Simonenko Igor Borisovich

Publications in Math-Net.Ru

1. Dependence of the asymptotics of the higher eigenvalues of a truncated continual convolution on the rate at which the symbol attains its maximum
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 9,  52–56
2. Szegő-Type Limit Theorems for Generalized Discrete Convolution Operators
   
   Mat. Zametki, 78:2 (2005),  265–277
3. Dependence of the asymptotic of extreme eigenvalues of truncated Toeplitz matrices on the rate of attaining an exremum by the symbol
   
   Algebra i Analiz, 16:4 (2004),  146–152
4. Asymptotic Invertibility and the Collective Asymptotic Spectral Behavior of Generalized One-Dimensional Discrete Convolutions
   
   Funktsional. Anal. i Prilozhen., 38:1 (2004),  81–82
5. Szegö Type Limit Theorems for Multidimensional Discrete Convolution Operators with Continuous Symbols
   
   Funktsional. Anal. i Prilozhen., 35:1 (2001),  91–93
6. On the calculation of the determinants of truncated one-dimensional continual convolutions with rational symbols
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 4,  77–78
7. A local method in pairs of $L_p$-spaces, and the index
   
   Dokl. Akad. Nauk, 349:5 (1996),  592–595
8. On a direct method for computing conformal mappings of polygons
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 2,  27–36
9. The index of families of Noether singular and bisingular integral operators with piecewise-continuous coefficients on complex contours
   
   Dokl. Akad. Nauk, 338:2 (1994),  158–161
10. Homotopic classification of families of Noether singular operators with piecewise-continuous coefficients on a complex contour
    
    Dokl. Akad. Nauk, 329:5 (1993),  540–542
11. Ideals of a Banach Algebra of Singular Integral Operators with Piecewise Continuous Coefficients in the Space $L_p$
    
    Funktsional. Anal. i Prilozhen., 27:4 (1993),  69–71
12. Symbols and a homotopy classification of families of one-dimensional singular operators with piecewise-continuous coefficients
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 12,  17–27
13. Homotopic classification of families of one-dimensional singular operators with piecewise continuous coefficients
    
    Dokl. Akad. Nauk SSSR, 289:3 (1986),  521–524
14. Conformal mappings of singularly perturbed domains
    
    Dokl. Akad. Nauk SSSR, 289:2 (1986),  302–305
15. Weight properties of exponentials of multidimensional singular integrals
    
    Funktsional. Anal. i Prilozhen., 18:3 (1984),  92–93
16. Global and local factorability of a measurable matrix-function, and the Noether property of the singular operator generated by it
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 4,  81–87
17. Stability of the weight properties of functions with respect to a singular Cauchy integral
    
    Mat. Zametki, 33:3 (1983),  409–416
18. On the index and homotopy classification of families of singular operators with a Carleman shift
    
    Dokl. Akad. Nauk SSSR, 263:5 (1982),  1070–1073
19. An exponentially converging linear method for determining the Christoffel-Schwartz constant and A. A. Markov type estimates for harmonic power quasipolynomials
    
    Sibirsk. Mat. Zh., 22:3 (1981),  188–196
20. On the factorization and local factorization of measurable functions
    
    Dokl. Akad. Nauk SSSR, 250:5 (1980),  1063–1066
21. Projection methods for solving multidimensional discrete convolution equations
    
    Sibirsk. Mat. Zh., 21:2 (1980),  119–127
22. Projection methods for solving two-dimensional singular equations on a torus
    
    Funktsional. Anal. i Prilozhen., 12:1 (1978),  74–75
23. On the convergence of Bieberbach polynomials in the case of a Lipschitz domain
    
    Izv. Akad. Nauk SSSR Ser. Mat., 42:4 (1978),  870–878
24. Some estimates for power quasipolynomials
    
    Mat. Sb. (N.S.), 100(142):1(5) (1976),  89–101
25. Problems of electrostatics in an inhomogeneous medium. The case of a thin dielectric with a large dielectric constant. II
    
    Differ. Uravn., 11:10 (1975),  1870–1878
26. Different dimensions variational problem
    
    Funktsional. Anal. i Prilozhen., 9:4 (1975),  63–64
27. Limit problem in thermal conductivity in a nonhomogeneous medium
    
    Sibirsk. Mat. Zh., 16:6 (1975),  1291–1300
28. Problems of electrostatics in an inhomogeneous medium. The case of a thin dielectric with a large dielectric constant. I
    
