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Osilenker, Boris Petrovich
Statistics Math-Net.Ru
Total publications: 36
Scientific articles: 35
Presentations: 4

Number of views:
This page:1411
Abstract pages:9243
Full texts:3317
References:904
Professor
Doctor of physico-mathematical sciences (1997)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 28.09.1939
E-mail:
Keywords: polynomials, Fourier series, Sobolev space.

Subject:

Orthogonal polynomials. Fourir series in orthogonal polynomials
   
Main publications:
  1. Osilenker B.P., “Generalized nrace formula and asymptotics of the averaged Turan determinantfor polynomials orthogonal with a discrete Sobolev inner product”, Journal of Approximation Theory, 141 (2006), 70–97
  2. F. Marcellan, B.P. Osilenker, and I.A. Rocha, “On Fourier series of a discrete Jacobi–Sobolev inner product”, Journal of Approximation Theory, 117 (2002), 1–22
  3. Marcellan F., Osilenker B.P., Rocha I.A., “On Fourier series of Jacobi–Sobolev orthogonal polynomials”, Journal of Inequalities and Applications, 7:5 (2002), 673–699

https://www.mathnet.ru/eng/person19529
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/201473

Publications in Math-Net.Ru Citations
2022
1. B. P. Osilenker, “On multipliers for Fourier series in Sobolev orthogonal polynomials”, Mat. Sb., 213:8 (2022),  44–82  mathnet  mathscinet; Sb. Math., 213:8 (2022), 1058–1095  isi  scopus 2
2020
2. B. P. Osilenker, “Generalized Trace Formula for PolynomialsOrthogonal in Continuous-Discrete Sobolev Spaces”, Funktsional. Anal. i Prilozhen., 54:4 (2020),  102–105  mathnet  mathscinet  elib; Funct. Anal. Appl., 54:4 (2020), 310–312  isi  scopus 1
3. B. P. Osilenker, “On Potential Functions Associated with Eigenfunctions of the Discrete Sturm–Liouville Operator”, Mat. Zametki, 108:6 (2020),  868–881  mathnet  mathscinet  elib; Math. Notes, 108:6 (2020), 842–853  isi  scopus
2018
4. B. P. Osilenker, “On Fourier Series in Generalized Eigenfunctions of a Discrete Sturm-Liouville Operator”, Funktsional. Anal. i Prilozhen., 52:2 (2018),  90–93  mathnet  mathscinet  elib; Funct. Anal. Appl., 52:2 (2018), 154–157  isi  scopus 4
2015
5. B. P. Osilenker, “On linear summability methods of fourier series in polynomials orthogonal in a discrete Sobolev space”, Sibirsk. Mat. Zh., 56:2 (2015),  420–435  mathnet  mathscinet  elib; Siberian Math. J., 56:2 (2015), 339–351  isi  elib  scopus 7
2010
6. B. P. Osilenker, “Some extremal problems for algebraic polynomials in loaded spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 2,  53–65  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 54:2 (2010), 46–56  scopus 2
2007
7. B. P. Osilenker, “An Extremal Problem for Algebraic Polynomials in the Symmetric Discrete Gegenbauer–Sobolev Space”, Mat. Zametki, 82:3 (2007),  411–425  mathnet  mathscinet  zmath  elib; Math. Notes, 82:3 (2007), 366–379  isi  scopus 3
2002
8. B. P. Osilenker, “Symmetric Legendre–Sobolev orthogonal polynomials in the Pontryagin–Sobolev spaces”, Mat. Fiz. Anal. Geom., 9:3 (2002),  385–393  mathnet  mathscinet  zmath 1
1997
9. B. P. Osilenker, “An Analog of the Trace Formula for Discrete Sturm–Liouville Operators with Asymptotically $N$-Periodic Coefficients”, Funktsional. Anal. i Prilozhen., 31:4 (1997),  72–75  mathnet  mathscinet  zmath; Funct. Anal. Appl., 31:4 (1997), 283–285  isi 2
