{"_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"}, "item_4_biblio_info_7": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "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": "\u6284\u9332", "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\u221e functions. The key in our analysis is a toric resolution of singularities in the above class of C\u221e 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": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "Graduate School of Mathematical Sciences, The University of Tokyo"}]}, "item_4_source_id_10": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "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": "\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5", "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": "\u539f\u7a3f\u53d7\u9818\u65e5", "attribute_value_mlt": [{"subitem_text_value": "2014-01-23"}]}, "item_4_text_34": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "item_4_text_4": {"attribute_name": "\u8457\u8005\u6240\u5c5e", "attribute_value_mlt": [{"subitem_text_value": "Faculty of Mathematics, Kyushu University"}, {"subitem_text_value": "Faculty of Engineering, Kyushu Sangyo University"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "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": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2017-06-14"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "jms230203.pdf", "filesize": [{"value": "338.1 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 338100.0, "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": "\u30ad\u30fc\u30ef\u30fc\u30c9", "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 \u03b5\u02c6[P](U) and \u03b5\u02c6(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": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "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\u221e Functions and Asymptotic Analysis of Oscillatory Integrals", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Toric Resolution of Singularities in a Certain Class of C\u221e Functions and Asymptotic Analysis of Oscillatory Integrals"}]}, "item_type_id": "4", "owner": "1", "path": ["312/6865/6866/6867", "9/504/6868/6869/6870"], "permalink_uri": "http://hdl.handle.net/2261/72175", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2017-04-13"}, "publish_date": "2017-04-13", "publish_status": "0", "recid": "39948", "relation": {}, "relation_version_is_last": true, "title": ["Toric Resolution of Singularities in a Certain Class of C\u221e Functions and Asymptotic Analysis of Oscillatory Integrals"], "weko_shared_id": null}