{"title":"$$\\boldsymbol{H}^{\\mathbf{1}}\\boldsymbol{(\\mathbb{T})}$$ 中周期正交样条系统的无条件性：充分性","authors":"L. Hakobyan, K. Keryan","doi":"10.3103/s1068362324700158","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>We give a geometric characterization of knot sequences <span>\\((s_{n})\\)</span>, which is a sufficient condition for the corresponding periodic orthonormal spline system of arbitrary order <span>\\(k\\)</span>, <span>\\(k\\in\\mathbb{N}\\)</span>, is an unconditional basis in the atomic Hardy space on the torus <span>\\(H^{1}(\\mathbb{T})\\)</span>.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Unconditionality of Periodic Orthonormal Spline Systems in $$\\\\boldsymbol{H}^{\\\\mathbf{1}}\\\\boldsymbol{(\\\\mathbb{T})}$$ : Sufficiency\",\"authors\":\"L. Hakobyan, K. Keryan\",\"doi\":\"10.3103/s1068362324700158\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p>We give a geometric characterization of knot sequences <span>\\\\((s_{n})\\\\)</span>, which is a sufficient condition for the corresponding periodic orthonormal spline system of arbitrary order <span>\\\\(k\\\\)</span>, <span>\\\\(k\\\\in\\\\mathbb{N}\\\\)</span>, is an unconditional basis in the atomic Hardy space on the torus <span>\\\\(H^{1}(\\\\mathbb{T})\\\\)</span>.</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-07-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.3103/s1068362324700158\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3103/s1068362324700158","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Unconditionality of Periodic Orthonormal Spline Systems in $$\boldsymbol{H}^{\mathbf{1}}\boldsymbol{(\mathbb{T})}$$ : Sufficiency
Abstract
We give a geometric characterization of knot sequences \((s_{n})\), which is a sufficient condition for the corresponding periodic orthonormal spline system of arbitrary order \(k\), \(k\in\mathbb{N}\), is an unconditional basis in the atomic Hardy space on the torus \(H^{1}(\mathbb{T})\).
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
