Approximation in G-homogeneous Banach spaces

  • Walter Schempp
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 571)

Keywords

Banach Space Approximation Process Trigonometric Polynomial Vector Subspace Complex Banach Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Cheney, E.W.: Introduction to approximation theory. New York: McGraw-Hill Book Company 1966MATHGoogle Scholar
  2. 2.
    Daugavet, I.K.: Some applications of the Marcinkiewicz — Berman identity. Vestnik Leningrad Univ., Math. 1, 321–327 (1974)MathSciNetGoogle Scholar
  3. 3.
    Dreseler, B.: Zu Entwicklungen nach sphärischen Funktionen gehörende Approximationsverfahren auf kompakten symmetrischen Mannigfaltigkeiten (to appear)Google Scholar
  4. 4.
    Dreseler, B., Schempp, W.: On the Charshiladze-Lozinski theorem for compact topological groups and homogeneous spaces. Manuscripta Math. 13, 321–337 (1974)MathSciNetCrossRefGoogle Scholar
  5. 5.
    Dreseler, B., Schempp, W.: On the convergence and divergence behaviour of approximation processes in homogeneous Banach spaces. Math. Z. 143, 81–89 (1975)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Dreseler, B., Schempp, W.: Fine groupings and the divergence of approximation processes on compact topological groups. Math. Z. 145, 93–97 (1975)MathSciNetMATHCrossRefGoogle Scholar
  7. 7.
    Kadets, M.I., Mityagin, B.S.: Complemented subspaces in Banach spaces. Russian Math. Surveys 28, 77–95 (1973)CrossRefGoogle Scholar
  8. 8.
    Rudin, W.: Projections on invariant subspaces. Proc. Amer. math. Soc. 13, 429–432 (1962)MathSciNetMATHCrossRefGoogle Scholar
  9. 9.
    Schempp, W.: Approximation on compact Riemannian globally symmetric manifolds of rank one. J. Approximation Theory (to appear)Google Scholar
  10. 10.
    Vilenkin, N.J.: Special functions and the theory of group representations. Providence, R.I.: Amer. math. Soc. 1968MATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin · Heidelberg 1977

Authors and Affiliations

  • Walter Schempp
    • 1
  1. 1.Lehrstuhl fuer Mathematik IUniversity of SiegenSiegen 21Federal Republic of Germany

Personalised recommendations