{"title":"Microlocal Projectors","authors":"Yannick Guedes Bonthonneau","doi":"arxiv-2407.06644","DOIUrl":null,"url":null,"abstract":"The purpose of this article is to study operators whose kernel share some key\nfeatures of Bergman kernels from complex analysis, and are approximate\nprojectors. It turns out that they must be associated with a rich set of\ngeometric data, on the one hand, and that on the other hand, all such operators\ncan be locally conjugated in some sense.","PeriodicalId":501155,"journal":{"name":"arXiv - MATH - Symplectic Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Symplectic Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.06644","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
The purpose of this article is to study operators whose kernel share some key
features of Bergman kernels from complex analysis, and are approximate
projectors. It turns out that they must be associated with a rich set of
geometric data, on the one hand, and that on the other hand, all such operators
can be locally conjugated in some sense.
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