Alexandr Talalyan's Publications (Full profile)

Paper

  1. Talalyan, A. A., Uniqueness of Fourier-Stieltjes series and harmonic functions, Izv. Nats. Akad. Nauk Armenii Mat., 40, (6), pp. 70--82, (2005)
    Published translation
    J. Contemp. Math. Anal.
    40
    (6)
    , pp. 71--83
    (2006)
  2. Talalian, A. A., Almost everywhere summability of orthogonal series, J. Contemp. Math. Anal. , 35, (4), pp. 65--74, (2000)
    Published translation
    Izv. Nats. Akad. Nauk Armenii Mat.
    35
    (4)
    , pp. 67--76
    (2001)
  3. Talalyan, A. A.; Gevorkyan, G. G.; Karagulyan, G. A., On some linear methods for the summation of Fourier series, Mat. Sb., 189, (5), pp. 129--152, (1998)
    Published translation
    Sb. Math.
    189
    (5-6)
    , pp. 771?795
    (1998)
  4. Talalyan, A. A., On subsystems of a trigonometric system that are complete on sets of positive measure, Izv. Nats. Akad. Nauk Armenii Mat., 30, (5), pp. 94--100, (1995)
    Published translation
    J. Contemp. Math. Anal.
    30
    (5)
    , pp. 75--81
    (1996)
  5. Talalyan, A. A.; Ovsepyan, R. I., D. E. Menshov's representation theorems and their influence on the development of metric function theory, Uspekhi Mat. Nauk , 47, ( 5), pp. 15--44, 207, (1992)
    Published translation
    Russian Math. Surveys
    47
    (5)
    , pp. 13?47
    (1992)
  6. Talalyan, A. A.; Gevorkyan, G. G., Representation of absolutely continuous functions of several variables, Acta Sci. Math. (Szeged), 54, (3-4), pp. 277--283, (1990)
  7. Talalyan, A. A., Uniqueness and integrability of multiple trigonometric series, Trudy Mat. Inst. Steklov, Theory of functions, 190, pp. 234--254, (1989)
    Published translation
    Translated in Proc. Steklov Inst. Math
    (1)
    , pp. 245--265
    (1992)
  8. Talalyan, A. A.; Talalyan, F. A., Representation of absolutely continuous functions in several variables, Izv. Akad. Nauk Armyan. SSR Ser. Mat., 24, (1), pp. 3--21, 99, (1989)
    Published translation
    Soviet J. Contemporary Math. Anal.
    24
    (1)
    , pp. 1?17
    (1989)
  9. Skvortsov, V. A.; Talalyan, A. A., Some problems of the uniqueness of multiple series in the Haar system and a trigonometric system, Mat. Zametki, 46, (2), pp. 104--113, 159, (1989)
    Published translation
    Math. Notes
    46
    (1-2)
    , pp. 646--653
    (1990)
  10. Talalyan, A. A., Some uniqueness properties of multiple trigonometric series and harmonic functions, Izv. Akad. Nauk SSSR Ser. Mat., 52, (3), pp. 621--650, 671, (1988)
    Published translation
    Math. USSR-Izv.
    32
    (3)
    , pp. 627?654
    (1989)
  11. Talalyan, A. A., On the uniqueness of multiple trigonometric series, Mat. Sb. (N.S.), 132, (1), pp. 104--130, 143, (1987)
    Published translation
    Math. USSR-Sb.
