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Oskolkov, Konstantin Il'ich
(1946–2024)

Statistics
in MathSciNet: 33 (32)
in zbMATH: 32 (31)
in Web of Science: 6 (6)
in Scopus: 5 (5)
Professor
Doctor of physico-mathematical sciences (1972)
Birth date: 17.02.1946
Website: http://www.math.sc.edu/konstantin-oskolkov
Keywords: Fourier Series, Approximation, Oscillatory Sums and Integrals, Schrödinger type equations, Wavelets and Bases.

https://www.mathnet.ru/eng/person18311
List of publications on Google Scholar
https://zbmath.org/authors/ai:oskolkov.konstantin-i
https://mathscinet.ams.org/mathscinet/MRAuthorID/199229
https://www.researchgate.net/profile/K_Oskolkov

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)
1. K. I. Oskolkov, “Approximation properties of summable functions on sets of full measure”, Math. USSR-Sb., 32:4 (1977), 489–514  mathnet  crossref  mathscinet  zmath  isi
2. K. I. Oskolkov, “Ridge Approximation, Chebyshev–Fourier Analysis and Optimal Quadrature Formulas”, Proc. Steklov Inst. Math., 219 (1997), 265–280  mathnet  mathscinet  zmath
3. G. I. Arkhipov, K. I. Oskolkov, “On a special trigonometric series and its applications”, Math. USSR-Sb., 62:1 (1989), 145–155  mathnet  crossref  mathscinet  zmath
4. K. I. Oskolkov, “Uniform modulus of continuity of summable functions on sets of positive measure”, Dokl. Akad. Nauk SSSR, 229:2 (1976), 304–306  mathnet  mathscinet  zmath
5. K. I. Oskolkov, “A subsequence of Fourier sums of integrable functions”, Proc. Steklov Inst. Math., 167 (1986), 267–290  mathnet  mathscinet  zmath
6. K. I. Oskolkov, “Generalized variation, the Banach indicatrix, and the uniform convergence of Fourier series”, Math. Notes, 12:3 (1972), 619–625  mathnet  crossref  mathscinet  zmath
7. K. I. Oskolkov, M. A. Chahkiev, “Traces of the discrete Hilbert transform with quadratic phase”, Proc. Steklov Inst. Math., 280 (2013), 248–262  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
8. 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  mathnet  crossref  mathscinet  zmath
9. K. I. Oskolkov, “Lebesgue's inequality in a uniform metric and on a set of full measure”, Math. Notes, 18:4 (1975), 895–902  mathnet  crossref  mathscinet  zmath
10. 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  mathnet  mathscinet  zmath
11. K. I. Oskolkov, M. A. Chakhkiev, “On Riemann “nondifferentiable” function and Schrödinger equation”, Proc. Steklov Inst. Math., 269 (2010), 186–196  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
12. K. I. Oskolkov, “On strong summability of Fourier series”, Proc. Steklov Inst. Math., 172 (1987), 303–314  mathnet  mathscinet  zmath
13. K. I. Oskolkov, “An estimate for the approximation of continuous functions by sequences of Fourier sum”, Proc. Steklov Inst. Math., 134 (1977), 273–288  mathnet  mathscinet  zmath
14. 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  mathnet  mathscinet  zmath
15. K. I. Oskolkov, “Polygonal approximation of functions of two variables”, Math. USSR-Sb., 35:6 (1979), 851–861  mathnet  crossref  mathscinet  zmath  isi
16. K. I. Oskolkov, “Subsequences of the Fourier sums of functions with a given modulus of continuity”, Math. USSR-Sb., 17:3 (1972), 441–465  mathnet  crossref  mathscinet  zmath
