{"title":"分布墨西哥帽小波变换的渐近性质","authors":"A. Mala, Abhishek Singh, D. Saxena","doi":"10.18311/JIMS/2019/20803","DOIUrl":null,"url":null,"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.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"86 1","pages":"58-66"},"PeriodicalIF":0.0000,"publicationDate":"2018-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Asymptotic Behaviour of Distributional Mexican Hat Wavelet Transform\",\"authors\":\"A. Mala, Abhishek Singh, D. Saxena\",\"doi\":\"10.18311/JIMS/2019/20803\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":38246,\"journal\":{\"name\":\"Journal of the Indian Mathematical Society\",\"volume\":\"86 1\",\"pages\":\"58-66\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-12-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Indian Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18311/JIMS/2019/20803\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Indian Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18311/JIMS/2019/20803","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Asymptotic Behaviour of Distributional Mexican Hat Wavelet Transform
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.
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.