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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

Novel Method for Constructing New Wavelet Analysis

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2005, v.12 no.4, pp.237-251
LIN YINGZHEN
CUI MINCGEN

Abstract

In this paper, a new wavelet analysis of differential operator spline is generated, and it is of the symmetry and (3 -<TEX>$\epsilon$</TEX> )-order regula.ity (0 < <TEX>$\epsilon$</TEX> < 3). Finally, using this wavelet basis, we expand Lebesgue square integrable functions efficiently and quickly.

keywords
differential operator spline, wavelet, multiresolution analysis

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics