ON ALPERT MULTIWAVELETS

被引：4
|
作者：
Geronimo, Jeffrey S. [1 ]
Marcellan, Francisco
机构：
[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 06期
关键词：
Multiwavelets; hypergeometric functions; generalized eigenvalue problem; MULTIRESOLUTION ANALYSES; ORTHOGONAL POLYNOMIALS; FRACTAL FUNCTIONS; WAVELETS; CONSTRUCTION; BASES;
D O I：
10.1090/S0002-9939-2015-12493-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The multiresolution analysis of Alpert is considered. Explicit formulas for the entries in the matrix coefficients of the refinement equation are given in terms of hypergeometric functions. These entries are shown to solve generalized eigenvalue equations as well as partial difference equations. The matrix coefficients in the wavelet equation are also considered and conditions are given to obtain a unique solution.
引用
收藏
页码：2479 / 2494
页数：16
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