{"created":"2021-03-01T06:20:40.719897+00:00","id":4025,"links":{},"metadata":{"_buckets":{"deposit":"986caa05-a959-4231-aae2-21e46b5e5418"},"_deposit":{"id":"4025","owners":[],"pid":{"revision_id":0,"type":"depid","value":"4025"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00004025","sets":["312:391","9:233:280"]},"item_7_alternative_title_1":{"attribute_name":"その他のタイトル","attribute_value_mlt":[{"subitem_alternative_title":"GL(4, R)の退化主系列表現の一般Whittaker関数"}]},"item_7_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2009-03-23","bibliographicIssueDateType":"Issued"},"bibliographic_titles":[{}]}]},"item_7_date_granted_25":{"attribute_name":"学位授与年月日","attribute_value_mlt":[{"subitem_dategranted":"2009-03-23"}]},"item_7_degree_grantor_23":{"attribute_name":"学位授与機関","attribute_value_mlt":[{"subitem_degreegrantor":[{"subitem_degreegrantor_name":"University of Tokyo (東京大学)"}]}]},"item_7_degree_name_20":{"attribute_name":"学位名","attribute_value_mlt":[{"subitem_degreename":"博士(数理科学)"}]},"item_7_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We give a characterization of a generalized Whittaker model of a degenerate principal series representation of GL(n, R) as the kernel of some differential operators. By this characterization, we investigate some examples on GL(4, R). We obtain the dimensions of the generalized Whittaker models and give their basis in terms of hypergeometric functions of one and two variables. We show the multiplicity one of the generalized Whittaker models by using the theory of hypergeometric functions.","subitem_description_type":"Abstract"}]},"item_7_dissertation_number_26":{"attribute_name":"学位授与番号","attribute_value_mlt":[{"subitem_dissertationnumber":"甲第24985号"}]},"item_7_full_name_3":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"9295","nameIdentifierScheme":"WEKO"}],"names":[{"name":"Hiroe, Kazuki"}]}]},"item_7_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.15083/00004016","subitem_identifier_reg_type":"JaLC"}]},"item_7_select_21":{"attribute_name":"学位","attribute_value_mlt":[{"subitem_select_item":"doctoral"}]},"item_7_subject_13":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_7_text_22":{"attribute_name":"学位分野","attribute_value_mlt":[{"subitem_text_value":"Mathematical Sciences (数理科学)"}]},"item_7_text_24":{"attribute_name":"研究科・専攻","attribute_value_mlt":[{"subitem_text_value":"Graduate School of Mathematical Sciences (数理科学研究科)"}]},"item_7_text_27":{"attribute_name":"学位記番号","attribute_value_mlt":[{"subitem_text_value":"博数理第340号"}]},"item_7_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"東京大学大学院数理科学研究科"},{"subitem_text_value":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"廣惠, 一希"}],"nameIdentifiers":[{"nameIdentifier":"9294","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":"2017-06-01"}],"displaytype":"detail","filename":"HiroeK_21_3_PhD_a.pdf","filesize":[{"value":"4.7 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"HiroeK_21_3_PhD_a.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/4025/files/HiroeK_21_3_PhD_a.pdf"},"version_id":"0f5dfae3-21fa-44c8-960f-a3170ae16f67"},{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-01"}],"displaytype":"detail","filename":"HiroeK_21_3_PhD_b.pdf","filesize":[{"value":"230.0 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"HiroeK_21_3_PhD_b.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/4025/files/HiroeK_21_3_PhD_b.pdf"},"version_id":"13aefa9b-7a1e-43d8-a28a-cda4f9d7cbd0"}]},"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":"thesis","resourceuri":"http://purl.org/coar/resource_type/c_46ec"}]},"item_title":"Generalized Whittaker functions for degenerate principal series of GL(4, R)","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Generalized Whittaker functions for degenerate principal series of GL(4, R)"}]},"item_type_id":"7","owner":"1","path":["391","280"],"pubdate":{"attribute_name":"公開日","attribute_value":"2012-10-23"},"publish_date":"2012-10-23","publish_status":"0","recid":"4025","relation_version_is_last":true,"title":["Generalized Whittaker functions for degenerate principal series of GL(4, R)"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T03:45:45.278430+00:00"}