{"title":"伪黎曼局部对称空间的谱分析","authors":"Fanny Kassel, Toshiyuki Kobayashi","doi":"10.3792/pjaa.96.013","DOIUrl":null,"url":null,"abstract":"We summarize recent results initiating spectral analysis on pseudo-Riemannian locally symmetric spaces $\\Gamma \\backslash G/H$, beyond the classical setting where $H$ is compact (e.g. theory of automorphic forms for arithmetic $\\Gamma$) or $\\Gamma$ is trivial (e.g. Plancherel-type formula for semisimple symmetric spaces).","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Spectral analysis on pseudo-Riemannian locally symmetric spaces\",\"authors\":\"Fanny Kassel, Toshiyuki Kobayashi\",\"doi\":\"10.3792/pjaa.96.013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We summarize recent results initiating spectral analysis on pseudo-Riemannian locally symmetric spaces $\\\\Gamma \\\\backslash G/H$, beyond the classical setting where $H$ is compact (e.g. theory of automorphic forms for arithmetic $\\\\Gamma$) or $\\\\Gamma$ is trivial (e.g. Plancherel-type formula for semisimple symmetric spaces).\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2020-01-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.3792/pjaa.96.013\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3792/pjaa.96.013","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Spectral analysis on pseudo-Riemannian locally symmetric spaces
We summarize recent results initiating spectral analysis on pseudo-Riemannian locally symmetric spaces $\Gamma \backslash G/H$, beyond the classical setting where $H$ is compact (e.g. theory of automorphic forms for arithmetic $\Gamma$) or $\Gamma$ is trivial (e.g. Plancherel-type formula for semisimple symmetric spaces).
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