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Feldman, Gennadiy Mikhailovich
Statistics Math-Net.Ru
Total publications: 45
Scientific articles: 43

Number of views:
This page:4345
Abstract pages:13435
Full texts:4754
References:918
Corresponding member of the National Academy of Sciences of Ukraine
Professor
Doctor of physico-mathematical sciences (1986)
Speciality: 01.01.05 (Probability theory and mathematical statistics)
Birth date: 15.10.1947
E-mail:
Website: http://www.ilt.kharkov.ua/bvi/structure/depart_r/d25/feldman_r.htm
Keywords: probability distributions on groups, characterization problems of mathematical statistics.
   
Main publications:
  1. G. M. Feldman, Arithmetic of probability distributions and characterization problems on Abelian groups, AMS translation of mathematical monographs, 116, Providence, RI: AMS, 1993, 223 pp.  mathscinet  zmath
  2. G. M. Feldman, “On the decomposition of Gaussian distributions on groups”, Theory Probab. Appl., 22 (1977), 133–140  mathnet  crossref  zmath
  3. G. M. Feldman, A. E. Fryntov, “On the decomposition of the convolution of a Gaussian and Poisson distribution on locally compact Abelian groups”, J. of Mult. Analysis, 13:1 (1983), 148–166  crossref  mathscinet  zmath  scopus
  4. G. M. Feldman, “Bernstein Gaussian distributions on groups”, Theory Probab. Appl., 31 (1986), 40–49  mathnet  crossref  mathscinet
  5. G. M. Feldman, P. Graczyk, “On the Skitovich–Darmois theorem on compact Abelian groups”, J. of Theoretical Probability, 13:3 (2000)  crossref  mathscinet  zmath  scopus
  6. G. M. Feldman, Functional equations and characterization problems on locally compact Abelian groups, EMS Tracts in Mathematics, 5, Zurich. European Mathematical Society (EMS), 2008, 268 pp.  mathscinet  zmath

https://www.mathnet.ru/eng/person17975
List of publications on Google Scholar
https://zbmath.org/authors/ai:feldman.gennadiy-m
https://mathscinet.ams.org/mathscinet/MRAuthorID/190279
https://orcid.org/0000-0001-5163-4079
https://www.scopus.com/authid/detail.url?authorId=8068040800

