On Alpert multiwavelets
On Alpert multiwavelets
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关于阿尔珀特多小波
DOI：
10.1090/s0002-9939-2015-12493-8
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
F. Marcellán
中科院分区：
文献类型：
--
作者：
J. Geronimo;F. Marcellán
Alpert的多分辨率分析被认为是。以超几何函数的形式给出了精化方程矩阵系数项的显式表达式。这些条目示出解决广义特征值方程以及偏差分方程。文中还考虑了小波方程中的矩阵系数，给出了获得唯一解的条件。
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.