Asymptotic Behaviour of Distributional Mexican Hat Wavelet Transform

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2018-12-12 DOI:10.18311/JIMS/2019/20803

A. Mala, Abhishek Singh, D. Saxena

引用次数: 1

Abstract

Theory of Weierstrass transform is ventured to derive properties of the Mexican hat wavelet transform by Pathak et al . [3]. In this paper, distributional Mexican hat wavelet transform is studied and an asymptotic behaviour for the same is established. Further, tauberian result of Mexican hat wavelet transform is derived.

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分布墨西哥帽小波变换的渐近性质

Pathak等人利用Weierstrass变换理论推导了Mexican-hat小波变换的性质。[3] 。本文研究了分布Mexican-hat小波变换，并建立了它的渐近性态。进一步推导了Mexican-hat小波变换的tauberian结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.