    60
    (1)
    , pp. 107?131
    (1988)
  12. Talalyan, A. A., On the uniqueness of multiple trigonometric series and harmonic functions, Dokl. Akad. Nauk SSSR , 294, (4), pp. 796--799, (1987)
  13. Talalyan, A. A., Uniqueness of Haar series that converge in the metrics $L_ p[0,1],$ $0<p<1,$ and in measure, Mat. Sb. (N.S.), 126, (1), pp. 101--114, 144, (1985)
  14. Talalyan, A. A., Uniqueness of double trigonometric series, Izv. Akad. Nauk Armyan. SSR Ser. Mat., 20, (6), pp. 426--462, (1985)
  15. Talalyan, A. A., Dependence of the convergence of orthogonal series on changes in the values of an expanded function, Mat. Zametki , 33, (5), pp. 715--722, (1983)
  16. Talalyan, A. A, The rate of convergence to zero of zero-series in a Haar system, Akad. Nauk Armyan. SSR Dokl., 77, (1), pp. 16--19, (1983)
  17. Talalyan, A. A, The local character of certain properties of complete orthonormal systems. (Russian) Orthogonal series and approximations of functions, Trudy Mat. Inst. Steklov, 164, pp. 155--168, (1983)
  18. Talalyan, A. A., On the connection between properties of completeness and unconditional convergence for orthogonal systems, Mat. Sb. (N.S.) , 117, (4), pp. 516--522, 560, (1982)
  19. Talalyan, A. A., On orthogonal systems that are not systems of unconditional convergence, Akad. Nauk Armyan. SSR Dokl., 74, (1), pp. 12--17, (1982)
  20. Talalyan, A. A., On the approximation properties of some incomplete systems, Mat. Sb. (N.S.) , 115, (4), pp. 499--531, 654, (1981)
  21. Talalyan, A. A., Completeness properties of systems of measurable functions, Approximation and function spaces (Gdansk, 1979), North-Holland, Amsterdam, pp. 771--777, (1981)
  22. Aleksandrjan, R. A.; D?rba?jan, M. M.; Mergeljan, S. N.; Talaljan, A. A., A brief survey of basic mathematical research in Armenia from 1971 to 1975, Izv. Akad. Nauk Armjan. SSR Ser. Mat., 11, (1), pp. 3--24, (1976)
  23. Talaljan, A. A., The convergence of Fourier series in bounded complete orthonormal systems, Izv. Akad. Nauk Armjan. SSR Ser. Mat., 10, (3), pp. 193--206, 289, (1975)
  24. Davtjan, R. S.; Talaljan, A. A., The convergence of series in complete orthogonal systems on sets of positive measure, Izv. Akad. Nauk Armjan. SSR Ser. Mat., 10, (4), pp. 342--355, 387, (1975)
  25. Talaljan, A. A., The representation of functions in the classes $L_{p}\,[0,\,1],\,0<p<1$, by orthogonal series, Acta Math. Acad. Sci. Hungar. , 21, pp. 1--9, (1970)
  26. Ovsepjan, R. I.; Talaljan, A. A., The convergence of orthogonal series to $+\infty $, Mat. Zametki, 8, pp. 129--136, (1970)
  27. Talaljan, A. A., Questions of representation and uniqueness in the theory of orthogonal series, Mathematical analysis, pp. 5--64, (1970)
  28. Talaljan, A. A, Systems with respect to which series represent functions of the classes $L_{p}[0,1], p\geq 1$, Mat. Sb. (N.S.) , 78, pp. 425--445, (1969)
  29. Talaljan, A. A, The existence of series in certain systems of functions, Mat. Zametki , 5, pp. 3--12, (1969)
  30. Talaljan, A. A., Systems with respect to which series represent arbitrary measurable functions, Mat. Sb. (N.S.), 76, pp. 39--51, (1968)
  31. Talaljan, A. A., Systems of functions whose series represent in the metric $L_{p}\,[0,\,1]$ functions of the space $L_{q}\,[0,\,1],\,1\leq p\leq q$, Izv. Akad. Nauk Armjan. SSR Ser. Mat., 3, (4-5), pp. 327--357, (1968)
  32. Osipov, R. I.; Talaljan, A. A., The convergence of orthogonal series to $+\infty $, Mat. Zametki, 2, pp. 483--494, (1967)
  33. Talaljan, A. A., Coefficients of orthogonal zero-series, Izv. Akad. Nauk Armjan. SSR Ser. Mat. , 1, (1), pp. 35--56, (1966)
  34. Talaljan, A. A.; Arutjunjan, F. G., On the convergence to $+\infty $ of the Haar system, Mat. Sb. (N.S.), 66, pp. 240--247, (1965)
