RUS  ENG
Full version
PEOPLE

Sedletskii Anatolii Mechislavovich

Publications in Math-Net.Ru

  1. Equivalence of the trigonometric system and its perturbations in the spaces $L^p$ and $C$

    Mat. Sb., 210:4 (2019),  145–164
  2. Generalized Dirichlet classes in a half-plane and their application to approximations

    Mat. Sb., 206:1 (2015),  147–174
  3. Complete and incomplete systems of exponentials in spaces with a power weight on a half-line

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 2,  52–55
  4. Approximation of Müntz-Szász type in weighted spaces

    Mat. Sb., 204:7 (2013),  97–126
  5. Rapid Decrease of Entire Functions along the Real Axis and the Uniqueness of the Fourier-Transform Pair

    Mat. Zametki, 92:2 (2012),  302–312
  6. Distribution of roots of Mittag-Leffler functions

    CMFD, 40 (2011),  3–171
  7. Bases of Exponentials in Weighted Spaces Generated by Zeros of Functions of Sine Type

    Mat. Zametki, 89:6 (2011),  894–913
  8. Localization of small zeros of sine and cosine Fourier transforms of a finite positive nondecreasing function

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 4,  35–41
  9. Approximation of Müntz–Szasz type in weighted $L^p$ spaces, and the zeros of functions of the Bergman classes in a half-plane

    Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 5,  92–100
  10. Classes of entire functions that are rapidly decreasing on the real axis: theory and applications

    Mat. Sb., 199:1 (2008),  133–160
  11. On the Stability of the Uniform Minimality of a Set of Exponentials

    CMFD, 25 (2007),  165–177
  12. Asymptotics of the Zeros of Degenerate Hypergeometric Functions

    Mat. Zametki, 82:2 (2007),  262–271
  13. Asymptotic behavior of zeros of Mittag-Leffler functions of order $1/2$

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2007, no. 1,  22–28
  14. Müntz–Szász type approximation in direct products of spaces

    Izv. RAN. Ser. Mat., 70:5 (2006),  179–198
  15. Nonharmonic analysis

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 96 (2006),  106–211
  16. Approximations by convolutions and antiderivatives

    Mat. Zametki, 79:5 (2006),  756–766
  17. Classes of entire functions that rapidly decrease on the real axis

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 1,  36–42
  18. On the Zeros of Laplace Transforms

    Mat. Zametki, 76:6 (2004),  883–892
  19. Nonasymptotic Properties of Roots of a Mittag-Leffler Type Function

    Mat. Zametki, 75:3 (2004),  405–420
  20. Analytic Fourier Transforms and Exponential Approximations. II

    CMFD, 6 (2003),  3–162
  21. Analytic Fourier Transforms and Exponential Approximations. I

    CMFD, 5 (2003),  3–152
  22. Tangential boundary values of Laplace transforms. Applications to Muntz–Szasz type approximation

    Izv. RAN. Ser. Mat., 67:1 (2003),  177–198
  23. Bases of Exponentials in the Spaces $L^p(-\pi,\pi)$

    Mat. Zametki, 72:3 (2002),  418–432
  24. A necessary condition for the uniform minimality of a system of exponentials in $L^p$ spaces on the line

    Mat. Sb., 192:11 (2001),  137–156
  25. On the summability and convergence of non-harmonic Fourier series

    Izv. RAN. Ser. Mat., 64:3 (2000),  151–168
  26. On Zeros of Functions of Mittag-Leffler Type

    Mat. Zametki, 68:5 (2000),  710–724
  27. Bases that occur in the solution of equations of mixed type

    Differ. Uravn., 35:4 (1999),  507–515
  28. Approximation properties of systems of exponentials in Sobolev spaces

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 6,  3–8
  29. Approximation properties of exponential systems on the real line and the half-line

    Mat. Sb., 189:3 (1998),  125–140
  30. Fourier transforms of rapidly decreasing functions

    Izv. RAN. Ser. Mat., 61:3 (1997),  187–202
  31. Entire functions of Bernstein's class that are not Fourier–Stieltjes transforms

    Mat. Zametki, 61:3 (1997),  367–380
  32. Systems of exponentials with a separable real spectrum that are complete and minimal but not uniformly minimal in $L^p$

    Dokl. Akad. Nauk, 342:2 (1995),  165–166
  33. Approximation properties of systems of exponentials in $L^p(a,b)$

    Differ. Uravn., 31:10 (1995),  1675–1681
  34. A construction of complete minimal, but not uniformly minimal, exponential systems with real separable spectrum in $L^p$ and $C$

    Mat. Zametki, 58:4 (1995),  582–595
  35. A necessary condition for all the zeros of an entire function of exponential type to lie in a curvilinear half-plane

    Mat. Sb., 186:9 (1995),  125–134
  36. Expansions in eigenfunctions of the differentiation operator with spread boundary condition

    Differ. Uravn., 30:1 (1994),  70–76
  37. Nonharmonic Fourier series without the Riemann–Lebesgue property

    Izv. RAN. Ser. Mat., 58:6 (1994),  123–136
  38. On the zeros of the Fourier transform of finite measure

    Mat. Zametki, 53:1 (1993),  111–120
  39. Backward continuation of solutions of a homogeneous convolution equation of retarded type

    Differ. Uravn., 27:4 (1991),  709–711
  40. On uniform convergence of nonharmonic Fourier series

    Trudy Mat. Inst. Steklov., 200 (1991),  299–309
  41. Completeness of a system of exponentials on the halfline

    Mat. Zametki, 48:5 (1990),  88–96
  42. The rate of decrease of eigenvalues of a Fredholm operator

