Skip to main content
Log in

On limits of multivariateB-splines

  • Published:
Journal d’Analyse Mathématique Aims and scope

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

Access this article

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

Instant access to the full article PDF.

References

  1. H. B. Curry and I. J. Schoenberg,On Pólya frequency functions IV: The fundamental spline functions and their limits, J. Analyse Math.17 (1966), 71–107.

    MATH  MathSciNet  Google Scholar 

  2. W. Dahmen,On multivariate B-splines, SIAM J. Numer. Anal.17 (1980), 179–190.

    Article  MATH  MathSciNet  Google Scholar 

  3. W. Dahmen and C. A. Micchelli,On Functions of Affine Lineage, IBM Research Report No. 8324, 1980.

  4. I. I. Hirschman and D. V. Widder,The Convolution Transform, Princeton University Press, Princeton, 1955.

    Google Scholar 

  5. S. Karlin,Total Positivity, Stanford University Press, Stanford, California, 1968.

    MATH  Google Scholar 

  6. C. A. Micchelli,On a numerically efficient method for computing multivariate B-splines, inMultivariate Approximation Theory, Walter Schempp and Karl Zeller (eds.), ISNM51, Birkhäuser Verlag, Basel, 1979.

    Google Scholar 

  7. T. S. Motzkin and I. J. Schoenberg,On lineal entire functions of n complex variables, Proc. Amer. Math. Soc.3 (1952), 517–526.

    Article  MATH  MathSciNet  Google Scholar 

  8. I. J. Schoenberg,On Pólya frequency functions II: Variation-diminishing integral operators of the convolution type, Acta Sci. Math. (Szeged) (1950), 97–106.

  9. I. J. Schoenberg,On Pólya frequency functions I: The totally positive functions and their Laplace transform, J. Analyse Math.1 (1951), 331–374.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Dedicated to I. J. Schoenberg with esteem and admiration

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dahmen, W., Micchelli, C.A. On limits of multivariateB-splines. J. Anal. Math. 39, 256–278 (1981). https://doi.org/10.1007/BF02803338

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02803338

Keywords

Navigation