Skip to main content
SpringerLink
Log in

On Positive Values of Spherical Harmonics and Trigonometric Polynomials

  • Published:
Mathematical Notes Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

REFERENCES

  1. S. L. Sobolev, Introduction to the Theory of Cubature Formulas [in Russian], Nauka, Moscow, 1974.

    Google Scholar 

  2. D. Armitage and S. Gardiner, “Best one-sided L 1-approximation by harmonic and subharmonic functions,” in: Advances in Multivariate Approximation (W. Haussmann, K. Jetter, M. Reimier, editors), Wiley-VCH, Berlin, 1999, pp. 43–56.

    Google Scholar 

  3. N. N. Andreev and V. A. Yudin, “Positive values of harmonic polynomials,” Trudy Mat. Inst. Steklov [Proc. Steklov Inst. Math.], 243 (2003), 46–52.

    Google Scholar 

  4. G. Szegö, Orthogonal Polynomials, Colloquium Publ., vol. XXIII, Amer. Math. Soc., Providence, RI, 1959. Russian translation: Fizmatlit, Moscow, 1962.

    Google Scholar 

  5. R. Cooke, Proc. Amer. Math. Soc., 30 (1971), 547–550.

    Google Scholar 

  6. Sh. A. Alimov, V. A. Ilľin, and E. M. Nikishin, Uspekhi Mat. Nauk [Russian Math. Surveys], 31 (1976), no. 6, 28–83; 32 (1977), no. 1, 107–130.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow Institute of Power Engineering, Russia

    V. A. Yudin

Authors
  1. V. A. Yudin
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yudin, V.A. On Positive Values of Spherical Harmonics and Trigonometric Polynomials. Mathematical Notes 75, 447–450 (2004). https://doi.org/10.1023/B:MATN.0000023328.29401.16

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:MATN.0000023328.29401.16

Search

Navigation