Publications in Math-Net.Ru Citations
2020
1. G. M. Feldman, “On Heyde's theorem on the group $\mathbb{R}\times\mathbb{T}$”, Dokl. RAN. Math. Inf. Proc. Upr., 493 (2020),  42–46  mathnet  zmath  elib; Dokl. Math., 102:1 (2020), 296–300
2018
2. G. M. Feldman, “On a characterization theorem for probability distributions on discrete Abelian groups”, Teor. Veroyatnost. i Primenen., 63:4 (2018),  730–754  mathnet  elib; Theory Probab. Appl., 63:4 (2019), 594–612  isi  scopus 7
2017
3. G. M. Feldman, “Heyde's characterization theorem for some locally compact Abelian groups”, Teor. Veroyatnost. i Primenen., 62:3 (2017),  499–517  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 62:3 (2018), 399–412  isi  scopus 15
2016
4. G. M. Feldman, “Independent random variables on Abelian groups with independent sum and difference”, Teor. Veroyatnost. i Primenen., 61:2 (2016),  404–414  mathnet  mathscinet  elib; Theory Probab. Appl., 61:2 (2017), 335–345  isi  scopus 1
2014
5. M. V. Mironyuk, G. M. Feldman, “Independent linear statistics on cylinders”, Teor. Veroyatnost. i Primenen., 59:2 (2014),  252–275  mathnet  elib; Theory Probab. Appl., 59:2 (2015), 260–278  isi  scopus 1
2011
6. G. M. Feldman, “Gaussian measures in the sence of Bernstein: factorization, supports, zero-one law”, Teor. Veroyatnost. i Primenen., 56:3 (2011),  494–513  mathnet  mathscinet  elib; Theory Probab. Appl., 56:3 (2011), 359–375  isi  scopus 3
2009
7. M. V. Mironyuk, G. M. Feldman, “On the Skitovich–Darmois theorem for connected Abelian groups”, Dokl. Akad. Nauk, 424:1 (2009),  12–15  mathnet  mathscinet; Dokl. Math., 79:1 (2009), 6–9  isi  scopus
8. G. M. Feldman, “Independent linear statistics on a-adic solenoids”, Teor. Veroyatnost. i Primenen., 54:3 (2009),  515–532  mathnet  mathscinet; Theory Probab. Appl., 54:3 (2010), 375–388  isi  scopus 7
2007
9. M. V. Mironyuk, G. M. Feldman, “Independent linear statistics on the two-dimensional torus”, Teor. Veroyatnost. i Primenen., 52:1 (2007),  3–20  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 52:1 (2008), 78–92  isi  scopus 8
2005
10. M. V. Mironyuk, G. M. Feldman, “On a characterization theorem on finite Abelian groups”, Sibirsk. Mat. Zh., 46:2 (2005),  403–415  mathnet  mathscinet  zmath; Siberian Math. J., 46:2 (2005), 315–324  isi 20
2004
11. G. M. Feldman, P. Graczyk, “On the Skitovich–Darmois theorem for discrete abelian groups”, Teor. Veroyatnost. i Primenen., 49:3 (2004),  596–601  mathnet  mathscinet  zmath; Theory Probab. Appl., 49:3 (2005), 527–531  isi 14
2002
12. G. M. Feldman, Quoc-Phong Vu, “On non-quasianalytic representations of Abelian groups”, Mat. Fiz. Anal. Geom., 9:1 (2002),  101–106  mathnet  mathscinet  zmath
2000
13. G. M. Feldman, “More on the Skitovich–Darmous theorem for finite Abelian groups”, Teor. Veroyatnost. i Primenen., 45:3 (2000),  603–607  mathnet  mathscinet  zmath; Theory Probab. Appl., 45:3 (2001), 507–511  isi 21
1998
14. G. M. Feldman, G. Muraz, “On an isometric representation with the maximal set of spectral subspaces”, Mat. Fiz. Anal. Geom., 5:3/4 (1998),  297–303  mathnet  mathscinet  zmath
15. G. M. Feldman, “On a characterization of Gaussian distributions on Abelian groups by constancy of regression”, Teor. Veroyatnost. i Primenen., 43:3 (1998),  606–610  mathnet  mathscinet  zmath; Theory Probab. Appl., 43:3 (1999), 477–480  isi 1
1997
16. G. M. Feldman, “The Skitovich–Darmois theorem for discrete periodic Abelian groups”, Teor. Veroyatnost. i Primenen., 42:4 (1997),  747–756  mathnet  mathscinet  zmath; Theory Probab. Appl., 42:4 (1997), 611–617  isi 15
1996
17. G. M. Feldman, “The Skitovich–Darmois theorem for compact groups”, Teor. Veroyatnost. i Primenen., 41:4 (1996),  901–906  mathnet  mathscinet  zmath; Theory Probab. Appl., 41:4 (1997), 768–773  isi 15
1995
18. G. M. Feldman, “On a characterization theorem for a Cauchy distribution on Abelian groups”, Sibirsk. Mat. Zh., 36:1 (1995),  215–221  mathnet  mathscinet  zmath; Siberian Math. J., 36:1 (1995), 196–201  isi 1
1992
19. G. M. Feldman, “On the Skitovich–Darmois Theorem on Abelian Groups”, Teor. Veroyatnost. i Primenen., 37:4 (1992),  695–708  mathnet  mathscinet  zmath; Theory Probab. Appl., 37:4 (1993), 621–631 19
1991
20. G. M. Feldman, “The Cauchy distribution on abelian groups and its characterization”, Teor. Veroyatnost. i Primenen., 36:4 (1991),  711–723  mathnet  mathscinet  zmath; Theory Probab. Appl., 36:4 (1991), 670–681  isi 2
1990
21. G. M. Feldman, “Characterization of the Gaussian distribution on groups via the independence of linear statistics”, Sibirsk. Mat. Zh., 31:2 (1990),  180–190  mathnet  mathscinet  zmath; Siberian Math. J., 31:2 (1990), 336–345  isi 11
1989
22. G. M. Feldman, “The Cauchy distribution on abelian groups and its characterization”, Dokl. Akad. Nauk SSSR, 309:1 (1989),  46–49  mathnet  mathscinet  zmath; Dokl. Math., 40:3 (1990), 486–489
23. G. M. Fel'dman, “Marcinkiewicz and Lukacs Theorems for Abelian Groups”, Teor. Veroyatnost. i Primenen., 34:2 (1989),  330–339  mathnet  mathscinet  zmath; Theory Probab. Appl., 34:2 (1989), 290–297  isi 12
