无界非降函数的一类墨西哥帽小波Stieltjes变换

IF 1.3 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES

National Academy Science Letters Pub Date : 2024-10-04 DOI:10.1007/s40009-024-01455-8

Aparna Rawat, Abhishek Singh

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引用次数: 0

摘要

在本文中，我们研究了墨西哥帽小波Stieltjes变换（MHWST）对于属于有界变分函数子类之一的特定函数集的特征。子集包含无界且非递减的函数。在此基础上，应用统一的方法建立了MHWST的唯一性定理，并推导了MHWST的表示定理。

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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A Family of Mexican Hat Wavelet Stieltjes Transform for Unbounded Non-decreasing Functions

In the present article, we examine the characteristics of the Mexican hat wavelet Stieltjes transform (MHWST) for a specific set of functions belonging to one of the sub-class of bounded variation functions. The subset comprises functions that are unbounded and non-decreasing. Further, a unified approach is applied to establish a uniqueness theorem and subsequently derive a representation theorem for the MHWST.

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来源期刊

National Academy Science Letters 综合性期刊-综合性期刊

CiteScore

2.20

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： The National Academy Science Letters is published by the National Academy of Sciences, India, since 1978. The publication of this unique journal was started with a view to give quick and wide publicity to the innovations in all fields of science