{"created":"2025-05-24T14:55:17.322638+00:00","id":2093598,"links":{},"metadata":{"_buckets":{"deposit":"591c0709-f866-4764-8934-49bebba77c0c"},"_deposit":{"created_by":14,"id":"2093598","owner":"14","owners":[14],"pid":{"revision_id":0,"type":"depid","value":"2093598"},"status":"published"},"_oai":{"id":"oai:osaka-kyoiku.repo.nii.ac.jp:02093598","sets":["1706784336634:1706784822880:1708600628435:1709457850674"]},"author_link":[],"item_10002_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2006-09-29","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"20","bibliographicPageStart":"1","bibliographicVolumeNumber":"55","bibliographic_titles":[{"bibliographic_title":"大阪教育大学紀要.III,自然科学・応用科学","bibliographic_titleLang":"ja"}]}]},"item_10002_description_6":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"Let n≧3.We point out that, for the indicator function of the n-dimensional ball, the spherical partial sum of Fourier series oscillates at the center of the ball, and that, if the radius of the ball is 1/k(k=2,3,・・・), then the period of the oscillation is k. Moreover, we give graphs of the partial sums when n=3,4,5 and 6. We can see the Pinsky phenomenon and the Gibbs phenomenon in them. In the cases of n=5 and 6 we can see another phenomenon. 2000 Mathematics Subject Classification. Primary 42B05.|n≧3とする。n次元球の特性関数について,フーリエ級数の球形部分和は球の中心で振動すること,そしてその振動の周期は,球の半径が1/k(k=2,3,・・・)のときkであることを指摘する。さらに,n=3,4,5,6の場合について,その部分和のグラフを与える。グラフには,ピンスキー現象とギッブス現象が見られる。n=5と6の場合には,これ以外の現象も見ることができる。","subitem_description_type":"Other"}]},"item_10002_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.32287/TD00000372","subitem_identifier_reg_type":"JaLC"}]},"item_10002_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"大阪教育大学","subitem_publisher_language":"ja"}]},"item_10002_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN10460897","subitem_source_identifier_type":"NCID"}]},"item_10002_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13457209","subitem_source_identifier_type":"ISSN"}]},"item_10002_version_type_20":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_1708778167539":{"attribute_name":"DCMI資源タイプ","attribute_value_mlt":[{"interim":"Text"}]},"item_1709629085853":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"Article"}]},"item_1709629224652":{"attribute_name":"資料種別(NIIタイプ)","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_1709631006745":{"attribute_name":"TD番号","attribute_value_mlt":[{"interim":"TD00000372"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"KURATSUBO, Shigehiko","creatorNameLang":"ja"},{"creatorName":"クラツボ, シゲヒコ","creatorNameLang":"ja-Kana"},{"creatorName":"倉坪, 茂彦","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"NAKAI, Eiichi","creatorNameLang":"ja"},{"creatorName":"ナカイ, エイイチ","creatorNameLang":"ja-Kana"},{"creatorName":"中井, 英一","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"OOTSUBO, Kazuya","creatorNameLang":"ja"},{"creatorName":"オオツボ, カズヤ","creatorNameLang":"ja-Kana"},{"creatorName":"大坪, 和弥","creatorNameLang":"en"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2007-05-17"}],"filename":"fs0904.pdf","filesize":[{"value":"15.7 MB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"url":"https://osaka-kyoiku.repo.nii.ac.jp/record/2093598/files/fs0904.pdf"},"version_id":"949f0886-d2a7-417e-ab78-29070d2d8538"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Fourier series","subitem_subject_scheme":"Other"},{"subitem_subject":"Pinsky phenomenon","subitem_subject_scheme":"Other"},{"subitem_subject":"Gibbs phenomenon","subitem_subject_scheme":"Other"},{"subitem_subject":"spherical partial sum","subitem_subject_scheme":"Other"},{"subitem_subject":"radial function","subitem_subject_scheme":"Other"},{"subitem_subject":"indicator function","subitem_subject_scheme":"Other"},{"subitem_subject":"フーリエ級数","subitem_subject_scheme":"Other"},{"subitem_subject":"ピンスキー現象","subitem_subject_scheme":"Other"},{"subitem_subject":"ギッブス現象","subitem_subject_scheme":"Other"},{"subitem_subject":"球形部分和","subitem_subject_scheme":"Other"},{"subitem_subject":"放射状関数","subitem_subject_scheme":"Other"},{"subitem_subject":"特性関数","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_title":"On the Pinsky Phenomenon of Fourier Series of the Indicator Function in Several Variables","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On the Pinsky Phenomenon of Fourier Series of the Indicator Function in Several Variables","subitem_title_language":"en"}]},"item_type_id":"40003","owner":"14","path":["1709457850674"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2007-05-17"},"publish_date":"2007-05-17","publish_status":"0","recid":"2093598","relation_version_is_last":true,"title":["On the Pinsky Phenomenon of Fourier Series of the Indicator Function in Several Variables"],"weko_creator_id":"14","weko_shared_id":-1},"updated":"2025-05-24T14:55:34.964854+00:00"}