Osilenker Boris Petrovich

Publications in Math-Net.Ru

1. Generalized trace formula and asymptotics of the Forsythe determinant for Sobolev polynomials
   
   Mat. Zametki, 119:1 (2026),  77–94
2. On multipliers for Fourier series in Sobolev orthogonal polynomials
   
   Mat. Sb., 213:8 (2022),  44–82
3. Generalized Trace Formula for PolynomialsOrthogonal in Continuous-Discrete Sobolev Spaces
   
   Funktsional. Anal. i Prilozhen., 54:4 (2020),  102–105
4. On Potential Functions Associated with Eigenfunctions of the Discrete Sturm–Liouville Operator
   
   Mat. Zametki, 108:6 (2020),  868–881
5. On Fourier Series in Generalized Eigenfunctions of a Discrete Sturm-Liouville Operator
   
   Funktsional. Anal. i Prilozhen., 52:2 (2018),  90–93
6. On linear summability methods of fourier series in polynomials orthogonal in a discrete Sobolev space
   
   Sibirsk. Mat. Zh., 56:2 (2015),  420–435
7. Some extremal problems for algebraic polynomials in loaded spaces
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 2,  53–65
8. An Extremal Problem for Algebraic Polynomials in the Symmetric Discrete Gegenbauer–Sobolev Space
   
   Mat. Zametki, 82:3 (2007),  411–425
9. Symmetric Legendre–Sobolev orthogonal polynomials in the Pontryagin–Sobolev spaces
   
   Mat. Fiz. Anal. Geom., 9:3 (2002),  385–393
10. 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
11. Estimates of polynomials orthogonal with respect to the Legendre–Sobolev inner product
    
    Mat. Zametki, 62:6 (1997),  871–880
12. On quasipotential functions that are associated with orthogonal polynomials
    
    Dokl. Akad. Nauk, 342:5 (1995),  589–591
13. A norm estimation for the generalized quasitranslation operator by orthogonal polynomials
    
    Funktsional. Anal. i Prilozhen., 26:1 (1992),  61–63
14. A generalized shift operator in orthogonal matrix polynomials
    
    Dokl. Akad. Nauk SSSR, 318:2 (1991),  282–284
15. A generalized shift operator and convolution structure for orthogonal polynomials
    
    Dokl. Akad. Nauk SSSR, 298:5 (1988),  1072–1076
16. Fourier series in orthonormal matrix polynomials
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 2,  50–60
17. On orthonormal polynomial bases in weighted Lebesgue spaces
    
    Uspekhi Mat. Nauk, 43:5(263) (1988),  207–208
18. Lattices of invariant subspaces of certain operators
    
    Funktsional. Anal. i Prilozhen., 17:1 (1983),  81–82
19. Weighted estimates for singular integrals and their applications
    
    Itogi Nauki i Tekhn. Ser. Mat. Anal., 21 (1983),  42–129
20. On Fourier–Pollaczek series
    
    Dokl. Akad. Nauk SSSR, 265:4 (1982),  811–815
21. Estimates of weighted norms of some operators generated by multiple trigonometric Fourier series
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 4,  39–50
22. Weighted polynomial approximation of functions of several variables
    
    Sibirsk. Mat. Zh., 23:6 (1982),  133–146
23. 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
24. Weight estimates for the linear mean majorants of Fourier series of orthogonal polynomials
    
    Uspekhi Mat. Nauk, 35:5(215) (1980),  239–240
25. On weighted polynomial approximation of functions of several variables by linear means
    
    Dokl. Akad. Nauk SSSR, 247:6 (1979),  1320–1324
26. Linear methods of summation of double polynomial expansions
    
    Funktsional. Anal. i Prilozhen., 11:1 (1977),  77–78
27. Some linear convergent processes that are generated by periodic functions of two variables
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1976, no. 10,  105–108
28. 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
29. On linear summability methods for Fourier expansions in orthonormal polynomials
    
    Dokl. Akad. Nauk SSSR, 209:1 (1973),  40–42
30. 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
31. Approximation properties of certain linear summablility methods
    
    Sibirsk. Mat. Zh., 13:1 (1972),  153–164
32. Estimate of growth of Lebesgue functions of linear methods of summation
    
    Mat. Zametki, 6:3 (1969),  277–286
33. 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
34. An example of a unicellular Volterra operator with three involutions
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1967, no. 1,  83–87
35. Schwarz's lemma for the $J$-nondilating matrix-functions
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1966, no. 3,  101–108
36. An example of a unicellular Volterra operator with two involutions
    
    Uspekhi Mat. Nauk, 20:6(126) (1965),  143–146


37. Alexandr L'vovich Garkavi (obituary)
    
    Uspekhi Mat. Nauk, 63:3(381) (2008),  147–148