  35. Talalyan, A. A, Rearranged trigonometrical systems which are systems of convergence in the weak sense, Mat. Sb. (N.S.), 63, pp. 620--638, (1964)
  36. Talalyan, A. A., Complete systems of unconditional convergence in the weak sense, Izv. Akad. Nauk SSSR Ser. Mat., 28, pp. 713--720, (1964)
  37. Arutjunjan, F. G.; Talaljan, A. A., Uniqueness of series in Haar and Walsh systems, Izv. Akad. Nauk SSSR Ser. Mat. , 28, pp. 1391--1408, (1964)
  38. Alexandr Talalyan, Trigonometric series which are universal with respect to subseries, Izv. Akad. Nauk SSSR Ser. Mat., 27, pp. 621--660, (1963)
  39. Alexandr Talalyan, On the limit functions of series in terms of the basis of an $L_{p}$ space, Mat. Sb. (N.S.), 56, (5), pp. 353--374, (1962)
  40. Alexandr Talalian, On the representation of measurable functions by integrals with kernels which are unitary transformations of the space $L_{2}\,(0,\,\infty )$, Mat. Sb. (N.S.), 53, pp. 287--312, (1961)
  41. Alexandr Talalyan, The existence of a trigonometric series universal with respect to its subseries, Dokl. Akad. Nauk SSSR , 138, pp. 317--319, (1961)
  42. Mergelian, S. N.; Talalian, A. A., On a class of pointwise discontinuous functions, Akad. Nauk Armjan. SSR Dokl., 32, pp. 183--187, (1961)
  43. Alexandr Talalyan, On convergence of Fourier series to $\infty $. , Izv. Akad. Nauk Armjan. SSR Ser. Fiz.-Mat. Nauk , 14, (3), pp. 35--41, (1961)
  44. Alexander Talalian, Series universal with respect to rearrangement, Izv. Akad. Nauk SSSR. Ser. Mat., 24, pp. 567--604, (1960)
  45. Alexandr Talalyan, The representation of measurable functions by series, Uspehi Mat. Nauk, 15, (5), pp. 77--141, (1960)
    Published translation
    Russian Math. Surveys
    15
    ( 5)
    , pp. 75--136
    (1960)
  46. Talalyan, A. A.; Kegejan, È. M., On polynomial approximation in the mean in the unit circle, Akad. Nauk Armjan. SSR Dokl., 31, pp. 3--8, (1960)
  47. Alexandr Talalyan, Limit functions of series in terms of the bases of an $L_{p}$ space, Akad. Nauk Armjan. SSR Dokl, 30, pp. 129--134, (1960)
  48. Alexandr Talalian, On the convergence and summability almost everywhere of general orthogonal series, Izv. Akad. Nauk Armjan. SSR Ser. Fiz.-Mat. Nauk , 13, (2), pp. 31--61, (1960)
  49. Alexander Talalian, Summing of series of $L_{p}\,[a,\,b]$ space bases, $p>1$ by Cesàro's method, Dokl. Akad. Nauk SSSR , 124, pp. 987--989, (1959)
  50. Alexander Talalian, Universal orthogonal series, Izv. Akad. Nauk Armyan. SSR. Ser. Fiz.-Mat. Nauk , 12, (1), pp. 27--42, (1959)
  51. Alexander Talalian, On series of bases of $L_{p}$ space which are universal with respect to permutations, Akad. Nauk Armyan. SSR. Dokl., 28, pp. 145--150, (1959)
  52. Alexander Talalian, Representation of an arbitrary measurable function by series in functions of a Schauder system, Izv. Akad. Nauk Armjan. SSR Ser. Fiz.-Mat. Nauk, 12, (3), pp. 3--14, (1959)
  53. Alexander Talalian, On the representation of measurable functions by series, Izv. Akad. Nauk Armjan. SSR Ser. Fiz.-Mat. Nauk , 12, (2), pp. 3--19, (1959)
  54. Alexander Talalian, Integral representation of measurable functions with kernels generating unitary transformations of the space $L_2\,(0,\,\infty )$, Akad. Nauk Armyan. SSR. Dokl, 26, pp. 257--261, (1958)
  55. Alexander Talalian, On the convergence almost everywhere of subsequences of partial sums of general orthogonal series, Akad. Nauk Armyan. SSR. Izv. Fiz.-Mat. Estest. Tehn. Nauki , 10, (3), pp. 17--34, (1957)
  56. Alexander Talalian, On convergence in measure of series in bases of the space $L_{p}$, Izv. Akad. Nauk Armyan. SSR. Ser. Fiz.-Mat. Nauk , 10, (1), pp. 31--68, (1957)
  57. Alexander Talalian, On convergence of orthogonal series, Dokl. Akad. Nauk SSSR, 110, pp. 515--516, (1956)