Arkiv för Matematik

  • Ark. Mat.
  • Volume 5, Number 6 (1965), 541-552.

Weighted mean square approximation in plane regions, and generators of an algebra of analytic functions

Lars Inge Hedberg

Full-text: Open access

Article information

Source
Ark. Mat., Volume 5, Number 6 (1965), 541-552.

Dates
First available in Project Euclid: 31 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.afm/1485893484

Digital Object Identifier
doi:10.1007/BF02591530

Mathematical Reviews number (MathSciNet)
MR219729

Zentralblatt MATH identifier
0154.38701

Rights
1965 © Almqvist & Wiksell

Citation

Hedberg, Lars Inge. Weighted mean square approximation in plane regions, and generators of an algebra of analytic functions. Ark. Mat. 5 (1965), no. 6, 541--552. doi:10.1007/BF02591530. https://projecteuclid.org/euclid.afm/1485893484


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References

  • Bers, L., An approximation theorem, New York, Univ., Courant Inst. Math. Sci., Report IMM-NYU317, 1964.
  • Carlesson, L., Mergelyan’s theorem on uniform polynomial approximation, Math. Scand., to appear.
  • Mergeljan, S. N., On the completeness of systems of analytic functions. Amer. Math. Soc. Translations, (2)19, 109–166 (1962). (Usp. Mat. Nauk (N.S.)8 no. 4 (56), 3–63, (1953)).
  • Nevanlinna, R., Eindeutige Analytische Funktionen, 2nd ed., Springer, Berlin, 1953.
  • Newman, D. J., Generators in l1, Trans. Amer. Math. Soc. 113, 393–396 (1964).
  • Newman, D. J., Schwartz, J. T., and Shapiro, H. S., On generators of the Banach algebras l1 and L1 (0, ∞), Trans. Amer. Math. Soc. 107, 466–484 (1963).
  • Shapiro, H. S., Weakly invertible elements in certain function spaces, and generators in l1, Michigan Math. J. 11, 161–165 (1964).
  • Sobolev, S. L., Sur un théoréme de l’analyse fonctionnelle, Dokl. Akad. Nauk SSSR 20, 5–9 (1938).
  • Vekua, I.N., Generalized analytic functions, Pergamon Press, 1962. (Obobščennye analitičeskie funckcii, Fizmatgiz, Moscow, 1959.)