{"title":"L2(R2)中矩阵扩张的小帧缩放集","authors":"Arun Kumar","doi":"10.28919/jmcs/7492","DOIUrl":null,"url":null,"abstract":". In this paper, we have constructed the non-overlapping frame scaling set with 2 × 2 expansive matrix dilation for the time frequency analysis in R 2 . The FMRA (Frame Multiresolution Analysis) always contains a frame scaling set. We have investigated that frequency domain of any frame scaling function contains a non-overlapping scaling set.","PeriodicalId":36607,"journal":{"name":"Journal of Mathematical and Computational Science","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Framelet scaling set with matrix dilation in L2(R2)\",\"authors\":\"Arun Kumar\",\"doi\":\"10.28919/jmcs/7492\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, we have constructed the non-overlapping frame scaling set with 2 × 2 expansive matrix dilation for the time frequency analysis in R 2 . The FMRA (Frame Multiresolution Analysis) always contains a frame scaling set. We have investigated that frequency domain of any frame scaling function contains a non-overlapping scaling set.\",\"PeriodicalId\":36607,\"journal\":{\"name\":\"Journal of Mathematical and Computational Science\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical and Computational Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.28919/jmcs/7492\",\"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 Mathematical and Computational Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28919/jmcs/7492","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Framelet scaling set with matrix dilation in L2(R2)
. In this paper, we have constructed the non-overlapping frame scaling set with 2 × 2 expansive matrix dilation for the time frequency analysis in R 2 . The FMRA (Frame Multiresolution Analysis) always contains a frame scaling set. We have investigated that frequency domain of any frame scaling function contains a non-overlapping scaling set.