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2013 | OriginalPaper | Buchkapitel

On the Scientific Work of Konstantin Ilyich Oskolkov

verfasst von : Dmitriy Bilyk, Laura De Carli, Alexander Petukhov, Alexander M. Stokolos, Brett D. Wick

Erschienen in: Recent Advances in Harmonic Analysis and Applications

Verlag: Springer New York

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Abstract

This chapter is a brief account of the life and the scientific work of K.I. Oskolkov.

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Nächstes Kapitel K. I. Oskolkov
Literatur
1.
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Oskolkov, K.I.: Convergence of a trigonometric series to a function of bounded variation. Mat. Zametki 8, 47–58 (1970) (Russian)
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Oskolkov, K.I.: Generalized variation, the Banach indicatrix and the uniform convergence of Fourier series, Mat. Zametki 12, 313–324 (1972). MR 47 No 5507 (Russian)
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Oskolkov, K.I.: Fourier sums for the Banach indicatrix. Mat. Zametki 15, 527–532 (1974). MR 50 No 10177 (Russian)
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Oskolkov, K.I.: Estimation of the rate of approximation of a continuous function and its conjugate by Fourier sums on a set of full measure. Izv. Akad. Nauk SSSR Ser. Mat. 38, 1393–1407 (1974). MR 50 No 10663 (Russian)
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Oskolkov, K.I.: An estimate for the approximation of continuous functions by sequences of Fourier sums, Trudy Mat. Inst. Steklov. 134, 240–253 (1975), 410, Theory of functions and its applications (collection of articles dedicated to Sergei Mikhailovich Nikolskii on the occasion of his 70th birthday). MR 53 No 6203 (Russian)
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Oskolkov, K.I.: Lebesgue’s inequality in the uniform metric and on a set of full measure. Mat. Zametki 18, 515–526 (1975). MR 54 No 833 (Russian)
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Oskolkov, K.I.: On strong summability of Fourier series and differentiability of functions. Anal. Math. 2, 41–47 (1976). MR 53 No 6210 (English, with Russian summary)
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Oskolkov, K.I.: The uniform modulus of continuity of summable functions on sets of positive measure. Dokl. Akad. Nauk SSSR 229, 304–306 (1976). MR 57 No 9917 (Russian)
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Oskolkov, K.I.: Approximation properties of integrable functions on sets of full measure. Mat. Sb. (N.S.) 103(145), 563–589 (1977), 631. MR 57 No 13343 (Russian)
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Oskolkov, K.I.: Sequences of norms of Fourier sums of bounded functions, Trudy Mat. Inst. Steklov. 142, 129–142 (1977), 210, Analytic number theory, mathematical analysis and their applications (dedicated to I.M. Vinogradov on his 85th birthday).
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Oskolkov, K.I.: Polygonal approximation of functions of two variables, Mat. Sb. (N.S.) 107(149), 601–612 (1978), 639. MR 81j:41020 (Russian)
23.
Oskolkov, K.I.: Quantitative estimates of N.N. Luzin’s C-property for classes of integrable functions, Approximation Theory (Papers, VIth Semester, Stefan Banach Internat. Math. Center, Warsaw, 1975), Banach Center Publ. 4 PWN, Warsaw (1979), 185–196 MR 81a:26003
24.
Oskolkov, K.I.: Optimality of a quadrature formula with equidistant nodes on classes of periodic functions. Dokl. Akad. Nauk SSSR 249, 49–52 (1979). MR 81b:41077 (Russian)
25.
Oskolkov, K.I.: Lebesgue’s inequality in the mean. Mat. Zametki 25, 551–555 (1979), 636. MR 81c:42005 (Russian)
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Oskolkov, K.I.: The upper bound of the norms of orthogonal projections onto subspaces of polygonals, Approximation Theory (Papers, VIth Semester, Sefan Banach Internat. Math. Center, Warsaw, 1975), Banach Center Publ., 4, PWN, Warsaw (1979), 177–183. MR 82e:41013
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Oskolkov, K.I.: Approximate properties of classes of periodic functions. Mat. Zametki 27, 651–666 (1980). MR 81j:42011 (Russian)
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Oskolkov, K.I.: On optimal quadrature formulas on certain classes of periodic functions. Appl. Math. Optim. 8, 245–263 (1982). MR 83h:41032
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Oskolkov, K.I.: On exponential polynomials of the least Lp-norm, Constructive Function Theory ’81 (Varna, 1981), Publ. House Bulgar. Acad. Sci., Sofia (1983), 464–467. MR 85a:41022
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Oskolkov, K.I.: Luzin’s C-property for a conjugate function. Trudy Mat. Inst. Steklov. 164, 124–135 (1983). Orthogonal series and approximations of functions. MR 86e:42019 (Russian)
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34.
Oskolkov, K.I.: Spectra of uniform convergence. Dokl. Akad. Nauk. SSSR 288, 54–58 (1986). MR 88e:42012 (Russian)
35.
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Oskolkov, K.I.: On functional properties of incomplete Gaussian sums. Canad. J. Math. 43, 182–212 (1991). MR 92e:11083
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Oskolkov, K.I.: I.M. Vinogradov series in the Cauchy problem for Schrödinger-type equations. Trudy Mat. Inst. Steklov. 200, 265–288 (1991). MR 93b:11104 (Russian)
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Oskolkov, K.I.: Ridge approximation, Fourier-Chebyshev analysis, and optimal quadrature formulas. Tr. Mat. Inst. Steklov 219, 269–285 (1997). MR 99j:41036 (Russian)
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Oskolkov, K.I.: Schrödinger equation and oscillatory Hilbert transforms of second degree. J. Fourier Anal. Appl. 4, 341–356 (1998). MR 99j:42004
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Oskolkov, K.I.: On representations of algebraic polynomials by superpositions of plane waves. [J] Serdica Math. J. 28(4), 379–390 (2002). ISSN 0204–4110
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Metadaten
Titel
On the Scientific Work of Konstantin Ilyich Oskolkov
verfasst von
Dmitriy Bilyk
Laura De Carli
Alexander Petukhov
Alexander M. Stokolos
Brett D. Wick
Copyright-Jahr
2013
Verlag
Springer New York
Buch
Recent Advances in Harmonic Analysis and Applications

Print ISBN: 978-1-4614-4564-7

Electronic ISBN: 978-1-4614-4565-4

Copyright-Jahr: 2013

DOI
https://doi.org/10.1007/978-1-4614-4565-4_1