List of Publications of S.A. Vinogradov

  • Victor P. Havin
  • Nikolai K. Nikolski
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  1. [1]
    S. A. Vinogradov, On the interpolation and zeros of power series with a sequence of coefficients in l P,Dokl. Akad. Nauk SSSR, 160 (1965), no.2, 262–266 (Russian); English transl. in Soviet Math. Dokl, 6 (1965), no. 1, 57–61.Google Scholar
  2. [2]
    S. A. Vinogradov, On the interpolation of power series which converge absolutely on the unit circle, Vestnik Leningrad. Univ. 2 (1965), no. 7, 30–44 (Russian).Google Scholar
  3. [3]
    S. A. Vinogradov, The interpolation of power series whose sequence of coefficients is from l P, Funkcional. Anal. i Priložen., 1 (1967), no. 3, 83–85 (Russian).Google Scholar
  4. [4]
    S. A. Vinogradov, Interpolation problems for analytic functions continuous in the closed disk and for functions whose sequence of coefficients is in l P, Avtoreferat dissertatsii na soiskanie uchenoy stepeni kandidata fiziko-matematicheskih nauk, pp. 19, Leningradskiy Gosudarstvenniy Universitet, 1968 (Russian); English transl. in this volume.Google Scholar
  5. [5]
    S. A. Vinogradov, Interpolation problems for analytic functions continuous in the closed disc and for functions with coefficient sequence in l P, PhD Thesis. Leningrad State University, 1968, p. 1–207 (Russian).Google Scholar
  6. [6]
    S. A. Vinogradov, Paley singularities and Rudin-Carleson interpolation theorems for certain classes of analytic functions,Dokl. Akad. Nauk SSSR, 178 (1968), no. 3, 511–514 (Russian); English transl. in Soviet Math. Dokl, 9 (1968), no. 1, 111–115.MathSciNetGoogle Scholar
  7. [7]
    S. A. Vinogradov, Interpolation theorems of Banach-Rudin-Carleson and norms of embedding operators for certain classes of analytic functions, Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 19 (1970), 6–54 (Russian); English transl. in Journ. of Soviet Math., 19 (1972), 1–28.Google Scholar
  8. [8]
    S. A. Vinogradov, M. G. Goluzina, and V. P. Havin, Multipliers and divisors of Cauchy-Stieltjes type integrals, Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 19 (1970), 55–78 (Russian); English transl. in Journ. of Soviet Math., 19 (1972), 29–42.MathSciNetGoogle Scholar
  9. [9]
    S. A. Vinogradov and N. A. Širokov, The factorization of analytic functions with derivative in H P, Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 22 (1971), 8–27 (Russian); English transl. in Journ. of Soviet Math., 2 (1973), 68–83.MATHGoogle Scholar
  10. [10]
    S. A. Vinogradov, Interpolation by power series that converge uniformly in the unit disc, Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 30 (1972), 5–14 (Russian); English transl. in Journ. of Soviet Math., 4 (1975), 303–312.MATHGoogle Scholar
  11. [11]
    S. A. Vinogradov and N. A. Širokov, Zeros of analytic functions with a derivative in H 1, Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 30 (1972), 154–157 (Russian); English transl. in Journ. of Soviet Math.,4 (1975), 434–440.MATHGoogle Scholar
  12. [12]
    S. A. Vinogradov, Multipliers of power series with sequence of coefficients from l PZap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 39 (1974), 30–39 (Russian); English transl. in Journ. of Soviet Math., 8 (1977), 20Š27.MATHGoogle Scholar
  13. [13]
    S. A. Vinogradov and V. P. Havin, Free interpolation in H ∞ and in certain other classes of functions. I, Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 47 (1974), 15 H–54, 184–185, 191 (Russian); English transl. in Journ. of Soviet Math., 9 (1978), 137–171.MathSciNetMATHGoogle Scholar
  14. [14]
    S. A. Vinogradov, Properties of multipliers of integrals of Cauchy-Stieltjes type, and some problems of factorization of analytic functions, In: Mathematical programming and related questions (Proc. Seventh Winter School, Drogobych, 1974), Theory of functions and functional analysis, 5–39. Central Ekonom.-Mat. Inst. Akad. Nauk SSSR, Moscow, 1976 (Russian); English transl. in Amer. Soc. Transl., (2) 115 (1980), 1–32.Google Scholar
