{"title":"Complex analysis of symmetric operators, I","authors":"Yicao Wang","doi":"arxiv-2408.10968","DOIUrl":null,"url":null,"abstract":"This is an upgraded version of von Neumann's famous theory on self-adjoint\nextensions of symmetric operators. As implied in the title, we have\nincorporated complex analysis (and complex geometry) into this theory in an\nessential way. The roles played by Hermtian symmetric spaces and modern value\ndistribution theory in the theory are clarified. In doing so, many new concepts\nare introduced and many new results are obtained.","PeriodicalId":501373,"journal":{"name":"arXiv - MATH - Spectral Theory","volume":"6 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Spectral Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.10968","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This is an upgraded version of von Neumann's famous theory on self-adjoint
extensions of symmetric operators. As implied in the title, we have
incorporated complex analysis (and complex geometry) into this theory in an
essential way. The roles played by Hermtian symmetric spaces and modern value
distribution theory in the theory are clarified. In doing so, many new concepts
are introduced and many new results are obtained.
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