| Full list of publications: |
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 2013 |
| 1. |
K. I. Oskolkov, M. A. Chahkiev, “Traces of the discrete Hilbert transform with quadratic phase”, Proc. Steklov Inst. Math., 280 (2013), 248–262     (cited: 3)   (cited: 2) |
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| 2010 |
| 2. |
K. I. Oskolkov, M. A. Chakhkiev, “On Riemann “nondifferentiable” function and Schrödinger equation”, Proc. Steklov Inst. Math., 269 (2010), 186–196  (cited: 3) (cited: 1) |
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| 2008 |
| 3. |
K. I. Oskolkov, “Linear and Nonlinear Methods of Relief Approximation”, Journal of Mathematical Sciences, 155:1 (2008), 129–152 (cited: 2) |
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| 2005 |
| 4. |
K. I. Oskolkov, “The Series $\sum\sum\frac{e^{2\pi imnx}}{mn}$ and a Problem of Chowla”, Proc. Steklov Inst. Math., 248 (2005), 197–215 |
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| 2003 |
| 5. |
K. I. Oskolkov, “On a Result of Telyakovskii and Multiple Hilbert Transforms with Polynomial Phases”, Math. Notes, 74:2 (2003), 232–244 |
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| 1997 |
| 6. |
K. I. Oskolkov, “Ridge Approximation, Chebyshev–Fourier Analysis and Optimal Quadrature Formulas”, Proc. Steklov Inst. Math., 219 (1997), 265–280 |
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| 1993 |
| 7. |
K. I. Oskolkov, “Vinogradov series in the Cauchy problem for equations of Schrödinger type”, Proc. Steklov Inst. Math., 200 (1993), 291–315 |
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| 1992 |
| 8. |
K. I. Oskolkov, “Vinogradov's series and integrals and their applications”, Proc. Steklov Inst. Math., 190 (1992), 193–229 |
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| 1988 |
| 9. |
K. I. Oskolkov, “Properties of a class of I. M. Vinogradov series”, Dokl. Math., 37:3 (1988), 737–741 |
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| 1989 |
| 10. |
G. I. Arkhipov, K. I. Oskolkov, “On a special trigonometric series and its applications”, Math. USSR-Sb., 62:1 (1989), 145–155 |
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| 1986 |
| 11. |
K. I. Oskolkov, “Spectra of uniform convergence”, Dokl. Akad. Nauk SSSR, 288:1 (1986), 54–58 |
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| 1987 |
| 12. |
K. I. Oskolkov, “On strong summability of Fourier series”, Proc. Steklov Inst. Math., 172 (1987), 303–314 |
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| 1986 |
| 13. |
K. I. Oskolkov, “A subsequence of Fourier sums of integrable functions”, Proc. Steklov Inst. Math., 167 (1986), 267–290 |
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| 1985 |
| 14. |
K. I. Oskolkov, “Luzin's $C$-property for a conjugate function”, Proc. Steklov Inst. Math., 164 (1985), 141–153 |
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| 1983 |
| 15. |
K. I. Oskolkov, “Partial sums of the Taylor series of a bounded analytic function”, Proc. Steklov Inst. Math., 157 (1983), 165–172 |
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| 1980 |
| 16. |
K. I. Oskolkov, “Approximate properties of classes of periodic functions”, Mat. Zametki, 27:4 (1980), 651–666 |
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| 1979 |
| 17. |
K. I. Oskolkov, “Lebesgue inequality in the mean”, Math. Notes, 25:4 (1979), 286–288 |
| 18. |
K. I. Oskolkov, “On the optimality of the quadrature formula with equidistant nodes on classes of periodic functions”, Dokl. Akad. Nauk SSSR, 249:1 (1979), 49–52 |
| 19. |
K. I. Oskolkov, “Polygonal approximation of functions of two variables”, Math. USSR-Sb., 35:6 (1979), 851–861 (cited: 1) |
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| 1977 |
| 20. |
K. I. Oskolkov, “Approximation properties of summable functions on sets of full measure”, Math. USSR-Sb., 32:4 (1977), 489–514 (cited: 19) |
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| 1980 |
| 21. |
K. I. Oskolkov, “Sequences of norms of Fourier sums of bounded functions”, Proc. Steklov Inst. Math., 143 (1980), 137–151 |
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| 1976 |
| 22. |
K. I. Oskolkov, “Uniform modulus of continuity of summable functions on sets of positive measure”, Dokl. Akad. Nauk SSSR, 229:2 (1976), 304–306 |
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| 1975 |
| 23. |
K. I. Oskolkov, “Lebesgue's inequality in a uniform metric and on a set of full measure”, Math. Notes, 18:4 (1975), 895–902 |
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| 1977 |
| 24. |
K. I. Oskolkov, “An estimate for the approximation of continuous functions by sequences of Fourier sum”, Proc. Steklov Inst. Math., 134 (1977), 273–288 |
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| 1974 |
| 25. |
K. I. Oskolkov, “An estimate of the rate of approximation of a continuous function and its conjugate by Fourier sums on a set of total measure”, Math. USSR-Izv., 8:6 (1974), 1372–1386 |
| 26. |
K. I. Oskolkov, “Fourier sums for the Banach indicatrix”, Math. Notes, 15:4 (1974), 309–312 |
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| 1972 |
| 27. |
K. I. Oskolkov, “Generalized variation, the Banach indicatrix, and the uniform convergence of Fourier series”, Math. Notes, 12:3 (1972), 619–625 |
| 28. |
K. I. Oskolkov, “Subsequences of the Fourier sums of functions with a given modulus of continuity”, Math. USSR-Sb., 17:3 (1972), 441–465 |
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| 1971 |
| 29. |
K. I. Oskolkov, “The sharpness of the Lebesgue estimate for the approximation of functions with prescribed modulus of continuity by Fourier sums”, Proc. Steklov Inst. Math., 112 (1971), 349–357 |
| 30. |
K. I. Oskolkov, “Letter to the editor”, Mat. Zametki, 9:6 (1971), 735 |
| 31. |
K. I. Oskolkov, “The norm of a certain polynomial operator”, Siberian Math. J., 12:5 (1971), 828–833 |
| 32. |
K. I. Oskolkov, S. B. Stechkin, S. A. Telyakovskii, “Petr Vasil'evich Galkin”, Math. Notes, 10:6 (1971), 787–789 |
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| 1970 |
| 33. |
K. I. Oskolkov, “The convergence of trigonometric series to functions of bounded variation”, Math. Notes, 8:1 (1970), 496–503 |
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