Oskolkov, K. I.; Chakhkiev, M. A. Traces of the discrete Hilbert transform with quadratic phase. (English. Russian original) Zbl 1293.42006 Proc. Steklov Inst. Math. 280, 248-262 (2013); translation from Tr. Mat. Inst. Steklova 280, 255-269 (2013). Reviewer: Sergey S. Volosivets (Saratov) MSC: 42B10 42A16 PDFBibTeX XMLCite \textit{K. I. Oskolkov} and \textit{M. A. Chakhkiev}, Proc. Steklov Inst. Math. 280, 248--262 (2013; Zbl 1293.42006); translation from Tr. Mat. Inst. Steklova 280, 255--269 (2013) Full Text: DOI
Oskolkov, K. I. The Schrödinger density and the Talbot effect. (English) Zbl 1140.42300 Figiel, Tadeuz (ed.) et al., Approximation and probability. Papers of the conference held on the occasion of the 70th anniversary of Prof. Zbigniew Ciesielski, Bȩdlewo, Poland, September 20–24, 2004. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 72, 189-219 (2006). Reviewer: László Leindler (Szeged) MSC: 42A16 11L07 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Banach Cent. Publ. 72, 189--219 (2006; Zbl 1140.42300) Full Text: Link
Oskolkov, K. I. Continued fractions and the convergence of a double trigonometric series. (English) Zbl 1111.30004 East J. Approx. 9, No. 3, 375-383 (2003). MSC: 30B70 40A15 42A10 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, East J. Approx. 9, No. 3, 375--383 (2003; Zbl 1111.30004)
Oskolkov, K. I. On a result of Telyakovskij and multiple Hilbert transforms with polynomial phases. (English. Russian original) Zbl 1064.44003 Math. Notes 74, No. 2, 232-244 (2003); translation from Mat. Zametki 74, No. 2, 242-256 (2003). Reviewer: Mridula Garg (Jaipur) MSC: 44A15 42A16 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Math. Notes 74, No. 2, 232--244 (2003; Zbl 1064.44003); translation from Mat. Zametki 74, No. 2, 242--256 (2003) Full Text: DOI
Oskolkov, K. I. On representations of algebraic polynomials by superpositions of plane waves. (English) Zbl 1039.41003 Serdica Math. J. 28, No. 4, 379-390 (2002). Reviewer: Walter Schempp (Siegen) MSC: 41A10 42A10 41A30 92C55 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Serdica Math. J. 28, No. 4, 379--390 (2002; Zbl 1039.41003) Full Text: EuDML
Oskolkov, K. I. Ridge approximations and the Kolmogorov-Nikol’skij problem. (English. Russian original) Zbl 1053.41023 Dokl. Math. 60, No. 2, 209-212 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 368, No. 4, 445-448 (1999). Reviewer: Yuri V. Kryakin (MR1748153) MSC: 41A30 42A10 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Dokl. Math. 60, No. 2, 445--448 (1999; Zbl 1053.41023); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 368, No. 4, 445--448 (1999)
Oskolkov, K. Schrödinger equation and oscillatory Hilbert transforms of second degree. (English) Zbl 0912.35052 J. Fourier Anal. Appl. 4, No. 3, 341-356 (1998). MSC: 35J10 42A16 11L07 11T24 33B20 PDFBibTeX XMLCite \textit{K. Oskolkov}, J. Fourier Anal. Appl. 4, No. 3, 341--356 (1998; Zbl 0912.35052) Full Text: DOI EuDML
Oskolkov, K. I. Ridge approximation, Chebyshev-Fourier analysis and optimal quadrature formulas. (English. Russian original) Zbl 0936.41013 Proc. Steklov Inst. Math. 219, 265-280 (1997); translation from Tr. Mat. Inst. Steklova 219, 269-285 (1997). Reviewer: W.Schempp (Siegen) MSC: 41A30 41A40 42C10 PDFBibTeX XML
Offin, D.; Oskolkov, K. A note on orthonormal polynomial bases and wavelets. (English) Zbl 0771.42020 Constructive Approximation 9, No. 2-3, 319-325 (1993). MSC: 42C40 42C10 PDFBibTeX XMLCite \textit{D. Offin} and \textit{K. Oskolkov}, Constr. Approx. 9, No. 2--3, 319--325 (1993; Zbl 0771.42020) Full Text: DOI
Oskolkov, K. I. A class of I. M. Vinogradov’s series and its applications in harmonic analysis. (English) Zbl 0815.42003 Gonchar, A. A. (ed.) et al., Progress in approximation theory. An international perspective. Proceedings of the international conference on approximation theory, Tampa, South Florida, USA, March 19-22, 1990. New York: Springer-Verlag. Springer Ser. Comput. Math. 19, 353-402 (1992). Reviewer: M.Jutila (Turku) MSC: 42A16 11L15 42A20 42-02 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Springer Ser. Comput. Math. 19, 353--402 (1992; Zbl 0815.42003)
Oskolkov, K. I. Vinogradov series in the Cauchy problem for equations of Schrödinger type. (English. Russian original) Zbl 0831.35038 Proc. Steklov Inst. Math. 200, 291-315 (1993); translation from Tr. Mat. Inst. Steklova 200, 265-288 (1991). Reviewer: M.Jutila (Turku) MSC: 35J10 42A16 11L15 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, in: Number theory, algebra, mathematical analysis and their applications. Dedicated to the 100th anniversary of the birth of Ivan Matveevich Vinogradov. Providence, RI: American Mathematical Society. 291--315 (1991; Zbl 0831.35038); translation from Tr. Mat. Inst. Steklova 200, 265--288 (1991)
Oskolkov, K. I. Series and integrals of I. M. Vinogradov and their applications. (English. Russian original) Zbl 0789.11047 Proc. Steklov Inst. Math. 190, 193-229 (1992); translation from Tr. Mat. Inst. Steklova 190, 186-221 (1989). MSC: 11L15 42A99 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, in: Theory of functions. Materials of the All-Union school on the theory of functions (Amberd, October 1987). Transl. from the Russian. Providence, RI: American Mathematical Society. 1 (1989; Zbl 0789.11047); translation from Tr. Mat. Inst. Steklova 190, 186--221 (1989)
Oskolkov, K. I. Series and integrals of I. M. Vinogradov and their applications. (Russian) Zbl 0707.11059 Tr. Mat. Inst. Steklova 190, 186-221 (1989). Reviewer: Matti Jutila (Turku) MSC: 11L15 42A99 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Tr. Mat. Inst. Steklova 190, 186--221 (1989; Zbl 0707.11059)
Arkhipov, G. I.; Oskolkov, K. I. On a special trigonometric series and its applications. (English. Russian original) Zbl 0825.42002 Math. USSR, Sb. 62, No. 1, 145-155 (1989); translation from Mat. Sb., Nov. Ser. 134(176), No. 2(10), 147-157 (1987). MSC: 42A10 PDFBibTeX XMLCite \textit{G. I. Arkhipov} and \textit{K. I. Oskolkov}, Math. USSR, Sb. 62, No. 1, 145--155 (1989; Zbl 0825.42002); translation from Mat. Sb., Nov. Ser. 134(176), No. 2(10), 147--157 (1987) Full Text: DOI
Oskolkov, K. I. On continuous functions with polynomial spectra. (Russian) Zbl 0683.42004 Studies in the theory of approximation of functions, Collect. Artic., 187-200 (1987). Reviewer: A.H.Nasr MSC: 42A16 PDFBibTeX XML
Arkhipov, G. I.; Oskolkov, K. I. On a special trigonometric series and its applications. (Russian) Zbl 0665.42003 Mat. Sb., N. Ser. 134(176), No. 2(10), 147-157 (1987). Reviewer: M.S.Rangachari MSC: 42A10 PDFBibTeX XMLCite \textit{G. I. Arkhipov} and \textit{K. I. Oskolkov}, Mat. Sb., Nov. Ser. 134(176), No. 2(10), 147--157 (1987; Zbl 0665.42003) Full Text: EuDML
Oskolkov, K. I. On strong summability of Fourier series. (English) Zbl 0635.42014 Proc. Steklov Inst. Math. 172, 303-314 (1987). MSC: 42A24 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Proc. Steklov Inst. Math. 172, 303--314 (1987; Zbl 0635.42014)
Oskolkov, K. I. Inequalities of the “large sieve” type and applications to problems of trigonometric approximation. (English) Zbl 0654.42004 Anal. Math. 12, No. 2, 143-166 (1986). MSC: 42A10 41A17 42B25 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Anal. Math. 12, No. 2, 143--166 (1986; Zbl 0654.42004) Full Text: DOI
Oskolkov, K. I. Subsequences of Fourier sums of integrable functions. (English) Zbl 0615.42004 Proc. Steklov Inst. Math. 167, 267-290 (1986). MSC: 42A20 41A50 42A10 42A50 42A05 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Proc. Steklov Inst. Math. 167, 267--290 (1986; Zbl 0615.42004)
Oskolkov, K. I. On spectra of uniform convergence. (English. Russian original) Zbl 0609.42007 Sov. Math., Dokl. 33, 616-620 (1986); translation from Dokl. Akad. Nauk SSSR 288, 54-58 (1986). Reviewer: T.Šalát MSC: 42A20 42A55 42A75 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Sov. Math., Dokl. 33, 616--620 (1986; Zbl 0609.42007); translation from Dokl. Akad. Nauk SSSR 288, 54--58 (1986)
