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Stationary subdivision

About this Title

Alfred S. Cavaretta, Wolfgang Dahmen and Charles A. Micchelli

Publication: Memoirs of the American Mathematical Society
Publication Year: 1991; Volume 93, Number 453
ISBNs: 978-0-8218-2507-5 (print); 978-1-4704-0879-4 (online)
DOI: https://doi.org/10.1090/memo/0453
MathSciNet review: 1079033
MSC: Primary 65D10; Secondary 65Y25

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Table of Contents

Chapters

  • 1. Introduction
  • 2. Subdivision schemes: Convergence concepts and the associated functional equation
  • 3. Contractivity of the subdivision operator
  • 4. Subdivision from dimension compression
  • 5. Solution of the functional equation
  • 6. Algebraic properties of subdivision schemes
  • 7. Matrix refinement equation
  • 8. Smoothness of $S$-refinable functions and consequences
  • Appendix