  15. [15]
    S. A. Vinogradov, Bases of exponential functions and free interpolation in Ba nach spaces with L P -norm, Zap. Naučn. Sem. Leningrad. Otdel Mat. Inst. Steklov. (LOMI), 65 (1976), 17–68, 203 (Russian); English transl. in Journ. of Soviet Math., 16 (1981), 1035–1060.MATHGoogle Scholar
  16. [16]
    S. A. Vinogradov and V. P. Havin, Free interpolation in H ∞ and in certain other classes of functions. II, Zap. Naučn Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 56 (1976), 12–58, 195 (Russian); English transl. in Journ. of Soviet Math., 14 (1980), 1027–1065.MathSciNetMATHGoogle Scholar
  17. [17]
    S. A. Vinogradov, Convergence almost everywhere of the Fourier series of functionsin L 2 and the behavior of the coefficients of uniformly convergent Fourier series, Dokl. Akad. Nauk SSSR, 230 (1976), no. 3, 508–511 (Russian); English transl. in Soviet Math. Dokl, 17 (1976), no. 5, 1323–1327.MathSciNetGoogle Scholar
  18. [18]
    S. A. Vinogradov, Continuity of perturbed integral operators, Cauchy type integrals, maximal operators, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 73 (1977), 24–34, 229–230 (1978) (Russian); English transl. in Journ. of Soviet Math., 34 (1986), 2033–2039.MathSciNetMATHGoogle Scholar
  19. [19]
    S. A. Vinogradov, Multiplication and division of power series with coefficient sequence in l P, Zap. Nauch. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 81 (1978), 260–262 (Russian); English transl. in Journ. of Soviet Math., 26 (1984), no. 5.Google Scholar
  20. [20]
    S. A. Vinogradov, V. P. Havin, Letter to the editors, Zap. Nauch. Semin. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 92 (1979), 317 (Russian).MathSciNetGoogle Scholar
  21. [21]
    S. A. Vinogradov, Multiplicative properties of power series with a sequence of coefficients from l PDokl. Akad. Nauk SSSR, 254 (1980), no. 6, 1301–1306 (Russian); English transl. in Soviet Math. Dokl22 (1980), no. 2, 560–565.MathSciNetGoogle Scholar
  22. [22]
    S. A. Vinogradov,Simultaneous interpolation by analytic functions with small sets of singularities, In: “All-Union symposium on approximation theory of functions in complex region”. Summaries of reports. Ufa, 1980, p. 27 (Russian).Google Scholar
  23. [23]
    S. V. Hruščev and S. A. Vinogradov, Free interpolation in the space of uniformly convergent Taylor series, In: Complex analysis and spectral theory (Leningrad, 1979/1980), Lecture Notes in Math., 864 (1981), 171–213.CrossRefGoogle Scholar
  24. [24]
    S. V. Hruščev and S. A. Vinogradov, Inner functions and multipliers of Cauchy type integrals, Ark. Mat. 19 (1981), no. 1, 23ščev 42.MathSciNetCrossRefGoogle Scholar
  25. [25]
    S. A. Vinogradov and A. M. Kotočigov, Some remarks on interpolation by analytic functions that belong to Besov spaces B p0, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 113, (1981) 215–217, 269 (Russian); English transl. in Journ. of Soviet Math., 22 (1983), 1840–1841.MathSciNetMATHGoogle Scholar
  26. [26]
    S. A. Vinogradov, On free interpolation in Bergman spaces, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 113 (1981), 208–211, 268 (Russian); English transl. in Journ. of Soviet Math., 22 (1983), 1835–1837.MathSciNetMATHGoogle Scholar
  27. [27]
    S. A. Vinogradov, E. A. Gorin, and S. V. Hruščev, Free interpolation in H ∞ in the sense of P. Jones, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 113 (1981), 212–214, 268 (Russian); English transl. in Journ. of Soviet Math., 22 (1983), 1838–1839.MathSciNetMATHGoogle Scholar
  28. [28]
    S. A. Vinogradov, A strengthening of Kolmogorov’s theorem on the conjugate function and interpolational properties of uniformly converging power series, Trudy Mat. Inst. Steklov, 155 (1981), 7–40, 183 (Russian); English transl. in Proc. Steklov Inst. Math. 155 (1981), 3–37.MathSciNetMATHGoogle Scholar
  29. [29]
    S. A. Vinogradov and P. Stoilov, Estimates of the norm of holomorphic components of meromorphic functions in the unit disc, C. R. Acad. Bulgare Sci., 34 (1981), no. 7, 931–934 (Russian).MathSciNetMATHGoogle Scholar
