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.
supported by the National Science Foundation under Grant No. DMS-8701275 and by the United States Army under Contract No. DAAL03-87-K-0030
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. Ben-Artzi and A. Ron, Translates of exponential box splines and their related spaces, Trans. Amer. Math. Soc. 309(1988), 683–710.
W. Dahmen and C. A. Micchelli, Multivariate E-splines, Advances in Math., to appear.
W. Krull, Idealtheorie, Ergebnisse der Math. iv, no.3, (1935), pp.vii+152.
M. Lefranc, Analyse Spectrale sur Z, C. R. Acad. Sc. 246(1958), 1951–1953.
D. G. Northcott, Ideal Theory, Cambridge University Press, 1960.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1989 Birkhäuser Verlag Basel
About this chapter
Cite this chapter
de Boor, C., Ron, A. (1989). Polynomial Ideals and Multivariate Splines. In: Multivariate Approximation Theory IV. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 90. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7298-0_5
Download citation
DOI: https://doi.org/10.1007/978-3-0348-7298-0_5
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7300-0
Online ISBN: 978-3-0348-7298-0
eBook Packages: Springer Book Archive