Distributional Wavelet Transform

被引：0
作者：
R. S. Pathak
Abhishek Singh
机构：
[1] Banaras Hindu University,DST Centre for Interdisciplinary Mathematical Sciences, Faculty of Science
来源：
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences | 2016年 / 86卷
关键词：
Integral transform; Wavelet transform; Distribution space; Generalized functions; 46E15; 46E40; 46F12;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we define the wavelet transform for a class of distributions in Gα,β′(R)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$G_{\alpha , \beta }^{'}(\mathbb {R})$$\end{document}. The corresponding inversion formula is established by interpreting convergence in the weak distributional sense.
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页码：273 / 277
页数：4
相关论文
共 4 条
[1]  
Pathak RS(2004)The wavelet transform of distributions Tohoku Math J 56 411-421
[2]  
Pathak RS(2006)The Wavelet transform on spaces of type S Proc R Soc (Edinb) 136A 837-850
[3]  
Singh SK(2011)Wavelet transforms of Schwartz distributions J Comput Anal Appl 13 47-83
[4]  
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