{"title":"在平面上用幂律权的Radon v变换的反演","authors":"Ziaudin Medzhidov","doi":"10.31029/demr.17.3","DOIUrl":null,"url":null,"abstract":"A formula for inverting an integral transformation on one family of polylines on the plane is obtained. It generalizes the known formulas to the case of a weighted power function.","PeriodicalId":431345,"journal":{"name":"Daghestan Electronic Mathematical Reports","volume":"81 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Inversion of the Radon V-transform with a power-law weight on the plane\",\"authors\":\"Ziaudin Medzhidov\",\"doi\":\"10.31029/demr.17.3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A formula for inverting an integral transformation on one family of polylines on the plane is obtained. It generalizes the known formulas to the case of a weighted power function.\",\"PeriodicalId\":431345,\"journal\":{\"name\":\"Daghestan Electronic Mathematical Reports\",\"volume\":\"81 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Daghestan Electronic Mathematical Reports\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31029/demr.17.3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Daghestan Electronic Mathematical Reports","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31029/demr.17.3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Inversion of the Radon V-transform with a power-law weight on the plane
A formula for inverting an integral transformation on one family of polylines on the plane is obtained. It generalizes the known formulas to the case of a weighted power function.
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