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Selected Works of Tian-Xiao He
Article
Characterization of Compactly Supported Renable Splines with Integer Matrix
Applicable Analysis (2009)
  • Tian-Xiao He, Illinois Wesleyan University
  • Yujing Guana, Jilin University
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Abstract

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.

Keywords
  • Spline,
  • refinement,
  • blockwise polynomial,
  • Riesz basis,
  • simplex decomposition,
  • 42C40,
  • 39A70,
  • 41A15,
  • 41A30,
  • 65D07,
  • 65D18,
  • 65T60
Disciplines
Publication Date
2009
Publisher Statement
Applicable Analysis is published by Taylor & Francis, http://www.tandfonline.com/toc/gapa20/current#.VBrsfxbgW8E.
Citation Information
Tian-Xiao He and Yujing Guana. "Characterization of Compactly Supported Renable Splines with Integer Matrix" Applicable Analysis Vol. 88 Iss. 9 (2009)
Available at: http://works.bepress.com/tian_xiao_he/63/