{"_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"}, "item_4_biblio_info_7": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "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": "\u30d5\u30a9\u30fc\u30de\u30c3\u30c8", "attribute_value_mlt": [{"subitem_description": "application/pdf", "subitem_description_type": "Other"}]}, "item_4_description_5": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "Let $G=\\sU(n,1)$ and $H=\\sU(n-1,1) \u00d7 \\sU(1)$ 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 $\u03c0$ and $\u03b7$ of $G$ and $H$ respectively, we consider the space ${\\cal I}_{\u03b7,\u03c0}={\\rm Hom}_{\\g_\\C,K} (\u03c0,{\\rm Ind}_H^G(\u03b7))$ with $K$ a maximal compact subgroup in $G$ and $\\g_\\C$ the complexified Lie algebra of $G$. The functions that belong to ${\\rm Im}(\u03a6)$ for some $\u03a6\\in {\\cal I}_{\u03b7,\u03c0}$ will be called the {\\it Shintani functions}. We prove that ${\\rm dim}_\\C{\\cal I}_{\u03b7,\u03c0}\\leqslant 1$ for any $\u03c0 $ and any $\u03b7$, giving an explicit formula of the Shintani functions that generate a \\lq corner\\rq\\ $K$-type of $\u03c0$ in terms of Gaussian hypergeometric series. We also give an explicit formula of corner $K$-type matrix coefficients of $\u03c0$ in the usual sense.", "subitem_description_type": "Abstract"}]}, "item_4_publisher_20": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "Graduate School of Mathematical Sciences, The University of Tokyo"}]}, "item_4_source_id_10": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "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": "\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5", "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": "\u539f\u7a3f\u53d7\u9818\u65e5", "attribute_value_mlt": [{"subitem_text_value": "2000-11-06"}]}, "item_4_text_34": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Tsuzuki, Masao"}], "nameIdentifiers": [{"nameIdentifier": "138785", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2017-06-27"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "jms080403.pdf", "filesize": [{"value": "534.6 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 534600.0, "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": "\u30ad\u30fc\u30ef\u30fc\u30c9", "attribute_value_mlt": [{"subitem_subject": "shintani functions", "subitem_subject_scheme": "Other"}]}, "item_language": {"attribute_name": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "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": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Real Shintani Functions on $U(n,1)$"}]}, "item_type_id": "4", "owner": "1", "path": ["312/6865/7007/7008", "9/504/6868/7009/7010"], "permalink_uri": "http://hdl.handle.net/2261/1171", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2008-03-04"}, "publish_date": "2008-03-04", "publish_status": "0", "recid": "40196", "relation": {}, "relation_version_is_last": true, "title": ["Real Shintani Functions on $U(n,1)$"], "weko_shared_id": null}