
  • 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).
  • Mitropolskiy prize of the National Academy of Sciences of Ukraine (2021) [4] 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

[edit]
  • 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. [1]
  • Gennadiy 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.
  • 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. [3]

References

[edit]
  1. ^ The National Academy of Sciences of Ukraine
  2. ^ Web page on Mathematics Genealogy Project
  3. ^ State Prize of Ukraine in Science and Technology
  4. ^ 75th anniversary of Corresponding Member of the NAS of Ukraine G.M. Feldman
[edit]


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