{"created":"2021-03-01T06:59:34.739045+00:00","id":40015,"links":{},"metadata":{"_buckets":{"deposit":"ac6ed678-2550-4160-9fdf-02621e4eb963"},"_deposit":{"id":"40015","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40015"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040015","sets":["312:6865:6899:6900","9:504:6868:6901:6902"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2013-03-15","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"4","bibliographicPageEnd":"675","bibliographicPageStart":"661","bibliographicVolumeNumber":"19","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In 1953 K. Oka IX solved in first and in a final form Levi’s problem (Hartogs’ inverse problem) for domains or Riemann domains over Cn of arbitrary dimension. Later on a number of the proofs were given; cf. e.g., Docquier-Grauert’s paper in 1960, R. Narasimhan’s paper in 1961/62, Gunning-Rossi’s book, and H¨ormander’s book (in which the holomorphic separability is pre-assumed in the definition of Riemann domains and thus the assumption is stronger than the one in the present paper). Here we will give another direct elementary proof of Oka’s Theorem, relying only on Grauert’s finiteness theorem by the induction on the dimension and the jets over Riemann domains; here we do not use even Behnke-Stein’s theorem on the Steiness of an open Riemann surface. Hopefully, the proof is the easiest.","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":"MR"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"32E40(MSC2010)"},{"subitem_text_value":"32T05(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2012-05-23"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"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":"Noguchi, Junjiro"}],"nameIdentifiers":[{"nameIdentifier":"92451","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":"2017-06-14"}],"displaytype":"detail","filename":"jms190407.pdf","filesize":[{"value":"128.0 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms190407.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40015/files/jms190407.pdf"},"version_id":"8314cc55-e185-499a-aaa4-8d3017df66b7"}]},"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":"Another Direct Proof of Oka's Theorem (Oka IX)","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Another Direct Proof of Oka's Theorem (Oka IX)"}]},"item_type_id":"4","owner":"1","path":["6900","6902"],"pubdate":{"attribute_name":"公開日","attribute_value":"2015-12-15"},"publish_date":"2015-12-15","publish_status":"0","recid":"40015","relation_version_is_last":true,"title":["Another Direct Proof of Oka's Theorem (Oka IX)"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:14:55.906189+00:00"}