Box Splines pp 33-60 | Cite as

The linear algebra of box spline spaces

  • Carl de Boor
  • Klaus Höllig
  • Sherman Riemenschneider
Part of the Applied Mathematical Sciences book series (AMS, volume 98)


In this chapter, we consider the cardinal spline space
$$S: = {S_M}: = span{\left( {M\left( { \cdot - j} \right)} \right)_{j{ \in ^s}}}$$
i.e., the space spanned by the shifts, or integer translates, of the box spline \(M: = {M_\Xi }.\)


Linear Algebra Maximal Element Homogeneous Polynomial Linear Independence Polynomial Space 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Carl de Boor
    • 1
  • Klaus Höllig
    • 2
  • Sherman Riemenschneider
    • 3
  1. 1.Center for Mathematical SciencesUniversity of Wisconsin-MadisonMadisonUSA
  2. 2.Math Institut A der UniversitätStuttgart 80Germany
  3. 3.Department of MathematicsUniversity of AlbertaEdmontonCanada

Personalised recommendations