南阳师范学院学报2016，Vol.15Issue(12)：1-4,4.
基于p进Vilenkin群小波方法解微分方程
The wavelet methods for differential equations on the p-adic Vilenkin groups
聂伟平 1师东利 1李万社1
作者信息
- 1. 陕西师范大学 数学与信息科学学院, 陕西 西安 710062
- 折叠
摘要
Abstract
In this paper, Fourier-Walsh transform is defined based on p-adic Vilenkin groups.Furthermore, Haar wavelets, multiresolution analysis and (quasi-Haar) Haar representation of functions as well as the representation of Walsh functions are introduced.Finally, an algorithm for the existence and uniqueness of solutions of a linear differential equations of order n and the one-dimensional homogeneous wave equation are presented.关键词
p进Vilenkin群/小波变换/沃尔什函数Key words
p-adic Vilenkin groups/wavelet transform/Walsh functions分类
数理科学引用本文复制引用
聂伟平,师东利,李万社..基于p进Vilenkin群小波方法解微分方程[J].南阳师范学院学报,2016,15(12):1-4,4.