10. F. Marcellan, B. P. Osilenker, “Estimates of polynomials orthogonal with respect to the Legendre–Sobolev inner product”, Mat. Zametki, 62:6 (1997),  871–880  mathnet  mathscinet  zmath; Math. Notes, 62:6 (1997), 731–738  isi 9
1995
11. B. P. Osilenker, “On quasipotential functions that are associated with orthogonal polynomials”, Dokl. Akad. Nauk, 342:5 (1995),  589–591  mathnet  mathscinet  zmath
1992
12. B. P. Osilenker, “A norm estimation for the generalized quasitranslation operator by orthogonal polynomials”, Funktsional. Anal. i Prilozhen., 26:1 (1992),  61–63  mathnet  mathscinet  zmath; Funct. Anal. Appl., 26:1 (1992), 48–50  isi
1991
13. B. P. Osilenker, “A generalized shift operator in orthogonal matrix polynomials”, Dokl. Akad. Nauk SSSR, 318:2 (1991),  282–284  mathnet  mathscinet  zmath; Dokl. Math., 43:3 (1991), 698–700
1988
14. B. P. Osilenker, “A generalized shift operator and convolution structure for orthogonal polynomials”, Dokl. Akad. Nauk SSSR, 298:5 (1988),  1072–1076  mathnet  mathscinet  zmath; Dokl. Math., 37:1 (1988), 217–221 2
15. B. P. Osilenker, “Fourier series in orthonormal matrix polynomials”, Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 2,  50–60  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 32:2 (1988), 71–83
16. B. P. Osilenker, “On orthonormal polynomial bases in weighted Lebesgue spaces”, Uspekhi Mat. Nauk, 43:5(263) (1988),  207–208  mathnet  mathscinet  zmath; Russian Math. Surveys, 43:5 (1988), 248–249  isi
1983
17. B. P. Osilenker, V. S. Shulman, “Lattices of invariant subspaces of certain operators”, Funktsional. Anal. i Prilozhen., 17:1 (1983),  81–82  mathnet  mathscinet  zmath; Funct. Anal. Appl., 17:1 (1983), 66–67  isi 2
18. E. M. Dyn'kin, B. P. Osilenker, “Weighted estimates for singular integrals and their applications”, Itogi Nauki i Tekhn. Ser. Mat. Anal., 21 (1983),  42–129  mathnet  mathscinet  zmath; J. Soviet Math., 30:3 (1985), 2094–2154 53
1982
19. B. P. Osilenker, “On Fourier–Pollaczek series”, Dokl. Akad. Nauk SSSR, 265:4 (1982),  811–815  mathnet  mathscinet  zmath
20. A. D. Nakhman, B. P. Osilenker, “Estimates of weighted norms of some operators generated by multiple trigonometric Fourier series”, Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 4,  39–50  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 26:4 (1982), 46–59 2
21. B. P. Osilenker, “Weighted polynomial approximation of functions of several variables”, Sibirsk. Mat. Zh., 23:6 (1982),  133–146  mathnet  mathscinet  zmath; Siberian Math. J., 23:6 (1982), 867–879  isi
1981
22. B. P. Osilenker, “Weight estimates for the majorant of cesaro means for fourier series of $l^r$-valued vector-functions”, Funktsional. Anal. i Prilozhen., 15:1 (1981),  80–81  mathnet  mathscinet  zmath; Funct. Anal. Appl., 15:1 (1981), 65–66  isi
1980
23. B. P. Osilenker, “Weight estimates for the linear mean majorants of Fourier series of orthogonal polynomials”, Uspekhi Mat. Nauk, 35:5(215) (1980),  239–240  mathnet  mathscinet  zmath; Russian Math. Surveys, 35:5 (1980), 269–270  isi
1979
24. B. P. Osilenker, “On weighted polynomial approximation of functions of several variables by linear means”, Dokl. Akad. Nauk SSSR, 247:6 (1979),  1320–1324  mathnet  mathscinet  zmath
1977
25. B. P. Osilenker, “Linear methods of summation of double polynomial expansions”, Funktsional. Anal. i Prilozhen., 11:1 (1977),  77–78  mathnet  mathscinet  zmath; Funct. Anal. Appl., 11:1 (1977), 68–70
