{"title":"与Walsh函数相关的向量值非均匀多分辨率分析","authors":"Abdullah","doi":"10.19139/soic-2310-5070-681","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce vector-valued nonuniform multiresolution analysis on positive half-line related to Walsh functions. We obtain the necessary and sufficient condition for the existence of associated wavelets.","PeriodicalId":93376,"journal":{"name":"Statistics, optimization & information computing","volume":"8 1","pages":"206-219"},"PeriodicalIF":0.0000,"publicationDate":"2020-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Vector-valued nonuniform multiresolution analysis related to Walsh function\",\"authors\":\"Abdullah\",\"doi\":\"10.19139/soic-2310-5070-681\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce vector-valued nonuniform multiresolution analysis on positive half-line related to Walsh functions. We obtain the necessary and sufficient condition for the existence of associated wavelets.\",\"PeriodicalId\":93376,\"journal\":{\"name\":\"Statistics, optimization & information computing\",\"volume\":\"8 1\",\"pages\":\"206-219\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-02-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Statistics, optimization & information computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.19139/soic-2310-5070-681\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistics, optimization & information computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.19139/soic-2310-5070-681","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Vector-valued nonuniform multiresolution analysis related to Walsh function
In this paper, we introduce vector-valued nonuniform multiresolution analysis on positive half-line related to Walsh functions. We obtain the necessary and sufficient condition for the existence of associated wavelets.