Distributional Mexican hat wavelet transform

被引：0
|
作者：
Abhishek Singh
机构：
[1] Banasthali Vidhyapith,Department of Mathematics and Statistics
来源：
The Journal of Analysis | 2020年 / 28卷
关键词：
Distribution space; Wavelet transform; Mexican hat wavelet; Weierstrass transform; Asymptotic behaviour; Primary 44A15; 42C15; Secondary 46F12;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Theory of Weierstrass transform is ventured to derive properties of the Mexican hat wavelet transform by Pathak and Singh (Integral Transforms and Special Function 27(6): 468–483, 2016). In this paper, distributional Mexican hat wavelet transform is studied and asymptotic behaviour for the same is discussed. Further, an inversion formula is established by interpreting convergence in the weak distributional sense.
引用
收藏
页码：533 / 544
页数：11
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