ArticleOriginal scientific textA remark on multiresolution analysis of
Title
A remark on multiresolution analysis of
Authors 1
Affiliations
- Center for Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang 310027, P.R. China
Abstract
A condition on a scaling function which generates a multiresolution analysis of is given.
Bibliography
- R.-Q. Jia and C. A. Micchelli, Using the refinement equations for the construction of prewavelet II: power of two, in: Curves and Surfaces, P. J. Laurent, A. Le Mehaute and L. L. Schumaker (eds.), Academic Press, 1990, 1-36.
- W. R. Madych, Some elementary properties of multiresolution analysis of
, in: Wavelets-A Tutorial in Theory and Applications, C. K. Chui (ed.), Academic Press, 1992, 259-294. - S. Mallat, Multiresolution approximation and wavelet orthonormal bases of
, Trans. Amer. Math. Soc. 315 (1989), 69-88. - Y. Meyer, Ondelettes, fonctions spline et analyses graduées, Rapport CEREMADE 8703, 1987.
- E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, Princeton, N.J., 1970.
- Q. Sun, Sequences spaces and stability of integer translates, Z. Anal. Anwendungen 12 (1993), 567-584.