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On orthogonal systems of harmonic and polyharmonic polynomials

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Literature Cited

  1. M. V. Keldysh, “On the solvability and stability of the Dirichlet problem,” Usp. Matem. Nauk,8, 171–292 (1940).

    Google Scholar 

  2. G. Polya and G. Szego, Isoperimetric Inequalities in Mathematical Physics, Princeton University Press, Princeton (1951).

    Google Scholar 

  3. S. L. Sobolev, Applications of Functional Analysis in Mathematical Physics, American Mathematical Society, Providence (1963).

    Google Scholar 

  4. I. N. Vekua, “On the completeness of the system of harmonic polynomials in the space,” Dokl. Akad. Nauk SSSR,90, 495–498 (1953).

    Google Scholar 

  5. É. M. Saak, “On the regular approximation of the solutions of complex elliptic equations of an arbitrary order,” Ukrainsk. Matem. Zh.,18, No. 6, 26–40 (1966).

    Google Scholar 

  6. L. Hörmander, Linear Partial Differential Operators, Academic Press, New York (1963).

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Authors
  1. É. M. Saak
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Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 13, No. 6, pp. 1330–1346, November–December, 1972.

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Saak, É.M. On orthogonal systems of harmonic and polyharmonic polynomials. Sib Math J 13, 930–943 (1972). https://doi.org/10.1007/BF00971869

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  • DOI: https://doi.org/10.1007/BF00971869

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