{"created":"2021-03-01T06:59:47.096242+00:00","id":40196,"links":{},"metadata":{"_buckets":{"deposit":"1e08c3ab-d711-4874-b41a-a2bf7de2f2bf"},"_deposit":{"id":"40196","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40196"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040196","sets":["312:6865:7007:7008","9:504:6868:7009:7010"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2001","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"4","bibliographicPageEnd":"688","bibliographicPageStart":"609","bibliographicVolumeNumber":"8","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_13":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let $G=\\sU(n,1)$ and $H=\\sU(n-1,1) × \\sU(1)$ with $n\\geqslant 2$. We realize $H$ as a closed subgroup of $G$, so that $(G,H)$ forms a semisimple symmetric pair of rank one. For irreducible representations $π$ and $η$ of $G$ and $H$ respectively, we consider the space ${\\cal I}_{η,π}={\\rm Hom}_{\\g_\\C,K} (π,{\\rm Ind}_H^G(η))$ with $K$ a maximal compact subgroup in $G$ and $\\g_\\C$ the complexified Lie algebra of $G$. The functions that belong to ${\\rm Im}(Φ)$ for some $Φ\\in {\\cal I}_{η,π}$ will be called the {\\it Shintani functions}. We prove that ${\\rm dim}_\\C{\\cal I}_{η,π}\\leqslant 1$ for any $π $ and any $η$, giving an explicit formula of the Shintani functions that generate a \\lq corner\\rq\\ $K$-type of $π$ in terms of Gaussian hypergeometric series. We also give an explicit formula of corner $K$-type matrix coefficients of $π$ in the usual sense.","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"415","subitem_subject_scheme":"NDC"}]},"item_4_text_16":{"attribute_name":"Mathematical Reviews Number","attribute_value_mlt":[{"subitem_text_value":"MR1868294"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"11F70(MSC1991)"},{"subitem_text_value":"22E46(MSC1991)"},{"subitem_text_value":"33C05(MSC1991)"},{"subitem_text_value":"11F67(MSC1991)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2000-11-06"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Tsuzuki, Masao"}],"nameIdentifiers":[{"nameIdentifier":"138785","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-27"}],"displaytype":"detail","filename":"jms080403.pdf","filesize":[{"value":"534.6 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms080403.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40196/files/jms080403.pdf"},"version_id":"bb2988dc-0ece-45a5-9b25-5c408eb9efde"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"shintani functions","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Real Shintani Functions on $U(n,1)$","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Real Shintani Functions on $U(n,1)$"}]},"item_type_id":"4","owner":"1","path":["7008","7010"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-03-04"},"publish_date":"2008-03-04","publish_status":"0","recid":"40196","relation_version_is_last":true,"title":["Real Shintani Functions on $U(n,1)$"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:18.592314+00:00"}