{"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":54854,"journal":{"name":"Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences","volume":"54 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3103/s1068362324700158","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
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 \(H^{1}(\mathbb{T})\).
期刊介绍：
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) is an outlet for research stemming from the widely acclaimed Armenian school of theory of functions, this journal today continues the traditions of that school in the area of general analysis. A very prolific group of mathematicians in Yerevan contribute to this leading mathematics journal in the following fields: real and complex analysis; approximations; boundary value problems; integral and stochastic geometry; differential equations; probability; integral equations; algebra.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