  30. [30]
    S. A. Vinogradov and S. E. Rukshin, On the free interpolation of germs of analytic functions in Hardy spaces,Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 107 (1982), 36–45, 229 (Russian); English transl. in Journ. of Soviet Math., 36 (1987), 319–325.MathSciNetMATHGoogle Scholar
  31. [31]
    S. A. Vinogradov, Free interpolation in spaces of analytic functions, Avtoreferat dissertatsii na soiskanie uchenoy stepeni doktora fiziko-matematicheskih nauk, Leningradskoe Otdelenie Matematicheskogo Instituta im. V.A.Steklova AN SSSR, 1983 (Russian); English transl. in this volume.Google Scholar
  32. [32]
    S. A. Vinogradov, Free interpolation in spaces of analytic functions, Doctor Thesis, Steklov Inst. Math., Leningrad, 1983 (Russian).Google Scholar
  33. [33]
    S. A. Vinogradov, Some remarks on free interpolation by bounded and slowly growing analytic functions, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 126 (1983), 35–46 (Russian); English transl. in Journ. of Soviet Math. 27 (1984), 2450–2458.MathSciNetMATHGoogle Scholar
  34. [34]
    S. A. Vinogradov, Spaces of analytic multipliers and free interpolation on thin sets, ICM, Warszawa. 1982, 1983, vol. V (Russian).Google Scholar
  35. [35]
    S. A. Vinogradov, Analogues of L. Carleson’s embedding theorem for some spaces of analytic functions, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 141 (1985), 144–148, 190 (Russian); English transl. in Journ. of Soviet Math., 37 (1987), 1347–1349.MathSciNetMATHGoogle Scholar
  36. [36]
    S. A. Vinogradov, Multiplicative properties of l Ap, Lecture Notes in Math., 1043 (1987), 572–574.Google Scholar
  37. [37]
    S. A. Vinogradov, D. A. Vladimirov, M. K. Gavurin, S. M. Ermakov, B. M. Makarov, G. I. Natanson, M. Z. Solomyak, D. K. Faddeev, V. P. Khavin, Grigori ĭ Mikha ĭlovich Fikhtengolts (on the 100th anniversary of his birth), Vestnik Leningrad. Univ. Mat. Mekh. Astronom, 3(1988), 3–6 (Russian).MathSciNetGoogle Scholar
  38. [38]
    S. A. Vinogradov, The Blaschke condition and sets of uniqueness for some subclasses of Hardy spaces, Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1990, vyp. 2, 1822, 120 (Russian); English transl. in Vestnik Leningrad Univ. Math. 23 (1990), no. 2, 18–22.MATHGoogle Scholar
  39. [39]
    S. A. Vinogradov, Analogues of L. Carleson’s embedding theorem for some Hilbert spaces of analytic functions, Zap. Nauchn. Sem. S.-Petersburg. Otdel. Mat. Inst. Steklov. (POMI), 206 (1993), 40–54, 174 (Russian); English transl. in J. Math. Sci., 80 (1996), no. 4.MATHGoogle Scholar
  40. [40]
    S. A. Vinogradov, Multiplicative properties of some L P -spaces of analytic functions, Summaries of reports of the All-Russian seminar “Function theory”. Syktyvkar GU, 1993, pp. 10–11 (Russian).Google Scholar
  41. [41]
    S. A. Vinogradov, Multiplicative properties of l Ap, Lecture Notes in Math., 1574 (1994), Part II, 283–285.Google Scholar
  42. [42]
    S. A. VinogradovMultiplication and division in the space of analytic functions with an area-integrable derivative, and in some related spaces, Zap. Nauchn. Sem. S.-Petersburg. Otdel. Mat. Inst. Steklov. (POMI), 222 (1995), 45–77, 308 (Russian); English transl. in J. Math. Sci., 87 (1997), no. 5.Google Scholar
  43. [43]
    ] S. A. Vinogradov and A. N. Petrov, The converse to a theorem on the action of analytic functions, and multiplicative properties of some subclasses of the Hardy space H ∞Zap. Nauchn. Sem. S.-Petersburg. Otdel. Mat. Inst. Steklov. (POMI),232 (1996), 50–72, 214 (Russian); English transl. in J. Math. Sci.Google Scholar

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© Springer Basel AG 2000

Authors and Affiliations

  • Victor P. Havin
    • 1
  • Nikolai K. Nikolski
    • 2
  1. 1.Department of MathematicsSt. Petersburg UniversityStary Peterhof, St. PetersburgRussia
  2. 2.Laboratoire de Mathématiques PuresUFR de Mathématiques et Informatique Université de Bordeaux ITalence CedexFrance

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