    Differ. Uravn., 10:2 (1974),  301–309
29. Characteristic bisingular equations in spaces of summable functions
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 2,  115–120
30. Higher approximations of the averaging method for parabolic equations
    
    Dokl. Akad. Nauk SSSR, 213:6 (1973),  1255–1257
31. Higher approximations of the averaging method for abstract parabolic equations
    
    Mat. Sb. (N.S.), 92(134):4(12) (1973),  541–549
32. A justification of the averaging method for a problem of convection in a field of rapidly oscillating forces and for other parabolic equations
    
    Mat. Sb. (N.S.), 87(129):2 (1972),  236–253
33. Boundary value problems for analytical functions of two variables and their associated integral equations
    
    Dokl. Akad. Nauk SSSR, 199:3 (1971),  551–552
34. On the question of the solvability of bisingular and polysingular equations
    
    Funktsional. Anal. i Prilozhen., 5:1 (1971),  93–94
35. A justification of the method of averaging for abstract parabolic equations
    
    Dokl. Akad. Nauk SSSR, 191:1 (1970),  33–34
36. A justification of the averaging method for abstract parabolic equations
    
    Mat. Sb. (N.S.), 81(123):1 (1970),  53–61
37. Corrections to the article “Multidimensional singular integrals in classes of general higher smoothness moduli”
    
    Sibirsk. Mat. Zh., 11:3 (1970),  712
38. Some general questions in the theory of the Riemann boundary problem
    
    Izv. Akad. Nauk SSSR Ser. Mat., 32:5 (1968),  1138–1146
39. Multidimensional singular integrals in classes of general higher smoothness moduli
    
    Sibirsk. Mat. Zh., 9:4 (1968),  928–936
40. Convolution type operators in cones
    
    Dokl. Akad. Nauk SSSR, 176:6 (1967),  1255–1257
41. Operators of convolution type in cones
    
    Mat. Sb. (N.S.), 74(116):2 (1967),  298–313
42. A new general method of investigating linear operator equations of singular integral equation type. II
    
    Izv. Akad. Nauk SSSR Ser. Mat., 29:4 (1965),  757–782
43. A new general method of investigating linear operator equations of singular integral equation type. I
    
    Izv. Akad. Nauk SSSR Ser. Mat., 29:3 (1965),  567–586
44. Singular integral equations with continuous and piecewise continuous symbol
    
    Dokl. Akad. Nauk SSSR, 159:2 (1964),  279–282
45. A new general method of studying linear operator equations of a type of singular integral equations
    
    Dokl. Akad. Nauk SSSR, 158:4 (1964),  790–793
46. A maximal boundary property of functions with integral representations of a certain type
    
    Dokl. Akad. Nauk SSSR, 157:6 (1964),  1301–1302
47. The Riemann boundary-value problem for $n$ pairs of functions with measurable coefficients and its application to the study of singular integrals in $L_p$ spaces with weights
    
    Izv. Akad. Nauk SSSR Ser. Mat., 28:2 (1964),  277–306
48. A maximal boundary property of functions with integral representations of a certain type
    
    Mat. Sb. (N.S.), 65(107):3 (1964),  390–397
49. Interpolation and extrapolation of linear operators in Orlicz spaces
    
    Mat. Sb. (N.S.), 63(105):4 (1964),  536–553
50. Interpolation and extrapolation of linear operators in Orlicz spaces
    
    Dokl. Akad. Nauk SSSR, 151:6 (1963),  1288–1291
51. Some systems of integral equations of convolution type
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1962, no. 6,  119–130
52. The Riemann boundary-value problem for $n$ pairs of functions with measurable coefficients and its application to the study of singular integrals in weighted $L_p$ spaces
    
    Dokl. Akad. Nauk SSSR, 141:1 (1961),  36–39
53. The Riemann boundary value problem for $n$ pairs of functions with continuous coefficients
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1961, no. 1,  140–145
54. Riemann's boundary problem with a measurable coefficient
    
    Dokl. Akad. Nauk SSSR, 135:3 (1960),  538–541
55. Boundedness of singular integrals in Orlicz spaces
    
    Dokl. Akad. Nauk SSSR, 130:5 (1960),  984–987
56. On some integro-differential equations of convolution type
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1959, no. 2,  213–226


57. Nikolai Vasil'evich Govorov (on the 60th anniversary of his birth)
    
    Uspekhi Mat. Nauk, 44:5(269) (1989),  187–190
58. Fedor Dmitrievich Gakhov (obituary)
    
    Uspekhi Mat. Nauk, 36:1(217) (1981),  193–194