Karapetyants Nikolai Karapetovich

Publications in Math-Net.Ru

1. Projection Method in the Theory of Integral Operators with Homogeneous Kernels
   
   Mat. Zametki, 75:2 (2004),  163–172
2. Spherical convolution operators with a power-logarithmic kernel in generalized Hölder spaces
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 2,  3–14
3. Fractional Integrals of Imaginary Order in the Space of Hölder Functions with Polynomial Weight on an Interval
   
   Mat. Zametki, 74:1 (2003),  52–59
4. On the pseudospectra of multidimensional integral operators with homogeneous kernels of degree $-n$
   
   Sibirsk. Mat. Zh., 44:6 (2003),  1199–1216
5. On the algebra of multidimensional integral operators with homogeneous kernels with variable coefficients
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 1,  3–10
6. Lebesgue points and fractional integrals
   
   Dokl. Akad. Nauk, 352:2 (1997),  163–166
7. On the solvability of an integral equation of fractional order in generalized Hölder classes
   
   Differ. Uravn., 32:8 (1996),  1102–1109
8. On a necessary condition for the convergence of averages at Lebesgue $p$-points of functions from $L_p$
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 9,  27–33
9. Fractional integrodifferentiation in Hölder classes of variable order
   
   Dokl. Akad. Nauk, 339:4 (1994),  439–441
10. Fractional integrals in the limit case
    
    Dokl. Akad. Nauk, 333:2 (1993),  136–137
11. Discrete equations of convolution type with monotone nonlinearity in complex spaces
    
    Dokl. Akad. Nauk, 322:6 (1992),  1015–1018
12. On the isomorphism realized by fractional integrals in generalized Nikolʹskii classes
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 9,  49–58
13. A convolution equation with a power nonlinearity of negative order
    
    Dokl. Akad. Nauk SSSR, 320:4 (1991),  777–780
14. The isomorphism realized by fractional integrals in generalized Hölder classes
    
    Dokl. Akad. Nauk SSSR, 314:2 (1990),  288–291
15. Integral equations of convolution type with power nonlinearity and systems of such equations
    
    Dokl. Akad. Nauk SSSR, 311:5 (1990),  1035–1039
16. A scheme for studying semi-Noethericity of a class of operators
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 2,  62–65
17. Discrete equations of convolution type with monotone nonlinearity
    
    Differ. Uravn., 25:10 (1989),  1777–1784
18. Fractional integrals with a limit index
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 3,  69–72
19. Discrete equations of convolution type with power nonlinearity
    
    Dokl. Akad. Nauk SSSR, 296:3 (1987),  521–524
20. On an analogue of Hörmander's theorem for domains different from $R^n$
    
    Dokl. Akad. Nauk SSSR, 293:6 (1987),  1294–1297
21. A nonlinear equation of convolution type
    
    Differ. Uravn., 22:9 (1986),  1606–1609
22. Local properties of the solution of the Wiener–Hopf equation
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 4,  61–67
23. Radial Riesz potentials on the disk and fractional integration operators
    
    Dokl. Akad. Nauk SSSR, 263:6 (1982),  1299–1302
24. Complete continuity of some classes of operators of convolution type with homogeneous kernels
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 11,  71–74
25. Necessary conditions for the boundedness of an operator with nonnegative quasihomogeneous kernel
    
    Mat. Zametki, 30:5 (1981),  787–794
26. On the question of complete continuity of operators of convolution type
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 11,  41–49
27. The Wiener–Hopf integral equation with a symbol that has a zero of fractional order
    
    Differ. Uravn., 13:8 (1977),  1471–1478
28. A study of the Noethericity of operators with an involution of order $n$, and its application
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 11,  15–26
29. Discrete convolution operators with almost-stabilized coefficients
    
    Mat. Zametki, 22:3 (1977),  339–344
30. Singular convolution operators with a discontinuous symbol
    
    Dokl. Akad. Nauk SSSR, 221:6 (1975),  1260–1263
31. Singular integral operators with Carleman shift in the case of piecewise continuous coefficients. II
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 3,  34–42
32. Singular integral operators with Carleman shift in the case of piecewise continuous coefficients. I, II
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 2,  43–54
33. Singular convolution operators with discontinuous symbol
    
    Sibirsk. Mat. Zh., 16:1 (1975),  44–61
34. On a class of discrete convolution operators with oscillating coefficients
    
    Dokl. Akad. Nauk SSSR, 216:1 (1974),  28–31
35. Singular integral equations with Carleman shift in the case of discontinuous coefficients, and the investigation of the Noetherian nature of a class of linear operators with involution
    
    Dokl. Akad. Nauk SSSR, 211:2 (1973),  281–284
36. Singular integral operators with shift on an open contour
    
    Dokl. Akad. Nauk SSSR, 204:3 (1972),  536–539
37. On a new approach to the investigation of singular integral equations with shift
    
    Dokl. Akad. Nauk SSSR, 202:2 (1972),  273–276
38. A certain boundary value problem with a shift in the theory of analytic functions
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 11,  18–22
39. On discrete Wiener–Hopf operators with oscillating coefficients
    
    Dokl. Akad. Nauk SSSR, 200:1 (1971),  17–20
40. On a class of integral equations of convolution type and its applications
    
    Izv. Akad. Nauk SSSR Ser. Mat., 35:3 (1971),  714–726
41. The index of certain classes of integral operators
    
    Dokl. Akad. Nauk SSSR, 194:3 (1970),  504–507
42. A certain class of convolution type integral equations, and its application
    
    Dokl. Akad. Nauk SSSR, 193:5 (1970),  981–984
43. Discrete convolution type equations in a cetain exceptional case
    
    Sibirsk. Mat. Zh., 11:1 (1970),  80–90
44. The normalization of discrete equations of convolution type
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1968, no. 12,  45–52
45. Application of the normalization method to a class of infinite systems of linear algebraic equations
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1967, no. 10,  39–49
46. Integral equations of the convolution type in a class of generalized functions
    
    Sibirsk. Mat. Zh., 7:3 (1966),  531–545


47. Sergeĭ Mikhaĭlovich Nikol'skiĭ (on the occasion of his hundredth birthday)
    
    Vladikavkaz. Mat. Zh., 7:2 (2005),  5–10