Oskolkov, K. I. On strong summability of Fourier series. (Russian) Zbl 0577.42005 Tr. Mat. Inst. Steklova 172, 280-290 (1985). Reviewer: T.Ahobadze MSC: 42A24 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Tr. Mat. Inst. Steklova 172, 280--290 (1985; Zbl 0577.42005)
Oskolkov, K. I. On Luzin’s C-property for a conjugate function. (English) Zbl 0573.26003 Proc. Steklov Inst. Math. 164, 141-153 (1985). MSC: 26A15 42A50 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Proc. Steklov Inst. Math. 164, 141--153 (1985; Zbl 0573.26003)
Oskolkov, K. I. Subsequence of Fourier sums of integrable functions. (Russian) Zbl 0572.42006 Tr. Mat. Inst. Steklova 167, 239-260 (1985). Reviewer: J.Musielak MSC: 42A20 41A50 42A10 42A50 42A05 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Tr. Mat. Inst. Steklova 167, 239--260 (1985; Zbl 0572.42006)
Oskolkov, K. I. Approximative properties of classes of periodic functions. (Russian) Zbl 0486.42003 Mat. Zametki 27, 651-666 (1980). MSC: 42A10 41A15 26A16 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Mat. Zametki 27, 651--666 (1980; Zbl 0486.42003)
Oskolkov, K. I. Lebesgue inequality in the mean. (English) Zbl 0425.42002 Math. Notes 25, 286-288 (1979). MSC: 42A10 42A16 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Math. Notes 25, 286--288 (1979; Zbl 0425.42002) Full Text: DOI
Oskolkov, K. I. Lebesgue’s inequality in the mean. (Russian) Zbl 0414.42002 Mat. Zametki 25, 551-555 (1979). MSC: 42A16 42A10 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Mat. Zametki 25, 551--555 (1979; Zbl 0414.42002)
Oskolkov, K. I. Sequences of norms of Fourier sums of bounded functions. (English. Russian original) Zbl 0433.42004 Proc. Steklov Inst. Math. 143, 137-151 (1980); translation from Tr. Mat. Inst. Steklova 143, 129-142 (1977). MSC: 42A16 42A20 42A24 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Proc. Steklov Inst. Math. 143, 137--151 (1977; Zbl 0433.42004); translation from Tr. Mat. Inst. Steklova 143, 129--142 (1977)
Oskolkov, K. I. An estimate in the approximation of continuous functions by subsequences of Fourier sums. (English) Zbl 0374.42002 Proc. Steklov Inst. Math. 134(1975), 273-288 (1977). MSC: 42A10 41A45 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Proc. Steklov Inst. Math. 134, 273--288 (1977; Zbl 0374.42002)
Oskolkov, K. I. Lebesgue’s inequality in a uniform metric and on a set of full measure. (English) Zbl 0349.42004 Math. Notes 18(1975), 895-902 (1976). MSC: 42A10 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Math. Notes 18, 895--902 (1976; Zbl 0349.42004) Full Text: DOI
Oskolkov, K. I. On strong summability of Fourier series and differentiability of functions. (English) Zbl 0322.42006 Analysis Math. 2, 41-47 (1976). MSC: 42A20 40F05 42A24 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Anal. Math. 2, 41--47 (1976; Zbl 0322.42006) Full Text: DOI
Oskolkov, K. I. An estimate of the rate of approximation of a continuous function and its conjugate by Fourier sums on a set of total measure. (English) Zbl 0315.42008 Math. USSR, Izv. 8(1974), 1372-1386 (1976). MSC: 42A50 42A10 41A45 41A50 40A25 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Math. USSR, Izv. 8, 1372--1386 (1976; Zbl 0315.42008) Full Text: DOI
Oskolkov, K. I. An estimate for the approximation of continuous functions by sequences of Fourier sums. (Russian) Zbl 0359.42002 Tr. Mat. Inst. Steklova 134, 240-253 (1975). MSC: 42A10 41A45 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Tr. Mat. Inst. Steklova 134, 240--253 (1975; Zbl 0359.42002)
Oskolkov, K. I. Lebesgue’s inequality in the uniform metric and on a set of full measure. (Russian) Zbl 0339.42001 Mat. Zametki 18, 515-526 (1975). MSC: 42A10 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Mat. Zametki 18, 515--526 (1975; Zbl 0339.42001)
