{"created":"2021-03-01T06:59:30.195296+00:00","id":39948,"links":{},"metadata":{"_buckets":{"deposit":"768da6ff-d4b9-47f6-9cad-819356f43908"},"_deposit":{"id":"39948","owners":[],"pid":{"revision_id":0,"type":"depid","value":"39948"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00039948","sets":["312:6865:6866:6867","9:504:6868:6869:6870"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016-02-25","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"485","bibliographicPageStart":"425","bibliographicVolumeNumber":"23","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In a seminal work of A. N. Varchenko, the behavior at infinity of oscillatory integrals with real analytic phase is precisely investigated by using the theory of toric varieties based on the geometry of the Newton polyhedron of the phase. The purpose of this paper is to generalize his results to the case that the phase is contained in a certain class of C∞ functions. The key in our analysis is a toric resolution of singularities in the above class of C∞ functions. The properties of poles of local zeta functions, which are closely related to the behavior of oscillatory integrals, are also studied under the associated situation.","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":"MR"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"58K55(MSC2010)"},{"subitem_text_value":"14M25(MSC2010)"},{"subitem_text_value":"42B20(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2014-01-23"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Faculty of Mathematics, Kyushu University"},{"subitem_text_value":"Faculty of Engineering, Kyushu Sangyo University"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Kamimoto, Joe"}],"nameIdentifiers":[{"nameIdentifier":"92351","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Nose, Toshihiro"}],"nameIdentifiers":[{"nameIdentifier":"92352","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":"2017-06-14"}],"displaytype":"detail","filename":"jms230203.pdf","filesize":[{"value":"338.1 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms230203.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/39948/files/jms230203.pdf"},"version_id":"bf34a409-ab34-4e75-9d27-bb216047c867"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Oscillatory integrals","subitem_subject_scheme":"Other"},{"subitem_subject":"oscillation index and its multiplicity","subitem_subject_scheme":"Other"},{"subitem_subject":"local zeta function","subitem_subject_scheme":"Other"},{"subitem_subject":"toric resolution","subitem_subject_scheme":"Other"},{"subitem_subject":"the classes εˆ[P](U) and εˆ(U)","subitem_subject_scheme":"Other"},{"subitem_subject":"asymptotic expansion","subitem_subject_scheme":"Other"},{"subitem_subject":"Newton polyhedra","subitem_subject_scheme":"Other"}]},"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":"Toric Resolution of Singularities in a Certain Class of C∞ Functions and Asymptotic Analysis of Oscillatory Integrals","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Toric Resolution of Singularities in a Certain Class of C∞ Functions and Asymptotic Analysis of Oscillatory Integrals"}]},"item_type_id":"4","owner":"1","path":["6867","6870"],"pubdate":{"attribute_name":"公開日","attribute_value":"2017-04-13"},"publish_date":"2017-04-13","publish_status":"0","recid":"39948","relation_version_is_last":true,"title":["Toric Resolution of Singularities in a Certain Class of C∞ Functions and Asymptotic Analysis of Oscillatory Integrals"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:14:48.473170+00:00"}