Hilbert空间中k -帧的不变性

2022 19th International Computer Conference on Wavelet Active Media Technology and Information Processing (ICCWAMTIP) Pub Date : 2022-12-16 DOI:10.1109/ICCWAMTIP56608.2022.10016551

Li Xujin, L. Jinsong

{"title":"Hilbert空间中k -帧的不变性","authors":"Li Xujin, L. Jinsong","doi":"10.1109/ICCWAMTIP56608.2022.10016551","DOIUrl":null,"url":null,"abstract":"Frame theory as a further development of wavelet theory, and K-frames are a further expansion of the general concept of frames. This article focuses on the property that K-frames remain invariant under the action of some specific linear operators. Moreover, a perturbation analysis of K-frames with the help of some mathematical tools gives frame-bound estimates for K-frames.","PeriodicalId":159508,"journal":{"name":"2022 19th International Computer Conference on Wavelet Active Media Technology and Information Processing (ICCWAMTIP)","volume":"124 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Invariance of K-Frames in Hilbert Spaces\",\"authors\":\"Li Xujin, L. Jinsong\",\"doi\":\"10.1109/ICCWAMTIP56608.2022.10016551\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Frame theory as a further development of wavelet theory, and K-frames are a further expansion of the general concept of frames. This article focuses on the property that K-frames remain invariant under the action of some specific linear operators. Moreover, a perturbation analysis of K-frames with the help of some mathematical tools gives frame-bound estimates for K-frames.\",\"PeriodicalId\":159508,\"journal\":{\"name\":\"2022 19th International Computer Conference on Wavelet Active Media Technology and Information Processing (ICCWAMTIP)\",\"volume\":\"124 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 19th International Computer Conference on Wavelet Active Media Technology and Information Processing (ICCWAMTIP)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCWAMTIP56608.2022.10016551\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 19th International Computer Conference on Wavelet Active Media Technology and Information Processing (ICCWAMTIP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCWAMTIP56608.2022.10016551","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

框架理论是对小波理论的进一步发展，而k -框架则是对框架一般概念的进一步扩展。本文研究了k -框架在某些特定的线性算子作用下保持不变的性质。此外，利用一些数学工具对k -帧进行了摄动分析，给出了k -帧的帧界估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Invariance of K-Frames in Hilbert Spaces

Frame theory as a further development of wavelet theory, and K-frames are a further expansion of the general concept of frames. This article focuses on the property that K-frames remain invariant under the action of some specific linear operators. Moreover, a perturbation analysis of K-frames with the help of some mathematical tools gives frame-bound estimates for K-frames.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

2022 19th International Computer Conference on Wavelet Active Media Technology and Information Processing (ICCWAMTIP)

自引率

0.00%

发文量