1976
26. A. D. Nakhman, B. P. Osilenker, “Some linear convergent processes that are generated by periodic functions of two variables”, Izv. Vyssh. Uchebn. Zaved. Mat., 1976, no. 10,  105–108  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 20:10 (1976), 85–87 1
1974
27. B. P. Osilenker, “The convergence and summability of Fourier expansions in orthonormal polynomials that are associated with second order difference operators”, Sibirsk. Mat. Zh., 15:4 (1974),  892–908  mathnet  mathscinet  zmath; Siberian Math. J., 15:4 (1974), 632–643 2
1973
28. B. P. Osilenker, “On linear summability methods for Fourier expansions in orthonormal polynomials”, Dokl. Akad. Nauk SSSR, 209:1 (1973),  40–42  mathnet  mathscinet  zmath 1
1972
29. B. P. Osilenker, “On summation of polynomial Fourier series expansions of functions of the classes $L^p_{\mu(x)}$ ($p\ge1$)”, Dokl. Akad. Nauk SSSR, 202:3 (1972),  529–531  mathnet  mathscinet  zmath
30. B. P. Osilenker, “Approximation properties of certain linear summablility methods”, Sibirsk. Mat. Zh., 13:1 (1972),  153–164  mathnet  mathscinet  zmath; Siberian Math. J., 13:1 (1972), 109–117
1969
31. B. P. Osilenker, “Estimate of growth of Lebesgue functions of linear methods of summation”, Mat. Zametki, 6:3 (1969),  277–286  mathnet  mathscinet  zmath; Math. Notes, 6:3 (1969), 621–627
1968
32. B. P. Osilenker, “Linear summability methods for expansions of functions in the classes $L^p_\mu$ $(1\leqslant p\leqslant\infty)$ in orthonormal systems of polynomial type”, Izv. Akad. Nauk SSSR Ser. Mat., 32:4 (1968),  756–771  mathnet  mathscinet  zmath; Math. USSR-Izv., 2:4 (1968), 709–724
1967
33. B. P. Osilenker, “An example of a unicellular Volterra operator with three involutions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1967, no. 1,  83–87  mathnet  mathscinet  zmath 1
1966
34. B. P. Osilenker, “Schwarz's lemma for the $J$-nondilating matrix-functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1966, no. 3,  101–108  mathnet  mathscinet  zmath
1965
35. B. P. Osilenker, “An example of a unicellular Volterra operator with two involutions”, Uspekhi Mat. Nauk, 20:6(126) (1965),  143–146  mathnet  mathscinet  zmath 1
2008
36. V. I. Berdyshev, V. A. Kaminsky, S. V. Konyagin, B. P. Osilenker, M. V. Samokhin, S. A. Telyakovskii, I. G. Tsar'kov, V. A. Shmatkov, “Alexandr L'vovich Garkavi (obituary)”, Uspekhi Mat. Nauk, 63:3(381) (2008),  147–148  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 63:3 (2008), 547–549  isi

Presentations in Math-Net.Ru
1. Orthogonal polynomials. Fourier series in orthogonal polynomials. Trace formula and asymptotics of Forsythe determinant.
B. P. Osilenker
Seminar on Analysis, Differential Equations and Mathematical Physics
December 14, 2023 18:00
2. Формула следа для полиномов Соболева
B. P. Osilenker
VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev
November 16, 2023 17:20   
3. On Fourier series in orthogonal Sobolev's polynomials
B. P. Osilenker
International Conference "Approximation Theory and Applications" Dedicated to the 100th Anniversary S. B. Stechkin
September 7, 2021 17:40   
4. О разложениях по многочленам, ортогональным в непрерывно-дискретных пространствах Соболева
B. P. Osilenker
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 28, 2015 15:45

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