{"created":"2023-06-20T13:52:27.731839+00:00","id":1704,"links":{},"metadata":{"_buckets":{"deposit":"d194a8bd-0791-4a8e-af16-790afdf1ef23"},"_deposit":{"created_by":3,"id":"1704","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"1704"},"status":"published"},"_oai":{"id":"oai:shotoku.repo.nii.ac.jp:00001704","sets":["1:163:198"]},"author_link":["2418","2417"],"item_3_biblio_info_12":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1998-02-28","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"77","bibliographicPageStart":"73","bibliographicVolumeNumber":"35","bibliographic_titles":[{"bibliographic_title":"聖徳学園岐阜教育大学紀要"},{"bibliographic_title":"Bulletin of Gifu College of Education","bibliographic_titleLang":"en"}]}]},"item_3_description_11":{"attribute_name":"抄録(英)","attribute_value_mlt":[{"subitem_description":"Let C be the class of all functions which are analytic in D : |z|<1 and continuous on D^^- : |z|≦1,and E be a non-void closed set of Lebesgue measure zero on γ : |z|=1. Then, in §1 of this note, we shal prove the following. Lemma. For any open (considered on γ) set 0 such that E ⊂0⊂__≠γ and for any η>0,there exists a function g(z)∈C satisfying the conditions (I)g=1 on E, (ii) |g|<η on γ-0,and (iii) |g(z)|<1 in D. In §2,by combining the above lemma with the generalized Runge's theorem [1], we shall give a simple proof for a theorem due to Rudin [2] and Carleson [3]. In §3,by using the above Rudin-Carleson's theorem, we shall give a new proof of the well-known F. and M. Riesz's theorem."}]},"item_3_source_id_1":{"attribute_name":"雑誌書誌ID","attribute_value_mlt":[{"subitem_source_identifier":"AN0011586X"}]},"item_3_source_id_19":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"09160175"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"加藤, 政壽美"},{"creatorName":"カトウ, マサスミ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"KATO, MASASUMI","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-03-17"}],"displaytype":"detail","filename":"KJ00000110389.pdf","filesize":[{"value":"223.4 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"KJ00000110389.pdf","url":"https://shotoku.repo.nii.ac.jp/record/1704/files/KJ00000110389.pdf"},"version_id":"329ca370-a19e-4109-a77e-a905cb825fb2"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper"}]},"item_title":"Rudin-Carleson の定理について","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Rudin-Carleson の定理について"},{"subitem_title":"On a theorem of Rudin-Carleson","subitem_title_language":"en"}]},"item_type_id":"3","owner":"3","path":["198"],"pubdate":{"attribute_name":"公開日","attribute_value":"2017-03-17"},"publish_date":"2017-03-17","publish_status":"0","recid":"1704","relation_version_is_last":true,"title":["Rudin-Carleson の定理について"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2023-06-20T14:19:54.246624+00:00"}