{"created":"2021-03-01T06:59:59.169181+00:00","id":40373,"links":{},"metadata":{"_buckets":{"deposit":"5f7de0c9-a78b-4e21-a295-d6f1518d036f"},"_deposit":{"id":"40373","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40373"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040373","sets":["312:6865:7071:7077","9:504:6868:7073:7078"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1994","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"21","bibliographicPageStart":"1","bibliographicVolumeNumber":"1","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_13":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"This paper investigates the main properties of Holder's transformation $\\Hk_F$ of the contact space $\\hat M$, generated by some function $F:\\hat M\\to\\oR$, and its relation to Legendre's transformation $\\Lk_H$. The commuting diagram $\\Lk_H\\circ\\Hk_F=\\Hk_W\\circ\\Lk_F$ and the related global properties of $\\Hk$ and $\\Lk$ are of particular interest. Holder's transformation can be used to transform Hamiltonian systems into Lie systems and Euler-Lagrange equations into Herglotz equations, this way establishing four equivalent pictures of the one-dimensional calculus of variations.","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":"MR1298539"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"49L(MSC1991)"},{"subitem_text_value":"70G(MSC1991)"},{"subitem_text_value":"70H(MSC1991)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"1993-06-17"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hildebrandt, Stefan"}],"nameIdentifiers":[{"nameIdentifier":"138971","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":"2017-06-27"}],"displaytype":"detail","filename":"jms010101.pdf","filesize":[{"value":"151.0 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms010101.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40373/files/jms010101.pdf"},"version_id":"e3988a77-93dc-4dd2-ac0b-6c79b5e61fec"}]},"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":"On Hölder's transformation","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On Hölder's transformation"}]},"item_type_id":"4","owner":"1","path":["7077","7078"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-03-04"},"publish_date":"2008-03-04","publish_status":"0","recid":"40373","relation_version_is_last":true,"title":["On Hölder's transformation"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:45.693921+00:00"}