{"title":"用于还原 $$H^s(K)$$ 子空间的非均质小波双帧及其特征描述","authors":"M. Younus Bhat","doi":"10.1007/s13226-024-00611-6","DOIUrl":null,"url":null,"abstract":"<p>Bhat in <i>Annal. Univ. Craiova, Math. Comp. Scien. Series </i> 49: 2(2022), 401-410 has studied nonhomogeneous wavelet bi-frames in Sobolev spaces on local fields of positive characteristic. In this paper, we used the same platform to characterize nonhomogeneous wavelet bi-frames for the reducing subspaces of Sobolev spaces over local fields of positive characteristics.</p>","PeriodicalId":501427,"journal":{"name":"Indian Journal of Pure and Applied Mathematics","volume":"141 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonhomogeneous Wavelet Bi-frames for Reducing Subspaces of $$H^s(K)$$ and their Characterization\",\"authors\":\"M. Younus Bhat\",\"doi\":\"10.1007/s13226-024-00611-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Bhat in <i>Annal. Univ. Craiova, Math. Comp. Scien. Series </i> 49: 2(2022), 401-410 has studied nonhomogeneous wavelet bi-frames in Sobolev spaces on local fields of positive characteristic. In this paper, we used the same platform to characterize nonhomogeneous wavelet bi-frames for the reducing subspaces of Sobolev spaces over local fields of positive characteristics.</p>\",\"PeriodicalId\":501427,\"journal\":{\"name\":\"Indian Journal of Pure and Applied Mathematics\",\"volume\":\"141 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Indian Journal of Pure and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s13226-024-00611-6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indian Journal of Pure and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s13226-024-00611-6","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
Bhat in Annal.Univ. Craiova, Math.Comp.Scien.Series 49: 2(2022), 401-410 中研究了正特征局部域上索波列夫空间中的非均质小波双帧。在本文中,我们使用相同的平台来表征正特征局部域上索波列夫空间的还原子空间的非均质小波双框架。
Nonhomogeneous Wavelet Bi-frames for Reducing Subspaces of $$H^s(K)$$ and their Characterization
Bhat in Annal. Univ. Craiova, Math. Comp. Scien. Series 49: 2(2022), 401-410 has studied nonhomogeneous wavelet bi-frames in Sobolev spaces on local fields of positive characteristic. In this paper, we used the same platform to characterize nonhomogeneous wavelet bi-frames for the reducing subspaces of Sobolev spaces over local fields of positive characteristics.