Skip to main content
Log in

Orbits of A Group Action as Optimal Designs

  • Published:
Mediterranean Journal of Mathematics Aims and scope Submit manuscript

Abstract

To determine an unknown function belonging to a known n-dimensional space, it suffices to evaluate the function at n generic points. We apply the character theory of finite groups towards finding optimal designs of such points.

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.

Similar content being viewed by others

References

  1. Martin Isaacs, I.: Character Theory of Finite Groups. AMS Chelsea Publishing, Providence, RI (2006) (Corrected reprint of the 1976 original) (Academic Press, New York)

  2. Lee D.: On a minimal property of cardinal and periodic Lagrange splines. J. Approx. Theory 70, 335–338 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  3. de Boor C.: On the cardinal spline interpolant to e iut. SIAM J. Math. Anal. 7, 930–941 (1976)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Michael M. Schein.

Additional information

This work was supported by German–Israeli Foundation for Scientific Research and Development grant 2264/2010 and by a grant from the Pollack Family Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schein, M.M. Orbits of A Group Action as Optimal Designs. Mediterr. J. Math. 11, 89–96 (2014). https://doi.org/10.1007/s00009-013-0343-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00009-013-0343-4

Mathematics Subject Classification (2010)

Keywords

Navigation