17. K. I. Oskolkov, “Vinogradov series in the Cauchy problem for equations of Schrödinger type”, Proc. Steklov Inst. Math., 200 (1993), 291–315  mathnet  mathscinet  zmath
18. K. I. Oskolkov, “Vinogradov's series and integrals and their applications”, Proc. Steklov Inst. Math., 190 (1992), 193–229  mathnet  mathscinet  zmath
19. K. I. Oskolkov, “Linear and Nonlinear Methods of Relief Approximation”, Journal of Mathematical Sciences, 155:1 (2008), 129–152  mathnet  crossref  mathscinet  zmath  scopus
20. K. I. Oskolkov, “On a Result of Telyakovskii and Multiple Hilbert Transforms with Polynomial Phases”, Math. Notes, 74:2 (2003), 232–244  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
21. K. I. Oskolkov, “Spectra of uniform convergence”, Dokl. Akad. Nauk SSSR, 288:1 (1986), 54–58  mathnet  mathscinet  zmath
22. 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  mathnet  mathscinet  zmath
23. K. I. Oskolkov, “Luzin's $C$-property for a conjugate function”, Proc. Steklov Inst. Math., 164 (1985), 141–153  mathnet  mathscinet  zmath
24. K. I. Oskolkov, “Partial sums of the Taylor series of a bounded analytic function”, Proc. Steklov Inst. Math., 157 (1983), 165–172  mathnet  mathscinet  zmath
25. K. I. Oskolkov, “Approximate properties of classes of periodic functions”, Mat. Zametki, 27:4 (1980), 651–666  mathnet  mathscinet  zmath
26. K. I. Oskolkov, “Lebesgue inequality in the mean”, Math. Notes, 25:4 (1979), 286–288  mathnet  crossref  mathscinet  zmath
27. K. I. Oskolkov, “Sequences of norms of Fourier sums of bounded functions”, Proc. Steklov Inst. Math., 143 (1980), 137–151  mathnet  mathscinet  zmath
28. K. I. Oskolkov, “Fourier sums for the Banach indicatrix”, Math. Notes, 15:4 (1974), 309–312  mathnet  crossref  mathscinet  zmath
29. K. I. Oskolkov, “Letter to the editor”, Mat. Zametki, 9:6 (1971), 735  mathnet  zmath
30. K. I. Oskolkov, “The convergence of trigonometric series to functions of bounded variation”, Math. Notes, 8:1 (1970), 496–503  mathnet  crossref  mathscinet  zmath
31. V. I. Berdyshev, O. V. Besov, B. S. Kashin, S. V. Konyagin, Yu. V. Malykhin, K. I. Oskolkov, A. S. Telyakovskii, D. S. Telyakovskii, V. N. Temlyakov, N. N. Kholshchevnikova, “Sergei Aleksandrovich Telyakovskii”, Proc. Steklov Inst. Math. (Suppl.), 319, suppl. 1 (2022), S7–S11  mathnet  crossref  crossref  mathscinet  isi  elib
32. K. I. Oskolkov, “Properties of a class of I. M. Vinogradov series”, Dokl. Math., 37:3 (1988), 737–741  mathnet  mathscinet  zmath
33. K. I. Oskolkov, “The norm of a certain polynomial operator”, Siberian Math. J., 12:5 (1971), 828–833  mathnet  crossref  mathscinet  zmath  scopus
34. K. I. Oskolkov, S. B. Stechkin, S. A. Telyakovskii, “Petr Vasil'evich Galkin”, Math. Notes, 10:6 (1971), 787–789  mathnet  crossref  mathscinet  zmath

Presentations in Math-Net.Ru
1. Êâàäðàòóðû è ðèäæ-àïïðîêñèìàöèÿ.
K. I. Oskolkov
Seminar on Theory of Functions of Real Variables
February 19, 2021 18:30   
2. On a special trigonometric series and its applications, as well as the memories
K. I. Oskolkov
International conference on Analytic Number Theory dedicated to 75th anniversary of G. I. Arkhipov and S. M. Voronin
December 16, 2020 17:00   
3. Î ìóëüòèôðàêòàëàõ
K. I. Oskolkov
Seminar on Approximation Theory
November 3, 2011 10:30

Organisations