Feldman Gennadiy Mikhailovich

Publications in Math-Net.Ru

1. On Heyde's theorem on the group $\mathbb{R}\times\mathbb{T}$
   
   Dokl. RAN. Math. Inf. Proc. Upr., 493 (2020),  42–46
2. On a characterization theorem for probability distributions on discrete Abelian groups
   
   Teor. Veroyatnost. i Primenen., 63:4 (2018),  730–754
3. Heyde's characterization theorem for some locally compact Abelian groups
   
   Teor. Veroyatnost. i Primenen., 62:3 (2017),  499–517
4. Independent random variables on Abelian groups with independent sum and difference
   
   Teor. Veroyatnost. i Primenen., 61:2 (2016),  404–414
5. Independent linear statistics on cylinders
   
   Teor. Veroyatnost. i Primenen., 59:2 (2014),  252–275
6. Gaussian measures in the sence of Bernstein: factorization, supports, zero-one law
   
   Teor. Veroyatnost. i Primenen., 56:3 (2011),  494–513
7. On the Skitovich–Darmois theorem for connected Abelian groups
   
   Dokl. Akad. Nauk, 424:1 (2009),  12–15
8. Independent linear statistics on a-adic solenoids
   
   Teor. Veroyatnost. i Primenen., 54:3 (2009),  515–532
9. Independent linear statistics on the two-dimensional torus
   
   Teor. Veroyatnost. i Primenen., 52:1 (2007),  3–20
10. On a characterization theorem on finite Abelian groups
    
    Sibirsk. Mat. Zh., 46:2 (2005),  403–415
11. On the Skitovich–Darmois theorem for discrete abelian groups
    
    Teor. Veroyatnost. i Primenen., 49:3 (2004),  596–601
12. On non-quasianalytic representations of Abelian groups
    
    Mat. Fiz. Anal. Geom., 9:1 (2002),  101–106
13. More on the Skitovich–Darmous theorem for finite Abelian groups
    
    Teor. Veroyatnost. i Primenen., 45:3 (2000),  603–607
14. On an isometric representation with the maximal set of spectral subspaces
    
    Mat. Fiz. Anal. Geom., 5:3/4 (1998),  297–303
15. On a characterization of Gaussian distributions on Abelian groups by constancy of regression
    
    Teor. Veroyatnost. i Primenen., 43:3 (1998),  606–610
16. The Skitovich–Darmois theorem for discrete periodic Abelian groups
    
    Teor. Veroyatnost. i Primenen., 42:4 (1997),  747–756
17. The Skitovich–Darmois theorem for compact groups
    
    Teor. Veroyatnost. i Primenen., 41:4 (1996),  901–906
18. On a characterization theorem for a Cauchy distribution on Abelian groups
    
    Sibirsk. Mat. Zh., 36:1 (1995),  215–221
19. On the Skitovich–Darmois Theorem on Abelian Groups
    
    Teor. Veroyatnost. i Primenen., 37:4 (1992),  695–708
20. The Cauchy distribution on abelian groups and its characterization
    
    Teor. Veroyatnost. i Primenen., 36:4 (1991),  711–723
21. Characterization of the Gaussian distribution on groups via the independence of linear statistics
    
    Sibirsk. Mat. Zh., 31:2 (1990),  180–190
22. The Cauchy distribution on abelian groups and its characterization
    
    Dokl. Akad. Nauk SSSR, 309:1 (1989),  46–49
23. Marcinkiewicz and Lukacs Theorems for Abelian Groups
    
    Teor. Veroyatnost. i Primenen., 34:2 (1989),  330–339
24. Characterization of Gaussian distribution on groups by the independence of linear statistics
    
    Dokl. Akad. Nauk SSSR, 301:3 (1988),  558–560
25. A Characterization of the Gaussian Distribution on Abelian Groups
    
    Teor. Veroyatnost. i Primenen., 32:3 (1987),  623–626
26. Gaussian distributions in the sense of Bernstein on groups
    
    Teor. Veroyatnost. i Primenen., 31:1 (1986),  47–58
27. On infinitely divisible distributions of the class $I_0$ on groups
    
    Teor. Veroyatnost. i Primenen., 30:3 (1985),  449–461
28. Generalized Poisson distribution on groups
    
    Teor. Veroyatnost. i Primenen., 29:2 (1984),  222–233
29. Generalized Poisson distribution on groups
    
    Funktsional. Anal. i Prilozhen., 17:1 (1983),  87–88
30. On a decomposition of the Poisson distribution on groups
    
    Teor. Veroyatnost. i Primenen., 27:4 (1982),  725–738
31. On decomposition of a convolution of two Poisson distributions on locally compact Abelian groups
    
    Teor. Veroyatnost. i Primenen., 26:3 (1981),  612–618
32. Expansion of a convolution of gaussian and poisson distributions of locally compact Abelian groups
    
    Funktsional. Anal. i Prilozhen., 13:4 (1979),  93–94
33. On Gaussian distributions on locally compact Abelian groups
    
    Teor. Veroyatnost. i Primenen., 23:3 (1978),  548–563
34. Gaussian distributions on locally compact Abelian groups
    
    Funktsional. Anal. i Prilozhen., 11:1 (1977),  85–86
35. On a decomposition of a Gaussian distribution on groups
    
    Teor. Veroyatnost. i Primenen., 22:1 (1977),  136–143
36. Generalized poisson distribution on groups
    
    Zap. Nauchn. Sem. LOMI, 72 (1977),  161–185
37. On generalized Poisson distribution on groups
    
    Teor. Veroyatnost. i Primenen., 20:3 (1975),  653–656
38. The semisimplicity of an algebra generated by an isometric operator
    
    Funktsional. Anal. i Prilozhen., 8:2 (1974),  93–94
39. The spectrum of contractions that depend analytically on a parameter
    
    Uspekhi Mat. Nauk, 29:6(180) (1974),  179–180
40. On representations with a separable spectrum
    
    Funktsional. Anal. i Prilozhen., 7:2 (1973),  52–61
41. On isometric representations of locally compact Abelian groups
    
    Dokl. Akad. Nauk SSSR, 207:5 (1972),  1063–1065
42. Spectral theory of representations of locally compact Abelian groups
    
    Funktsional. Anal. i Prilozhen., 6:1 (1972),  89
43. On the separability of the spectrum of a representation of a locally compact abelian group
    
    Dokl. Akad. Nauk SSSR, 201:6 (1971),  1282–1284


44. Iosif Vladimirovich Ostrovskii (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 60:1(361) (2005),  186–188
45. Iosif Vladimirovich Ostrovskii (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 50:2(302) (1995),  232–235