1988
24. G. M. Feldman, “Characterization of Gaussian distribution on groups by the independence of linear statistics”, Dokl. Akad. Nauk SSSR, 301:3 (1988),  558–560  mathnet  mathscinet  zmath; Dokl. Math., 38:1 (1989), 131–133
1987
25. G. M. Fel'dman, “A Characterization of the Gaussian Distribution on Abelian Groups”, Teor. Veroyatnost. i Primenen., 32:3 (1987),  623–626  mathnet  mathscinet  zmath; Theory Probab. Appl., 32:3 (1987), 565–569  isi
1986
26. G. M. Feldman, “Gaussian distributions in the sense of Bernstein on groups”, Teor. Veroyatnost. i Primenen., 31:1 (1986),  47–58  mathnet  mathscinet  zmath; Theory Probab. Appl., 31:1 (1987), 40–49  isi 26
1985
27. G. M. Fel'dman, “On infinitely divisible distributions of the class $I_0$ on groups”, Teor. Veroyatnost. i Primenen., 30:3 (1985),  449–461  mathnet  mathscinet  zmath; Theory Probab. Appl., 30:3 (1986), 475–488  isi 2
1984
28. G. M. Fel'dman, “Generalized Poisson distribution on groups”, Teor. Veroyatnost. i Primenen., 29:2 (1984),  222–233  mathnet  mathscinet  zmath; Theory Probab. Appl., 29:2 (1985), 218–230  isi 3
1983
29. G. M. Feldman, “Generalized Poisson distribution on groups”, Funktsional. Anal. i Prilozhen., 17:1 (1983),  87–88  mathnet  mathscinet  zmath; Funct. Anal. Appl., 17:1 (1983), 72–74  isi 2
1982
30. G. M. Fel'dman, “On a decomposition of the Poisson distribution on groups”, Teor. Veroyatnost. i Primenen., 27:4 (1982),  725–738  mathnet  mathscinet  zmath; Theory Probab. Appl., 27:4 (1983), 780–794  isi 3
1981
31. G. M. Fel'dman, A. E. Fryntov, “On decomposition of a convolution of two Poisson distributions on locally compact Abelian groups”, Teor. Veroyatnost. i Primenen., 26:3 (1981),  612–618  mathnet  mathscinet  zmath; Theory Probab. Appl., 26:3 (1982), 601–607  isi 2
1979
32. G. M. Feldman, A. E. Fryntov, “Expansion of a convolution of gaussian and poisson distributions of locally compact Abelian groups”, Funktsional. Anal. i Prilozhen., 13:4 (1979),  93–94  mathnet  mathscinet  zmath; Funct. Anal. Appl., 13:4 (1979), 316–317 1
1978
33. G. M. Fel'dman, “On Gaussian distributions on locally compact Abelian groups”, Teor. Veroyatnost. i Primenen., 23:3 (1978),  548–563  mathnet  mathscinet  zmath; Theory Probab. Appl., 23:2 (1979), 529–542 20
1977
34. G. M. Feldman, “Gaussian distributions on locally compact Abelian groups”, Funktsional. Anal. i Prilozhen., 11:1 (1977),  85–86  mathnet  mathscinet  zmath; Funct. Anal. Appl., 11:1 (1977), 76–78 2
35. G. M. Fel'dman, “On a decomposition of a Gaussian distribution on groups”, Teor. Veroyatnost. i Primenen., 22:1 (1977),  136–143  mathnet  mathscinet  zmath; Theory Probab. Appl., 22:1 (1977), 133–140 25
36. G. M. Feldman, “Generalized poisson distribution on groups”, Zap. Nauchn. Sem. LOMI, 72 (1977),  161–185  mathnet  mathscinet  zmath; J. Soviet Math., 23:3 (1983), 2335–2351 2
1975
37. G. M. Feldman, “On generalized Poisson distribution on groups”, Teor. Veroyatnost. i Primenen., 20:3 (1975),  653–656  mathnet  mathscinet  zmath; Theory Probab. Appl., 20:3 (1976), 641–644 4
1974
38. G. M. Feldman, “The semisimplicity of an algebra generated by an isometric operator”, Funktsional. Anal. i Prilozhen., 8:2 (1974),  93–94  mathnet  mathscinet  zmath; Funct. Anal. Appl., 8:2 (1974), 182–183 3
39. G. M. Feldman, “The spectrum of contractions that depend analytically on a parameter”, Uspekhi Mat. Nauk, 29:6(180) (1974),  179–180  mathnet  mathscinet  zmath 1
1973
40. Yu. I. Lyubich, V. I. Matsaev, G. M. Feldman, “On representations with a separable spectrum”, Funktsional. Anal. i Prilozhen., 7:2 (1973),  52–61  mathnet  mathscinet  zmath; Funct. Anal. Appl., 7:2 (1973), 129–136 16
1972
41. G. M. Feldman, “On isometric representations of locally compact Abelian groups”, Dokl. Akad. Nauk SSSR, 207:5 (1972),  1063–1065  mathnet  mathscinet  zmath 2
42. G. M. Feldman, “Spectral theory of representations of locally compact Abelian groups”, Funktsional. Anal. i Prilozhen., 6:1 (1972),  89  mathnet  mathscinet  zmath; Funct. Anal. Appl., 6:1 (1972), 82–83 1
1971
43. Yu. I. Lyubich, V. I. Matsaev, G. M. Feldman, “On the separability of the spectrum of a representation of a locally compact abelian group”, Dokl. Akad. Nauk SSSR, 201:6 (1971),  1282–1284  mathnet  mathscinet  zmath
2005
44. V. S. Azarin, A. A. Gol'dberg, A. I. Il'inskii, V. A. Marchenko, L. A. Pastur, I. V. Skrypnik, M. L. Sodin, A. M. Ulanovskii, G. M. Feldman, E. Ya. Khruslov, G. P. Chistyakov, “Iosif Vladimirovich Ostrovskii (on his 70th birthday)”, Uspekhi Mat. Nauk, 60:1(361) (2005),  186–188  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 60:1 (2005), 189–192  isi
1995
45. V. A. Azarin, A. A. Gol'dberg, A. I. Il'inskii, V. A. Marchenko, L. A. Pastur, L. I. Ronkin, M. L. Sodin, G. M. Feldman, A. E. Fryntov, G. P. Chistyakov, “Iosif Vladimirovich Ostrovskii (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 50:2(302) (1995),  232–235  mathnet  mathscinet  zmath; Russian Math. Surveys, 50:2 (1995), 465–468  isi

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