Advertisement

Abstract

The well-established theory of multivariate polynomial ideals (over ℂ) was found in recent years to be important for the investigation of several problems in multivariate approximation. We illustrate this point.

Keywords

Primary Ideal Polynomial Ideal Primary Decomposition Spectral Synthesis Integer Translate 
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. [BR]
    A. Ben-Artzi and A. Ron, Translates of exponential box splines and their related spaces, Trans. Amer. Math. Soc. 309(1988), 683–710.CrossRefGoogle Scholar
  2. [DM]
    W. Dahmen and C. A. Micchelli, Multivariate E-splines, Advances in Math., to appear.Google Scholar
  3. [K]
    W. Krull, Idealtheorie, Ergebnisse der Math. iv, no.3, (1935), pp.vii+152.Google Scholar
  4. [L]
    M. Lefranc, Analyse Spectrale sur Z, C. R. Acad. Sc. 246(1958), 1951–1953.Google Scholar
  5. [N]
    D. G. Northcott, Ideal Theory, Cambridge University Press, 1960.Google Scholar

Copyright information

© Birkhäuser Verlag Basel 1989

Authors and Affiliations

  • Carl de Boor
    • 1
  • Amos Ron
    • 1
  1. 1.Center for the Mathematical SciencesUniversity of Wisconsin-MadisonMadisonUSA

Personalised recommendations