{"created":"2021-03-01T06:20:40.401039+00:00","id":4020,"links":{},"metadata":{"_buckets":{"deposit":"efcf1c18-e4bf-4906-9d0f-23155a9fd2cf"},"_deposit":{"id":"4020","owners":[],"pid":{"revision_id":0,"type":"depid","value":"4020"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00004020","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":"一般大久保型方程式とミドルコンボルーション"}]},"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":"The present thesis consists of the two part:/ I Generalized Okubo systems and the middle convolution / II Confluence of singular points and the Okubo systems In the first part, we give a generalization, called a generalized Okubo system, of a system of linear differential equations of the Okubo normal form and define a mapping π from a set of generalized Okubo systems to a set of linear differential systems. We consider the operation, the middle convolution introduced by Katz, using π, and show that any system of linear differential equations, not necessarily of the Fuchsian type, with a regular singularity at infinity, can be transformed into generalized Okubo system. For any non-Fuchsian system, we can construct a Fuchsian system with a parameter ε which tends to the given equation as ε→ 0. In the second part, we consider a confluence of the convolution in the sense of Katz-Dettweiler-Reiter and we show that convolutions of each equation is compatiple with the confluence.","subitem_description_type":"Abstract"}]},"item_7_dissertation_number_26":{"attribute_name":"学位授与番号","attribute_value_mlt":[{"subitem_dissertationnumber":"甲第24974号"}]},"item_7_full_name_3":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"9287","nameIdentifierScheme":"WEKO"}],"names":[{"name":"川上, 拓志"}]}]},"item_7_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.15083/00004011","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329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":"KAWAKAMI, Hiroshi"}],"nameIdentifiers":[{"nameIdentifier":"9286","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":"HiroshiK_21_3_PhD_a.pdf","filesize":[{"value":"3.1 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"HiroshiK_21_3_PhD_a.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/4020/files/HiroshiK_21_3_PhD_a.pdf"},"version_id":"ce414b5a-d2a1-44db-936e-1c33bcd9dbf2"},{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-01"}],"displaytype":"detail","filename":"HiroshiK_21_3_PhD_b.pdf","filesize":[{"value":"254.7 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"HiroshiK_21_3_PhD_b.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/4020/files/HiroshiK_21_3_PhD_b.pdf"},"version_id":"584eecb3-4c2f-4be6-aaaa-b86050b12f11"}]},"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 Okubo systems and the middle convolution","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Generalized Okubo systems and the middle convolution"}]},"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":"4020","relation_version_is_last":true,"title":["Generalized Okubo systems and the middle convolution"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T03:45:43.927602+00:00"}