{"title":"可扩展融合框架","authors":"Asghar Rahimi, Samrand Moayyadzadeh","doi":"10.1007/s40995-024-01765-y","DOIUrl":null,"url":null,"abstract":"<div><p>In this manuscript, while referring to the concepts of fusion frames and scalable frames, we introduce scalable fusion frames and we present an equivalence condition that shows that the scalability of a fusion frame is equivalent to an operator condition between the diagonal operator and the fusion frame related operators, like analysis, synthesis and frame operator.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"49 3","pages":"825 - 831"},"PeriodicalIF":1.4000,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Scalable Fusion Frames\",\"authors\":\"Asghar Rahimi, Samrand Moayyadzadeh\",\"doi\":\"10.1007/s40995-024-01765-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this manuscript, while referring to the concepts of fusion frames and scalable frames, we introduce scalable fusion frames and we present an equivalence condition that shows that the scalability of a fusion frame is equivalent to an operator condition between the diagonal operator and the fusion frame related operators, like analysis, synthesis and frame operator.</p></div>\",\"PeriodicalId\":600,\"journal\":{\"name\":\"Iranian Journal of Science and Technology, Transactions A: Science\",\"volume\":\"49 3\",\"pages\":\"825 - 831\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2025-02-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Iranian Journal of Science and Technology, Transactions A: Science\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40995-024-01765-y\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian Journal of Science and Technology, Transactions A: Science","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s40995-024-01765-y","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
In this manuscript, while referring to the concepts of fusion frames and scalable frames, we introduce scalable fusion frames and we present an equivalence condition that shows that the scalability of a fusion frame is equivalent to an operator condition between the diagonal operator and the fusion frame related operators, like analysis, synthesis and frame operator.
期刊介绍:
The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences