ArticleOriginal scientific text

Title

A remark on multiresolution analysis of Lp(d)

Authors 1

Affiliations

  1. 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 Lp(d) is given.

Bibliography

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  2. W. R. Madych, Some elementary properties of multiresolution analysis of L2(Rn), in: Wavelets-A Tutorial in Theory and Applications, C. K. Chui (ed.), Academic Press, 1992, 259-294.
  3. S. Mallat, Multiresolution approximation and wavelet orthonormal bases of L2(Rn), Trans. Amer. Math. Soc. 315 (1989), 69-88.
  4. Y. Meyer, Ondelettes, fonctions spline et analyses graduées, Rapport CEREMADE 8703, 1987.
  5. E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, Princeton, N.J., 1970.
  6. Q. Sun, Sequences spaces and stability of integer translates, Z. Anal. Anwendungen 12 (1993), 567-584.
Pages:
257-264
Main language of publication
English
Received
1992-10-20
Accepted
1993-01-27
Published
1993
Exact and natural sciences