Stability of the shifts of a finite number of functions

Journal of Approximation Theory

Volumn 95, Issue 2, 1998, Pages 194-202

  Jia, Rong Qing ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Discrete convolution; Shift invariant spaces; Stability

Indexed keywords

EID: 11544282031     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1998.3215     Document Type: Article

References (9)

1. W. Dahmen and C. A. Micchelli, On the local linear independence of translates of a box spline, Studia Math. 82 (1985), 246-263.
2. R. DeVore, B. Jawerth, and V. Popov, Compression of wavelet decompostions, Amer. J. Math. 114 (1992), 737-785.
3. R. DeVore and G. Lorentz, "Constructive Approximation," Springer-Verlag, New York, 1991.
4. R.-Q. Jia, Local Linear independence of the translates of a box spline, Constr. Approx. 1 (1985), 175-182.
5. R.-Q. Jia, A Bernstein-type inequality associated with wavelet decomposition, Constr. Approx. 9 (1993), 299-318.
6. R.-Q. Jia, Shift-invariant spaces and linear operator equations, Israel J. Math. 103 (1998), 259-288.
7. R.-Q. Jia and C. A. Micchelli, Using the refinement equations for the construction of pre-wavelets II: Powers of two, in "Curves and Surfaces" (P. J. Laurent, A. Le Méhauté, and L. L. Schumaker, Eds.), pp. 209-246, Academic Press, New York, 1991.
8. R.-Q. Jia and C. A. Micchelli, On linear independence for integer translates of a finite number of functions, Proc. Edinburgh Math. Soc. 36 (1992), 69-85.
9. Y. Meyer, "Wavelets and Operators," Cambridge Univ. Press, Cambridge, UK, 1992.