{"title":"On the completeness of root function system of the Dirac operator with two-point boundary conditions","authors":"Alexander Makin","doi":"10.1002/mana.202300241","DOIUrl":null,"url":null,"abstract":"<p>The paper is concerned with the completeness property of root functions of the Dirac operator with summable complex-valued potential and nonregular boundary conditions. We also obtain an explicit form for the fundamental solution system of the considered operator.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"297 7","pages":"2468-2487"},"PeriodicalIF":0.8000,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematische Nachrichten","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/mana.202300241","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The paper is concerned with the completeness property of root functions of the Dirac operator with summable complex-valued potential and nonregular boundary conditions. We also obtain an explicit form for the fundamental solution system of the considered operator.
期刊介绍:
Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index