{"created":"2023-06-20T16:48:37.523598+00:00","id":20619,"links":{},"metadata":{"_buckets":{"deposit":"0a0731aa-a700-489d-ac9e-1a94a2b577aa"},"_deposit":{"created_by":3,"id":"20619","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"20619"},"status":"published"},"_oai":{"id":"oai:kindai.repo.nii.ac.jp:00020619","sets":["14:2667:4550"]},"author_link":["3161"],"control_number":"20619","item_8_biblio_info_21":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"4","bibliographicPageStart":"1","bibliographic_titles":[{"bibliographic_title":"科学研究費助成事業研究成果報告書 (2018)"}]}]},"item_8_description_25":{"attribute_name":"リンクURL","attribute_value_mlt":[{"subitem_description":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15K17564/","subitem_description_type":"Other"}]},"item_8_description_33":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"研究成果の概要（和文）：本研究では，集合のオイラー数をその有限加法的測度とする構成可能関数や定義可能関数といった代数的な背景をもつ関数の積分変換について，反転公式，像の特徴づけ，応用を中心に研究している．本研究課題の研究成果は3つに大別できる：コンパクトグラスマン多様体の間の構成可能関数の位相的ラドン変換の単射性定理の証明，アフィングラスマン多様体の間の大域的構成可能関数の位相的ラドン変換の諸性質の部分的解明，定義可能関数の位相的ラドン変換の諸性質の部分的な解明，である．研究成果の概要（英文）：In this research, we study integral transforms of constructible functions and definable functions, whose integral theory is based on the topological Euler characteristics. We obtained the following results: the injectivity theorem of topological Radon transforms of constructible functions on compact Grassmann manifolds, several properties of topological Radon transforms of globally constructible functions on affine Grassmann manifolds and several properties of topological Radon transforms of definable functions.","subitem_description_type":"Abstract"}]},"item_8_description_36":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"研究種目：基盤研究(C);  研究期間：2015～2018;   課題番号：15K17564;   研究分野：数学(代数解析学);   科研費の分科・細目：","subitem_description_type":"Other"}]},"item_8_description_37":{"attribute_name":"資源タイプ(WEKO2)","attribute_value_mlt":[{"subitem_description":"Research Paper","subitem_description_type":"Other"}]},"item_8_description_41":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_8_publisher_14":{"attribute_name":"出版者 名前","attribute_value_mlt":[{"subitem_publisher":"近畿大学"}]},"item_8_text_10":{"attribute_name":"著者 役割","attribute_value_mlt":[{"subitem_text_value":"研究代表者"}]},"item_8_text_7":{"attribute_name":"著者(英)","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"MATSUI, Yutaka"}]},"item_8_text_8":{"attribute_name":"著者 所属","attribute_value_mlt":[{"subitem_text_value":"近畿大学理工学部; 准教授"}]},"item_8_text_9":{"attribute_name":"著者所属(翻訳)","attribute_value_mlt":[{"subitem_text_value":"Kindai University"}]},"item_8_version_type_12":{"attribute_name":"版","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_be7fb7dd8ff6fe43","subitem_version_type":"NA"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"松井, 優"},{"creatorName":"マツイ, ユタカ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{"nameIdentifier":"3161","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"10510026","nameIdentifierScheme":"NRID","nameIdentifierURI":"https://nrid.nii.ac.jp/ja/search/?kw=10510026"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-03-12"}],"displaytype":"detail","filename":"15K17564seika.pdf","filesize":[{"value":"80.6 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"15K17564seika.pdf","url":"https://kindai.repo.nii.ac.jp/record/20619/files/15K17564seika.pdf"},"version_id":"f31389dc-d5dd-4c3d-8c80-3f2f2151553a"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"ラドン変換","subitem_subject_scheme":"Other"},{"subitem_subject":"構成可能関数","subitem_subject_scheme":"Other"},{"subitem_subject":"定義可能関数","subitem_subject_scheme":"Other"}]},"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":"research report","resourceuri":"http://purl.org/coar/resource_type/c_18ws"}]},"item_title":"位相的ラドン変換の超局所解析と特異点理論への応用","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"位相的ラドン変換の超局所解析と特異点理論への応用","subitem_title_language":"ja"},{"subitem_title":"Microlocal analysis of topological Radon transforms and their applications to singularity theory","subitem_title_language":"en"}]},"item_type_id":"8","owner":"3","path":["4550"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2020-03-12"},"publish_date":"2020-03-12","publish_status":"0","recid":"20619","relation_version_is_last":true,"title":["位相的ラドン変換の超局所解析と特異点理論への応用"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2023-09-15T01:35:54.172369+00:00"}