{"title":"Resonances of the d'Alembertian on the anti-de Sitter space \n \n \n \n SO\n e\n \n (\n 2\n ,\n 2\n )\n /\n \n SO\n e\n \n (\n 2\n ,\n 1\n )\n \n $\\mathop {\\rm {SO_e}}(2,2)/\\mathop {\\rm {SO_e}}(2,1)$","authors":"Simon Roby","doi":"10.1002/mana.202300212","DOIUrl":null,"url":null,"abstract":"<p>We consider the action of the d'Alembertian on functions on the pseudo-Riemannian three-dimensional anti-de Sitter space. We determine the resonances of this operator. With each resonance one can associate a <i>residue representation</i>. We give an explicit description of these representations via Langlands parameters.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/mana.202300212","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
We consider the action of the d'Alembertian on functions on the pseudo-Riemannian three-dimensional anti-de Sitter space. We determine the resonances of this operator. With each resonance one can associate a residue representation. We give an explicit description of these representations via Langlands parameters.
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