Characterization of Compactly Supported Renable Splines with Integer Matrix

Tian-Xiao He, Yujing Guana

Research output: Journal ArticleArticlepeer-review


Let M be an integer matrix with absolute values of all its eigenvalues being greater than 1. We give a characterization of compactly supported M-refinable splines f and the conditions that the shifts of f form a Riesz basis.

Original languageAmerican English
JournalApplicable Analysis
StatePublished - 2009


  • Spline
  • refinement
  • blockwise polynomial
  • Riesz basis
  • simplex decomposition
  • 42C40
  • 39A70
  • 41A15
  • 41A30
  • 65D07
  • 65D18
  • 65T60


  • Applied Mathematics
  • Mathematics

Cite this