References

  1. Abdullayev F.G., Bushev D.M., Imashkyzy M., Kharkevych Yu.I. Isometry of the subspaces of solutions of systems of differential equations to the spaces of real functions. Ukrainian Math. J. 2020, 71 (8). 1153–1172. doi:10.1007/s11253-019-01705-9 (translation of Ukrain. Mat. Zh. 2019, 71 (8), 1011–1027. (in Ukrainian))
  2. Akhiezer N.I. Lectures on Approximation Theory. Nauka, Moskow, 1965. (in Russian)
  3. Bochner S. Lectures on Fourier Integrals. Fizmatgiz, Moskow, 1962. (in Russian)
  4. Bushev D.M. Isometry of functional spaces with diferent number of variables. Ukrainian Math. J. 1998, 50 (8), 1170–1191. doi:10.1007/BF02513090 (translation of Ukrain. Mat. Zh. 1998, 50 (8), 1027–1045. (in Ukrainian))
  5. Bushev D.M., Kharkevych Yu.I. Finding solution subspaces of the Laplace and heat equations isometric to spaces of real functions and some of their applications. Math. Notes 2018, 103 (5–6), 869–880. doi:10.1134/S0001434618050231
  6. Bushev D.M., Kharkevych Yu.I. Conditions of convergence almost everywhere for the convolution of a function with delta-shaped kernel to this function. Ukrainian Math. J. 2016, 67 (11) 1643–1661. doi:10.1007/s11253-016-1180-y (translation of Ukrain. Mat. Zh. 2015, 67 (11), 1461–1476. (in Ukrainian))
  7. Bushev D.N. Isometry of the functional spaces with different number of variables and some its applications in the theory of approximation of functions. J. Autom. Inf. Sci. 2019, 51 (1), 70–77. doi:10.1615/JAutomatInfScien.v51.i1.70
  8. Bushev D.N. On some applications of isometry of functional spaces in applied mathematics. J. Autom. Inf. Sci. 2020, 52 (2), 53–62. doi:10.1615/JAutomatInfScien.v52.i2.50
  9. Hembars’ka S.B. On Boundary values of three-harmonic Poisson integral on the boundary of a unit disk. Ukrainian Math. J. 2018, 70 (7), 1012–1021. doi:10.1007/s11253-018-1548-2 (translation of Ukrain. Mat. Zh. 2018, 70 (7), 876–884. (in Ukrainian))
  10. Kal’chuk I.V., Kharkevych Yu.I. Complete asymptotics of the approximation of function from the Sobolev classes by the Poisson integrals. Acta Comment. Univ. Tartu. Math. 2018, 22 (1), 23–36. doi:10.12697/ACUTM.2018.22.03
  11. Korneichuk N.P. Extremal Problems of Approximation Theory. Nauka, Moskow, 1976. (in Russian)
  12. Natanson I.P. Theory of Functions of a Real Variable. Nauka, Moskow, 1974. (in Russian)
  13. Nikol’skii S.M. Approximation of Functions of Several Variables and Imbedding Theorems. Nauka, Moskow, 1969. (in Russian)
  14. Samko S.G., Kilbas A.A., Marichev O.I. Integrals and Derivatives of Fractional Order and Some of Their Applications. Nauka i Tekhnika, Minsk, 1987. (in Russian)