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Kats Boris Aleksandrovich

Publications in Math-Net.Ru

  1. Riemann boundary-value problem on Cassini spirals

    Probl. Anal. Issues Anal., 10(28):1 (2021),  101–110
  2. The Riemann boundary value problem on circular spirals

    Sibirsk. Mat. Zh., 62:3 (2021),  525–537
  3. Zigzag-like and spiral-like arcs in boundary-value problems

    Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 7,  39–47
  4. Cauchy projectors on non-smooth and non-rectifiable curves

    Probl. Anal. Issues Anal., 8(26):1 (2019),  65–71
  5. Integration over nonrectifiable paths with applications

    Sibirsk. Mat. Zh., 60:1 (2019),  95–108
  6. An analog of the Cauchy formula for certain Beltrami equations

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 161:4 (2019),  536–542
  7. Singular integral equations on non-smooth curves in Hölder–Frechét space

    Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 10,  29–33
  8. Integral representations for solutions of some types of the Beltrami equations

    Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 3,  23–28
  9. Riemann boundary-value problem for holomorphic matrices on non-rectifiable curve

    Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 2,  22–33
  10. Jump boundary-value problem on a contour with elongate singularities

    Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 1,  12–16
  11. A problem on a jump on a contour with limit continuum

    Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 2,  70–75
  12. Solvability of the Jump Problem on Non-smooth Arc

    Izv. Saratov Univ. Math. Mech. Inform., 13:1(2) (2013),  49–51
  13. The Szegö function on a non-rectifiable arc

    Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 4,  12–23
  14. The rate of the polygonal approximation of a non-rectifiable curve and the jump problem

    Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 5,  25–31
  15. The Riemann boundary value problem on non-rectifiable curve and the Cauchy transform

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 152:1 (2010),  164–173
  16. Metric Characteristics of Non-Rectifiable Arcs and the Jump Problem

    Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 150:1 (2008),  56–64
  17. The jump problem and the Faber–Schauder series

    Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 1,  16–22
  18. Граничные свойства интеграла Коши по кривой, теряющей спрямляемость в точке

    Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 8,  29–37
  19. Metric characteristics of closed plane curves with application

    Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 148:2 (2006),  77–84
  20. On the boundary values of a Cauchy-type integral on a nonsmooth curve

    Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 3,  15–21
  21. On a generalization of a theorem of N. A. Davydov

    Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 1,  39–44
  22. Some Generalizations of the Notion of Length

    Mat. Zametki, 70:6 (2001),  875–881
  23. The Stieltjes integral along a fractal contour and some of its applications

    Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 10,  21–32
  24. The cauchy integral along $\Phi$-rectifiable curves

    Lobachevskii J. Math., 7 (2000),  15–29
  25. Integration over a plane fractal curve, a jump problem and generalized measures

    Izv. Vyssh. Uchebn. Zaved. Mat., 1998, no. 10,  53–65
  26. Integration over a fractal curve and the jump problem

    Mat. Zametki, 64:4 (1998),  549–557
  27. The Riemann boundary value problem on nonsmooth arcs, and fractal dimensions

    Algebra i Analiz, 6:1 (1994),  172–202
  28. A version of the Riemann boundary value problem on a fractal curve

    Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 4,  10–20
  29. The Riemann boundary value problem on a fractal curve

    Dokl. Akad. Nauk, 333:4 (1993),  432–433
  30. The Riemann boundary value problem on fractal arcs and arcs of infinite length. II

    Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 7,  17–23
  31. The Riemann boundary value problem on fractal arcs and arcs of infinite length. I

    Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 6,  7–16
  32. Solvability of the Riemann boundary-value problem on a fractal arc

    Mat. Zametki, 53:5 (1993),  69–75
  33. To the question of integration along fractal plane contours

    Sibirsk. Mat. Zh., 34:3 (1993),  86–96
  34. On the homogeneous Riemann problem on curves of infinite length

    Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 1,  98–101
  35. Conditions for the solvability of the Riemann boundary value problem on nonsmooth curves

    Dokl. Akad. Nauk SSSR, 314:1 (1990),  67–71
  36. The Riemann boundary value problem on a curve with nonuniform twisting

    Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 11,  38–47
  37. The Riemann boundary value problem on a countable set of closed curves in a class of functions with bounded Hцlder coefficients

    Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 12,  61–64
  38. The Riemann boundary value problem with power shift

    Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 8,  18–26
  39. A jump problem and an integral over a nonrectifiable curve

    Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 5,  49–57
  40. The Riemann boundary value problem on a countable set of curves with coefficients that admit power singularities

    Trudy Sem. Kraev. Zadacham, 23 (1987),  103–115
  41. On the Riemann boundary value problem on a countable set of curves with coefficients admitting power singularities

    Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 11,  71–74
  42. A Riemann boundary value problem on an open Jordan curve

    Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 7,  56–60
  43. The Riemann problem on a closed Jordan curve in the semicontinuous formulation

    Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 6,  14–22
  44. An integral of Cauchy type and the Riemann problem on a countable set of closed curves

    Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 3,  20–29
  45. A norm estimate of a singular integral and its application to certain boundary-value problems

    Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 1,  8–17
  46. On choice of the queue scheduling discipline by the minimax criterion

    Avtomat. i Telemekh., 1984, no. 6,  70–77
  47. Inhomogeneous Riemann problem on an open Jordan curve

    Trudy Sem. Kraev. Zadacham, 21 (1984),  87–93
  48. The Riemann problem on an open Jordan curve

    Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 12,  30–38
  49. The Riemann problem on a closed Jordan curve

    Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 4,  68–80
  50. A boundary problem on a nonsmooth contour of infinite length

    Mat. Zametki, 33:5 (1983),  669–678
  51. The Riemann boundary value problem for a nonrectifiable Jordan curve

    Dokl. Akad. Nauk SSSR, 267:4 (1982),  789–792
  52. Conditions for the solvability of a homogeneous Riemann problem on a nonsmooth curve of infinite length

    Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 6,  75–77
  53. Classification of Cauchy-type integrals by contours permitting a point singularity

    Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 3,  18–25
  54. An exceptional case of the Riemann problem with an oscillating coefficient

    Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 12,  41–50
  55. Boundary-value problems with infinite indices and non-one-to-one shifts

    Mat. Zametki, 30:6 (1981),  847–856
  56. On the Riemann problem with a coefficient admitting a singularity of the null-pole type

    Trudy Sem. Kraev. Zadacham, 17 (1980),  89–99
  57. The number of linearly independent solutions of a boundary value problem with shifts which are not one-to-one

    Sibirsk. Mat. Zh., 21:1 (1980),  207–211
  58. On the Riemann boundary value problem with coefficient admitting discontinuities of oscillatory type

    Dokl. Akad. Nauk SSSR, 244:3 (1979),  521–525
  59. A boundary value problem with nonmutually single-valued shifts on a countable set of circles

    Izv. Vyssh. Uchebn. Zaved. Mat., 1979, no. 2,  66–69
  60. The Riemann boundary value problem on a spiral contour

    Trudy Sem. Kraev. Zadacham, 15 (1978),  53–61
  61. Convexity and starlikeness of the level curves of rational functions. II

    Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 4,  44–52
  62. Convexity and starlikeness of the level curves of rational functions. I

    Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 3,  32–42
  63. Boundary value problems with not one-to-one shifts in the case of a multiply connected domain

    Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 1,  134–136
  64. A Riemann boundary value problem with an oscillating coefficient

    Trudy Sem. Kraev. Zadacham, 14 (1977),  110–120
  65. A method for estimating the number of linearly independent solutions of boundary value problems

    Trudy Sem. Kraev. Zadacham, 13 (1976),  120–127
  66. Some problems of the boundary conjugation of analytic functions

    Sibirsk. Mat. Zh., 17:6 (1976),  1271–1288
  67. A boundary-value problem with a nonhomeomorphic shift

    Dokl. Akad. Nauk SSSR, 219:4 (1974),  781–784
  68. Convexity and star-shapedness of the level curves of polynomials

    Mat. Zametki, 15:5 (1974),  701–710

  69. Leonid Aleksandrovich Aksent'ev

    Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 3,  98–100

© Steklov Math. Inst. of RAS, 2024