    Sibirsk. Mat. Zh., 31:5 (1990),  120–127
  43. Convergence of anharmonic Fourier series in systems of exponentials, cosines and sines

    Dokl. Akad. Nauk SSSR, 301:5 (1988),  1053–1056
  44. Projection from the spaces $E^p$ on a convex polygon onto subspaces of periodic functions

    Izv. Akad. Nauk SSSR Ser. Mat., 52:5 (1988),  1051–1069
  45. Completeness and nonminimality of systems of exponentials in $L^p(-\pi,\pi)$

    Sibirsk. Mat. Zh., 29:1 (1988),  159–170
  46. The Müntz–Szász problem

    Mat. Zametki, 39:1 (1986),  97–107
  47. Decomposition of a function, analytic in a polygon, into the sum of periodic functions

    Dokl. Akad. Nauk SSSR, 284:5 (1985),  1073–1075
  48. Purely imaginary perturbations of the exponents $\lambda_n$ in the system $\{\exp(i\lambda_nt)\}$

    Sibirsk. Mat. Zh., 26:4 (1985),  151–158
  49. Decomposition of an analytic function into a sum of periodic functions

    Izv. Akad. Nauk SSSR Ser. Mat., 48:4 (1984),  833–853
  50. Approximation by translates and completeness of weighted systems of exponential functions in $L^2(\mathbf R)$

    Mat. Sb. (N.S.), 123(165):1 (1984),  92–107
  51. Annihilable systems of trigonometric systems

    Mat. Zametki, 34:2 (1983),  237–248
  52. Excesses of systems, close to one another, of exponentials in $L^p$

    Sibirsk. Mat. Zh., 24:4 (1983),  164–175
  53. Biorthogonal expansions of functions in series of exponents on intervals of the real axis

    Uspekhi Mat. Nauk, 37:5(227) (1982),  51–95
  54. Extension of convergence of quasipolynomials

    Izv. Akad. Nauk SSSR Ser. Mat., 44:5 (1980),  1131–1149
  55. Excesses of systems of exponential functions

    Izv. Akad. Nauk SSSR Ser. Mat., 44:1 (1980),  203–218
  56. Dirichlet series on a system of segments emanating from the coordinate origin

    Mat. Zametki, 27:2 (1980),  197–208
  57. Bases of exponential functions in the spaces $E^p$ on convex polygons

    Izv. Akad. Nauk SSSR Ser. Mat., 42:5 (1978),  1101–1119
  58. Expansions of functions in Dirichlet series on closed convex polygons

    Sibirsk. Mat. Zh., 19:4 (1978),  878–887
  59. On a class of biorthogonal expansions in exponential functions

    Izv. Akad. Nauk SSSR Ser. Mat., 41:2 (1977),  393–415
  60. Excesses of systems of exponential functions

    Mat. Zametki, 22:6 (1977),  803–814
  61. The solvability of a certain integral equation with an initial condition

    Differ. Uravn., 11:12 (1975),  2283–2285
  62. Equiconvergence and equisummability of nonharmonic Fourier expansions with ordinary trigonometric series

    Mat. Zametki, 18:1 (1975),  9–17
  63. Expansions in eigenfunctions of the differentiation operator with spread boundary condition

    Uspekhi Mat. Nauk, 30:1(181) (1975),  255–256
  64. An equivalent definition of $H^p$ spaces in the half-plane and some applications

    Mat. Sb. (N.S.), 96(138):1 (1975),  75–82
  65. Expansions in exponential functions

    Sibirsk. Mat. Zh., 16:4 (1975),  820–829
  66. The stability of the completeness and minimality in $L^2$ of a system of exponential functions

    Mat. Zametki, 15:2 (1974),  213–219
  67. Mean periodic extension of continuous functions with preservation of smoothness

    Dokl. Akad. Nauk SSSR, 212:2 (1973),  302–304
  68. Interpolation in $H^p$ spaces over a half-plane

    Dokl. Akad. Nauk SSSR, 208:6 (1973),  1293–1295
  69. Ýêâèâàëåíòíûå ïîñëåäîâàòåëüíîñòè â íåêîòîðûõ ïðîñòðàíñòâàõ ôóíêöèé

    Izv. Vyssh. Uchebn. Zaved. Mat., 1973, no. 7,  85–91
  70. On biorthogonal expansions in exponential functions

    Izv. Akad. Nauk SSSR Ser. Mat., 36:3 (1972),  583–590
  71. A periodic in the mean extension and bases of exponential functions in $L^p(-\pi,\pi)$

    Mat. Zametki, 12:1 (1972),  37–42
  72. Nonharmonic Fourier series

    Sibirsk. Mat. Zh., 12:5 (1971),  1100–1114
  73. On functions periodic in the mean

    Izv. Akad. Nauk SSSR Ser. Mat., 34:6 (1970),  1391–1415

  74. Aleksei Fedorovich Leont'ev (1917–1987) (on the 80th anniversary of his birth)

    Uspekhi Mat. Nauk, 52:3(315) (1997),  189–190
  75. Seminar dedicated to the memory of A. F. Leont'ev

    Uspekhi Mat. Nauk, 48:6(294) (1993),  177
  76. Yurii Fedorovich Korobeinik (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 47:5(287) (1992),  199–200
  77. Aleksei Fedorovich Leont'ev

    Mat. Zametki, 42:4 (1987),  483–493
  78. Aleksei Fedorovich Leont'ev (obituary)

    Uspekhi Mat. Nauk, 42:5(257) (1987),  177–182

© Steklov Math. Inst. of RAS, 2024