Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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UNIMODULAR WAVELETS AND SCALING FUNCTIONS

  • Published : 1998.04.01
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Abstract

We consider unimodular wavelets and scalling functions whose Fourier transforms are supported in a finite disjoint uniof of closed intervals. In particular, we characterize those unimodular wavelets which can be associated with multiresolution analysis. As an application we have a criterion to determine whether a wavelet from a class of unimodular wavelets of Ha et al. can be associated with multiresolution analysis or not.

Keywords

References

  1. An introduction to wavelet C. K. Chui
  2. SIAM-NSF Regional Conference Series v.61 Ten lectures on wavelets I. Daubechies
  3. Michigan Math. J. v.41 Unimodular wavelets for $L^2$ and the Hardy space $H^2$ Y.-H. Ha;H. Kang;J. Lee;J. K. Seo
  4. Proc. Workshop in Pure Math. v.12 On the construction of wavelets Y. -H. Ha;H. Kang;J. Lee;J. K. Seo
  5. Les On-delletes en 1989, Lecture Notes in Math. v.1438 Analyse multi-echelle et ondelettes a support compact P. G. Lemarie(Ed.)
  6. Wavelets: A Tutorial in Theory and Application Some elementary propertis of multiresolution analyses of $L^2(R^n)$ W. R. Madych
  7. Trans. Amer. Math. Soc. v.315 Multiresolution approximations and wavelets orthnormal bases of $L^2(R^n)$ S. Mallat
  8. Hermann Ondelettes et operateurs, I, II, III Y. Meyer
  9. Master's thesis, KAIST Unimodular wavelets and scaling functions J. H. Park