{"created":"2021-03-01T06:14:56.965831+00:00","id":12043,"links":{},"metadata":{"_buckets":{"deposit":"35e8f3a3-b9da-49fe-9c29-c1c36c83ae85"},"_deposit":{"id":"12043","owners":[],"pid":{"revision_id":0,"type":"depid","value":"12043"},"status":"published"},"_oai":{"id":"oai:soar-ir.repo.nii.ac.jp:00012043","sets":["1169:1171:1172:1187"]},"author_link":["36909","36910"],"item_10_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1998-03-30","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"67","bibliographicPageStart":"61","bibliographicVolumeNumber":"32","bibliographic_titles":[{"bibliographic_title":"信州大学理学部紀要"}]}]},"item_10_description_20":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In [2] (∞-p)-form on a k-th Sobolev space Wk(X), X a compact (spin) manifold, was defined by using Sobolev duality. Integrals of (∞-p)-form on an (∞-p)-form on a cube in Wk(X) were defined without using measure. We show when the lenghth of sides of the cube tends to ∞, infinite dimensional Gaussian integral that is principal on application converges if and only if the cube is imbedded in Wk(X), k<-d+1/2.","subitem_description_type":"Abstract"}]},"item_10_description_30":{"attribute_name":"資源タイプ（コンテンツの種類）","attribute_value_mlt":[{"subitem_description":"Article","subitem_description_type":"Other"}]},"item_10_description_5":{"attribute_name":"引用","attribute_value_mlt":[{"subitem_description":"信州大学理学部紀要 32(2): 61-67(1998)","subitem_description_type":"Other"}]},"item_10_publisher_4":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"信州大学理学部"}]},"item_10_source_id_35":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0583-063X","subitem_source_identifier_type":"PISSN"}]},"item_10_source_id_40":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00697923","subitem_source_identifier_type":"NCID"}]},"item_1627890569677":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"ASADA,  Akira","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"TANABE,  Nobuhiko","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2015-09-28"}],"displaytype":"detail","filename":"Science32-02-01.pdf","filesize":[{"value":"226.0 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"Science32-02-01.pdf","url":"https://soar-ir.repo.nii.ac.jp/record/12043/files/Science32-02-01.pdf"},"version_id":"32382fdc-18c8-453d-b9dc-00627f16ae5b"}]},"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":"A Remark on Infinite Dimensional Gaussian Integral in a Sobolev Space","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"A Remark on Infinite Dimensional Gaussian Integral in a Sobolev Space","subitem_title_language":"en"}]},"item_type_id":"10","owner":"1","path":["1187"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2010-10-06"},"publish_date":"2010-10-06","publish_status":"0","recid":"12043","relation_version_is_last":true,"title":["A Remark on Infinite Dimensional Gaussian Integral in a Sobolev Space"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-03-08T01:52:38.837124+00:00"}