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A Unified Approach to Construct a Class of Daubechies Orthogonal Scaling Functions |
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| Authors: | Tianxiao HE and Tung NGUYEN |
| Institution: | Department of Mathematics, Illinois Wesleyan University, Bloomington, IL 61702-2900, USA and Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53706-1325, USA |
| Abstract: | 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. |
| Keywords: | Daubechies scaling functions MRA scaling function B-spline Lorentz polynomial |
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