Oskolkov, K. I. Fourier sums for the Banach indicatrix. (English) Zbl 0322.42015 Math. Notes 15, 309-312 (1974). MSC: 42A38 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Math. Notes 15, 309--312 (1974; Zbl 0322.42015) Full Text: DOI
Oskolkov, K. I. On Fourier sums for the Banach indicatrix. (Russian) Zbl 0315.42013 Mat. Zametki 15, 527-532 (1974). MSC: 42A38 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Mat. Zametki 15, 527--532 (1974; Zbl 0315.42013)
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. (Russian) Zbl 0307.42002 Izv. Akad. Nauk SSSR, Ser. Mat. 38, 1393-1407 (1974). MSC: 42A10 41A45 41A50 40A25 42A50 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Izv. Akad. Nauk SSSR, Ser. Mat. 38, 1393--1407 (1974; Zbl 0307.42002)
Oskolkov, K. I. Sharpness of the Lebesgue estimate for approximation of functions with given modulus of continuity by means of Fourier sums. (English) Zbl 0258.42006 Proc. Steklov Inst. Math. 112(1971), 349-357 (1973). MSC: 42A20 42A16 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Proc. Steklov Inst. Math. 112, 349--357 (1973; Zbl 0258.42006)
Oskolkov, K. I. Generalized variation, the Banach indicatrix, and the uniform convergence of Fourier series. (English) Zbl 0255.42010 Math. Notes 12(1972), 619-625 (1973). MSC: 42A20 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Math. Notes 12, 619--625 (1973; Zbl 0255.42010) Full Text: DOI
Oskolkov, K. I. Subsequences of the Fourier sums of functions with a given modulus of continuity. (English) Zbl 0253.42005 Math. USSR, Sb. 17(1972), 441-465 (1973). MSC: 42A20 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Math. USSR, Sb. 17, 441--465 (1973; Zbl 0253.42005) Full Text: DOI
Oskolkov, K. I. Generalized variation, the Banach indicatrix and the uniform convergence of Fourier series. (Russian) Zbl 0239.42014 Mat. Zametki 12, 313-324 (1972). MSC: 42A24 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Mat. Zametki 12, 313--324 (1972; Zbl 0239.42014)
Oskolkov, K. I. Subsequences of Fourier sums of functions with a prescribed modulus of continuity. (Russian) Zbl 0239.42007 Mat. Sb., N. Ser. 88(130), 447-469 (1972). MSC: 42A20 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Mat. Sb., Nov. Ser. 88(130), 447--469 (1972; Zbl 0239.42007)
Oskolkov, K. I. On the norm of a polynomial operator. (English) Zbl 0236.42002 Sib. Math. J. 12 (1971), 828-833 (1972). MSC: 42A10 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Sib. Math. J. 12, 828--833 (1972; Zbl 0236.42002) Full Text: DOI
Oskolkov, K. I. The sharpness of the Lebesgue estimate for the approximation of functions with prescribed modulus of continuity by Fourier sums. (Die Nichtverschärfbarkeit der Lebesgueschen Abschätzungen für die Approximation von Funktionen mit gegebenem Stetigkeitsmodul vermittels Fourierscher Summen.) (Russian) Zbl 0236.42003 Tr. Mat. Inst. Steklova 112, 337-345 (1971). MSC: 42A10 41A25 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Tr. Mat. Inst. Steklova 112, 337--345 (1971; Zbl 0236.42003)
Oskolkov, K. I. On the norm of a polynomial operator. (Russian) Zbl 0236.42001 Sib. Mat. Zh. 12, 1151-1157 (1971). MSC: 42A10 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Sib. Mat. Zh. 12, 1151--1157 (1971; Zbl 0236.42001)
Oskolkov, K. I. Letter to the editor: The convergence of trigonometric series to functions of bounded variation. (Russian) Zbl 0214.32101 Mat. Zametki 9, 735 (1971). MSC: 42A24 42A05 42A20 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Mat. Zametki 9, 735 (1971; Zbl 0214.32101)
Oskolkov, K. I. The convergence of trigonometric series to functions of bounded variation. (English. Russian original) Zbl 0214.32003 Math. Notes 8(1970), 496-503 (1971); translation from Mat. Zametki 8, 47-58 (1970). MSC: 42A24 42A05 42A20 PDFBibTeX XMLCite \textit{K. I. Oskolkov}, Math. Notes 8, 496--503 (1971; Zbl 0214.32003); translation from Mat. Zametki 8, 47--58 (1970) Full Text: DOI