Skip to main content
Log in

Approximation theorems for the Moisil-Theodorescu system

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. G. C. Moisil and N. Theodorescu, “Fonctions holomorphes dans l'espace,” Mathematica,5, 141 (1931).

    Google Scholar 

  2. A. V. Bitsadze, “The space analog of a Cauchy type integral and some of its applications,” Dokl. Akad. Nauk SSSR,93, No. 3 389–392 (1953).

    Google Scholar 

  3. A. V. Bitsadze, “The space analog of a Cauchy type integral and some of its applications,” Izv. Akad. Nauk SSSR,17, No. 6, 525–538 (1953).

    Google Scholar 

  4. A. V. Bitsdaze, Fundamentals of the Theory of Analytic Functions of a Complex Variable [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  5. A. V. Bitsadze, Boundary-Value Problems for Elliptic Equations of Second Order [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  6. A. D. Dzhuraev, “On the Hilbert formulas for the Moisil-Theodorescu system,” Dokl. Akad. Nauk Tadzh. SSR,20, No. 10, 3–5 (1977).

    Google Scholar 

  7. V. V. Naumov and Yu. M. Grigor'ev “The Laurent series for the Moisil-Theodorescu system,” in: Dynamics of Continuous Medium [in Russian], No. 54, Inst. Gidrodin. Sib. Otd. Akad. Nauk SSSR, Novosibirsk (1982), pp. 115–126.

    Google Scholar 

  8. B. V. Shabat, Introduction to Complex Analysis [in Russian], Part 1, Nauka, Moscow (1976).

    Google Scholar 

  9. M. V. Keldysh and M. A. Lavrent'ev, “Sur les suites convergentes de polynomes harmoniques,” Tr. Mat. Inst. Gruz. Filaliala Akad. Nauk SSSR,1, 165–184 (1937).

    Google Scholar 

  10. S. N. Mergelyan, “Uniform approximations of functions of a complex variable,” Usp. Mat. Nauk,7, No. 2, 31–122 (1952).

    Google Scholar 

  11. S. N. Mergelyan, “On a theorem of M. A. Lavrent'ev,” Dokl. Akad. Nauk SSSR,77, No. 4, 565–568 (1951).

    Google Scholar 

  12. I. N. Vekua, “On the completeness of a system of harmonic polynomials in the space,” Dokl. Akad. Nauk SSSR,90, No. 4, 495–498 (1953).

    Google Scholar 

Download references

Authors

Additional information

Novosibirsk. Yakutsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 5, pp. 9–19, September–October, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grigor'ev, Y.M., Naumov, V.V. Approximation theorems for the Moisil-Theodorescu system. Sib Math J 25, 693–701 (1984). https://doi.org/10.1007/BF00968681

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00968681

Keywords

Navigation