Tianxiao HE,Tung NGUYEN.A Unified Approach to Construct a Class of Daubechies Orthogonal Scaling Functions[J].数学研究及应用,2017,37(1):29~39
A Unified Approach to Construct a Class of Daubechies Orthogonal Scaling Functions
A Unified Approach to Construct a Class of Daubechies Orthogonal Scaling Functions
投稿时间:2016-11-16  最后修改时间:2016-12-19
DOI:10.3770/j.issn:2095-2651.2017.01.003
中文关键词:  Daubechies scaling functions  MRA scaling function  B-spline  Lorentz polynomial
英文关键词:Daubechies scaling functions  MRA scaling function  B-spline  Lorentz polynomial
基金项目:
作者单位
Tianxiao HE Department of Mathematics, Illinois Wesleyan University, Bloomington, IL 61702-2900, USA 
Tung NGUYEN Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53706-1325, USA 
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中文摘要:
      We use Lorentz polynomials to give an efficient way to prove Daubechies’ results on the existence of spline type orthogonal scaling functions and to evaluate a class of Daubechies scaling functions in a unified approach.
英文摘要:
      We use Lorentz polynomials to give an efficient way to prove Daubechies’ results on the existence of spline type orthogonal scaling functions and to evaluate a class of Daubechies scaling functions in a unified approach.
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