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Kats, Boris Aleksandrovich
Statistics Math-Net.Ru
Total publications: 69
Scientific articles: 68

Number of views:
This page:3459
Abstract pages:14705
Full texts:5509
References:1471
Professor
Doctor of physico-mathematical sciences
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail: , ,
Website: http://ksaba.ru/sved/person/1084/

https://www.mathnet.ru/eng/person18899
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/192136

Publications in Math-Net.Ru Citations
2021
1. L. Zhixin, B. A. Kats, “Riemann boundary-value problem on Cassini spirals”, Probl. Anal. Issues Anal., 10(28):1 (2021),  101–110  mathnet  isi  elib 1
2. B. A. Kats, D. B. Kats, Zhixin Lyu, “The Riemann boundary value problem on circular spirals”, Sibirsk. Mat. Zh., 62:3 (2021),  525–537  mathnet  elib; Siberian Math. J., 62:3 (2021), 423–433  isi  scopus
2019
3. B. A. Kats, “Zigzag-like and spiral-like arcs in boundary-value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 7,  39–47  mathnet; Russian Math. (Iz. VUZ), 63:7 (2019), 33–40  isi  scopus 5
4. B. A. Kats, S. R. Mironova, A. Yu. Pogodina, “Cauchy projectors on non-smooth and non-rectifiable curves”, Probl. Anal. Issues Anal., 8(26):1 (2019),  65–71  mathnet  isi  elib
5. B. A. Kats, D. B. Katz, “Integration over nonrectifiable paths with applications”, Sibirsk. Mat. Zh., 60:1 (2019),  95–108  mathnet  elib; Siberian Math. J., 60:1 (2019), 71–81  isi  scopus 5
6. D. B. Katz, B. A. Katz, “An analog of the Cauchy formula for certain Beltrami equations”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 161:4 (2019),  536–542  mathnet 2
2018
7. B. A. Kats, S. R. Mironova, A. Yu. Pogodina, “Singular integral equations on non-smooth curves in Hölder–Frechét space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 10,  29–33  mathnet; Russian Math. (Iz. VUZ), 62:10 (2018), 26–29  isi  scopus 1
8. D. B. Katz, B. A. Kats, “Integral representations for solutions of some types of the Beltrami equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 3,  23–28  mathnet; Russian Math. (Iz. VUZ), 62:3 (2018), 18–22  isi  scopus 8
2017
9. B. A. Kats, “Riemann boundary-value problem for holomorphic matrices on non-rectifiable curve”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 2,  22–33  mathnet; Russian Math. (Iz. VUZ), 61:2 (2017), 17–27  isi  scopus 3
10. B. A. Kats, S. R. Mironova, A. Yu. Pogodina, “Jump boundary-value problem on a contour with elongate singularities”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 1,  12–16  mathnet; Russian Math. (Iz. VUZ), 61:1 (2017), 10–13  isi  scopus 1
2015
11. B. A. Kats, S. R. Mironova, A. Yu. Pogodina, “A problem on a jump on a contour with limit continuum”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 2,  70–75  mathnet; Russian Math. (Iz. VUZ), 59:2 (2015), 57–61  scopus 1
2013
12. B. A. Kats, S. R. Mironova, A. Yu. Pogodina, “Solvability of the Jump Problem on Non-smooth Arc”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(2) (2013),  49–51  mathnet  elib
2012
13. B. A. Kats, D. B. Kats, “The Szegö function on a non-rectifiable arc”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 4,  12–23  mathnet  mathscinet; Russian Math. (Iz. VUZ), 56:4 (2012), 9–18  scopus 1
2010
14. B. A. Kats, “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  mathnet  mathscinet; Russian Math. (Iz. VUZ), 54:5 (2010), 21–26  scopus
15. B. A. Kats, “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  mathnet  mathscinet  elib
2008
16. B. A. Kats, “Metric Characteristics of Non-Rectifiable Arcs and the Jump Problem”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 150:1 (2008),  56–64  mathnet  zmath 3
2007
17. B. A. Kats, A. Yu. Pogodina, “The jump problem and the Faber–Schauder series”, Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 1,  16–22  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 51:1 (2007), 13–18 1
2006
18. B. A. Kats, “Граничные свойства интеграла Коши по кривой, теряющей спрямляемость в точке”, Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 8,  29–37  mathnet  mathscinet; Russian Math. (Iz. VUZ), 50:8 (2006), 26–33 2
19. B. A. Kats, “Metric characteristics of closed plane curves with application”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 148:2 (2006),  77–84  mathnet  zmath 1
2002
20. B. A. Kats, A. Yu. Pogodina, “On the boundary values of a Cauchy-type integral on a nonsmooth curve”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 3,  15–21  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 46:3 (2002), 12–18 5
21. B. A. Kats, “On a generalization of a theorem of N. A. Davydov”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 1,  39–44  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 46:1 (2002), 37–42 2
2001
22. B. A. Kats, “Some Generalizations of the Notion of Length”, Mat. Zametki, 70:6 (2001),  875–881  mathnet  mathscinet  zmath; Math. Notes, 70:6 (2001), 798–803  isi 2
2000
23. B. A. Kats, “The Stieltjes integral along a fractal contour and some of its applications”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 10,  21–32  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 44:10 (2000), 19–29 2
24. B. A. Kats, “The cauchy integral along $\Phi$-rectifiable curves”, Lobachevskii J. Math., 7 (2000),  15–29  mathnet  mathscinet  zmath 2
1998
25. B. A. Kats, “Integration over a plane fractal curve, a jump problem and generalized measures”, Izv. Vyssh. Uchebn. Zaved. Mat., 1998, no. 10,  53–65  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 42:10 (1998), 51–63 4
26. B. A. Kats, “Integration over a fractal curve and the jump problem”, Mat. Zametki, 64:4 (1998),  549–557  mathnet  mathscinet  zmath; Math. Notes, 64:4 (1998), 476–482  isi 10
1994
27. B. A. Kats, “The Riemann boundary value problem on nonsmooth arcs, and fractal dimensions”, Algebra i Analiz, 6:1 (1994),  172–202  mathnet  mathscinet  zmath; St. Petersburg Math. J., 6:1 (1995), 147–171 9
28. B. A. Kats, “A version of the Riemann boundary value problem on a fractal curve”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 4,  10–20  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 38:4 (1994), 8–18 2
1993
29. B. A. Kats, “The Riemann boundary value problem on a fractal curve”, Dokl. Akad. Nauk, 333:4 (1993),  432–433  mathnet  mathscinet  zmath; Dokl. Math., 48:3 (1994), 559–561 1
30. B. A. Kats, “The Riemann boundary value problem on fractal arcs and arcs of infinite length. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 7,  17–23  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 37:7 (1993), 15–21
31. B. A. Kats, “The Riemann boundary value problem on fractal arcs and arcs of infinite length. I”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 6,  7–16  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 37:6 (1993), 4–13
32. B. A. Kats, “Solvability of the Riemann boundary-value problem on a fractal arc”, Mat. Zametki, 53:5 (1993),  69–75  mathnet  mathscinet  zmath  elib; Math. Notes, 53:5 (1993), 502–505  isi 2
33. B. A. Kats, “To the question of integration along fractal plane contours”, Sibirsk. Mat. Zh., 34:3 (1993),  86–96  mathnet  mathscinet  zmath; Siberian Math. J., 34:3 (1993), 472–480  isi 1
1992
34. B. A. Kats, “On the homogeneous Riemann problem on curves of infinite length”, Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 1,  98–101  mathnet  mathscinet  zmath
1990
35. B. A. Kats, “Conditions for the solvability of the Riemann boundary value problem on nonsmooth curves”, Dokl. Akad. Nauk SSSR, 314:1 (1990),  67–71  mathnet  mathscinet  zmath; Dokl. Math., 42:2 (1991), 302–306
36. B. A. Kats, “The Riemann boundary value problem on a curve with nonuniform twisting”, Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 11,  38–47  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 34:11 (1990), 45–56
1989
37. B. A. Kats, S. R. Mironova, “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  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 33:12 (1989), 73–76
1987
38. B. A. Kats, “The Riemann boundary value problem with power shift”, Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 8,  18–26  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 31:8 (1987), 22–33 1
39. B. A. Kats, “A jump problem and an integral over a nonrectifiable curve”, Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 5,  49–57  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 31:5 (1987), 65–75 5
40. B. A. Kats, S. R. Mironova, “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  mathnet  mathscinet
1986
41. B. A. Kats, S. R. Mironova, “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  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 30:11 (1986), 99–103
42. B. A. Kats, “A Riemann boundary value problem on an open Jordan curve”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 7,  56–60  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 30:7 (1986), 75–81
1985
43. B. A. Kats, “The Riemann problem on a closed Jordan curve in the semicontinuous formulation”, Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 6,  14–22  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 29:6 (1985), 15–25 1
44. B. A. Kats, “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  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 29:3 (1985), 23–35 2
45. M. H. Brenerman, B. A. Kats, “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  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 29:1 (1985), 8–18
1984
46. B. A. Kats, R. A. Kats, G. D. Shvidkaya, “On choice of the queue scheduling discipline by the minimax criterion”, Avtomat. i Telemekh., 1984, no. 6,  70–77  mathnet  zmath; Autom. Remote Control, 45:6 (1984), 742–749
47. B. A. Kats, “Inhomogeneous Riemann problem on an open Jordan curve”, Trudy Sem. Kraev. Zadacham, 21 (1984),  87–93  mathnet  mathscinet  zmath
1983
48. B. A. Kats, “The Riemann problem on an open Jordan curve”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 12,  30–38  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 27:12 (1983), 33–44 10
49. B. A. Kats, “The Riemann problem on a closed Jordan curve”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 4,  68–80  mathnet  mathscinet  zmath 29
50. B. A. Kats, “A boundary problem on a nonsmooth contour of infinite length”, Mat. Zametki, 33:5 (1983),  669–678  mathnet  mathscinet  zmath; Math. Notes, 33:5 (1983), 345–350  isi 1
1982
51. B. A. Kats, “The Riemann boundary value problem for a nonrectifiable Jordan curve”, Dokl. Akad. Nauk SSSR, 267:4 (1982),  789–792  mathnet  mathscinet  zmath 11
52. B. A. Kats, “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  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 26:6 (1982), 95–99 1
53. B. A. Kats, “Classification of Cauchy-type integrals by contours permitting a point singularity”, Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 3,  18–25  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 26:3 (1982), 21–31 1
1981
54. B. A. Kats, “An exceptional case of the Riemann problem with an oscillating coefficient”, Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 12,  41–50  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 25:12 (1981), 43–53
55. B. A. Kats, “Boundary-value problems with infinite indices and non-one-to-one shifts”, Mat. Zametki, 30:6 (1981),  847–856  mathnet  mathscinet  zmath; Math. Notes, 30:6 (1981), 925–929
1980
56. B. A. Kats, “On the Riemann problem with a coefficient admitting a singularity of the null-pole type”, Trudy Sem. Kraev. Zadacham, 17 (1980),  89–99  mathnet  mathscinet  zmath
57. B. A. Kats, “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  mathnet  mathscinet  zmath
1979
58. B. A. Kats, “On the Riemann boundary value problem with coefficient admitting discontinuities of oscillatory type”, Dokl. Akad. Nauk SSSR, 244:3 (1979),  521–525  mathnet  mathscinet  zmath
59. B. A. Kats, “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  mathnet  mathscinet  zmath
1978
60. T. A. Zapuskalova, B. A. Kats, “The Riemann boundary value problem on a spiral contour”, Trudy Sem. Kraev. Zadacham, 15 (1978),  53–61  mathnet  mathscinet  zmath
1977
61. B. A. Kats, “Convexity and starlikeness of the level curves of rational functions. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 4,  44–52  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 21:4 (1977), 38–45
62. B. A. Kats, “Convexity and starlikeness of the level curves of rational functions. I”, Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 3,  32–42  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 21:3 (1977), 25–33
63. B. A. Kats, “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  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 21:1 (1977), 111–113
64. B. A. Kats, “A Riemann boundary value problem with an oscillating coefficient”, Trudy Sem. Kraev. Zadacham, 14 (1977),  110–120  mathnet  mathscinet 3
1976
65. B. A. Kats, “A method for estimating the number of linearly independent solutions of boundary value problems”, Trudy Sem. Kraev. Zadacham, 13 (1976),  120–127  mathnet  mathscinet
66. B. A. Kats, “Some problems of the boundary conjugation of analytic functions”, Sibirsk. Mat. Zh., 17:6 (1976),  1271–1288  mathnet  mathscinet  zmath; Siberian Math. J., 17:6 (1976), 932–944  isi 1
1974
67. B. A. Kats, “A boundary-value problem with a nonhomeomorphic shift”, Dokl. Akad. Nauk SSSR, 219:4 (1974),  781–784  mathnet  mathscinet  zmath
68. B. A. Kats, “Convexity and star-shapedness of the level curves of polynomials”, Mat. Zametki, 15:5 (1974),  701–710  mathnet  mathscinet  zmath; Math. Notes, 15:5 (1974), 419–424 1
2021
69. N. R. Abubakirov, F. G. Avkhadiev, A. V. Aminova, M. M. Arslanov, A. M. Bikchentaev, V. V. Vasin, F. N. Garif'yanov, A. M. Denisov, A. M. Elizarov, N. K. Zamov, B. A. Kats, O. A. Kashina, D. V. Maklakov, V. P. Maksimov, S. R. Nasyrov, N. I. Popov, L. G. Salekhov, R. B. Salimov, S. G. Samko, N. Temirgaliev, E. A. Turilova, Yu. E. Hohlov, P. L. Shabalin, L. N. Shevrin, A. N. Sherstnev, E. A. Shirokova, V. V. Shurygin, “Leonid Aleksandrovich Aksent'ev”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 3,  98–100  mathnet

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