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Point Values and Normalization of Two-Direction Multi-wavelets and their Derivatives
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  • Journal title : Kyungpook mathematical journal
  • Volume 55, Issue 4,  2015, pp.1053-1067
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2015.55.4.1053
 Title & Authors
Point Values and Normalization of Two-Direction Multi-wavelets and their Derivatives
KEINERT, FRITZ; KWON, SOON-GEOL;
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 Abstract
A two-direction multiscaling function satisfies a recursion relation that uses scaled and translated versions of both itself and its reverse. This offers a more general and flexible setting than standard one-direction wavelet theory. In this paper, we investigate how to find and normalize point values and derivative values of two-direction multiscaling and multiwavelet functions. Determination of point values is based on the eigenvalue approach. Normalization is based on normalizing conditions for the continuous moments of . Examples for illustrating the general theory are given.
 Keywords
two-direction multiwavelets;point values;normalization;multi-wavelet derivatives;
 Language
English
 Cited by
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