WEKO3
アイテム
{"_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": ["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|\u003c1 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\u003e0,there exists a function g(z)∈C satisfying the conditions (I)g=1 on E, (ii) |g|\u003cη on γ-0,and (iii) |g(z)|\u003c1 in D. In §2,by combining the above lemma with the generalized Runge\u0027s 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\u0027s theorem, we shall give a new proof of the well-known F. and M. Riesz\u0027s theorem.", "subitem_description_type": "Other"}]}, "item_3_description_15": {"attribute_name": "表示順", "attribute_value_mlt": [{"subitem_description": "6", "subitem_description_type": "Other"}]}, "item_3_description_16": {"attribute_name": "アクセション番号", "attribute_value_mlt": [{"subitem_description": "KJ00000110389", "subitem_description_type": "Other"}]}, "item_3_source_id_1": {"attribute_name": "雑誌書誌ID", "attribute_value_mlt": [{"subitem_source_identifier": "AN0011586X", "subitem_source_identifier_type": "NCID"}]}, "item_3_source_id_19": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "09160175", "subitem_source_identifier_type": "ISSN"}]}, "item_3_title_3": {"attribute_name": "論文名よみ", "attribute_value_mlt": [{"subitem_title": "〓"}]}, "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": [{"nameIdentifier": "2417", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "KATO, MASASUMI", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "2418", "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": "2017-03-17"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "KJ00000110389.pdf", "filesize": [{"value": "223.4 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_11", "mimetype": "application/pdf", "size": 223400.0, "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", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "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"], "permalink_uri": "https://shotoku.repo.nii.ac.jp/records/1704", "pubdate": {"attribute_name": "公開日", "attribute_value": "2017-03-17"}, "publish_date": "2017-03-17", "publish_status": "0", "recid": "1704", "relation": {}, "relation_version_is_last": true, "title": ["Rudin-Carleson の定理について"], "weko_shared_id": -1}
Rudin-Carleson の定理について
https://shotoku.repo.nii.ac.jp/records/1704
https://shotoku.repo.nii.ac.jp/records/17049822388d-2238-4c86-9864-51cdc985bf16
名前 / ファイル | ライセンス | アクション |
---|---|---|
KJ00000110389.pdf (223.4 kB)
|
Item type | [ELS]紀要論文 / Departmental Bulletin Paper(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2017-03-17 | |||||
タイトル | ||||||
タイトル | Rudin-Carleson の定理について | |||||
タイトル | ||||||
タイトル | On a theorem of Rudin-Carleson | |||||
言語 | ||||||
言語 | jpn | |||||
資源タイプ | ||||||
著者 |
加藤, 政壽美
× 加藤, 政壽美× KATO, MASASUMI |
|||||
抄録(英) | ||||||
内容記述 | 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. | |||||
書誌情報 |
聖徳学園岐阜教育大学紀要 en : Bulletin of Gifu College of Education 巻 35, p. 73-77, 発行日 1998-02-28 |
|||||
雑誌書誌ID | ||||||
収録物識別子 | AN0011586X | |||||
ISSN | ||||||
収録物識別子 | 09160175 |