{"created":"2023-06-19T08:25:22.491420+00:00","id":236,"links":{},"metadata":{"_buckets":{"deposit":"769ad86d-6f3f-4ad0-83f5-c5c02536f036"},"_deposit":{"created_by":18,"id":"236","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"236"},"status":"published"},"_oai":{"id":"oai:hokuriku.repo.nii.ac.jp:00000236","sets":["29:65"]},"author_link":["193"],"item_10002_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1995-12-31","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"30","bibliographicPageStart":"13","bibliographicVolumeNumber":"19","bibliographic_titles":[{"bibliographic_title":"北陸大学紀要"},{"bibliographic_title":"Bulletin of Hokuriku University","bibliographic_titleLang":"en"}]}]},"item_10002_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"For a function f∈L^p(R^n)(1≦p≦2), we denote by (S_Rf)(x)(R>0) the spherical partial sums of Fourier inverse transform of f defined by [numerical formula]and let =f(x)=F(|x|) be radial with support in {|x|≦α} (α>0). In this note, in particular, when n≧3, we give a detailed proof of the fact that, for smooth F∈C^<l+2>([0,α]), l=[(n-3)/2], vanishing in a neighborhood of the origin, a necessary and sufficient condition under which we have lim_<R→∞>(S_Rf)(0)=0 is the validity of F^(k)(α)=0 for all k=0, 1,...,l. This fact gives a negative answer to the localization problem concerning of (S_Rf)(x) for piecewise smooth radial function f.","subitem_description_type":"Abstract"}]},"item_10002_description_6":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"For a function f∈L^p(R^n)(1≦p≦2), we denote by (S_Rf)(x)(R>0) the spherical partial sums of Fourier inverse transform of f defined by [numerical formula]and let =f(x)=F(|x|) be radial with support in {|x|≦α} (α>0). In this note, in particular, when n≧3, we give a detailed proof of the fact that, for smooth F∈C^<l+2>([0,α]), l=[(n-3)/2], vanishing in a neighborhood of the origin, a necessary and sufficient condition under which we have lim_<R→∞>(S_Rf)(0)=0 is the validity of F^(k)(α)=0 for all k=0, 1,...,l. This fact gives a negative answer to the localization problem concerning of (S_Rf)(x) for piecewise smooth radial function f.","subitem_description_type":"Other"}]},"item_10002_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.15066/00000224","subitem_identifier_reg_type":"JaLC"}]},"item_10002_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"北陸大学"}]},"item_10002_relation_12":{"attribute_name":"論文ID（NAID）","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"110006556359","subitem_relation_type_select":"NAID"}}]},"item_10002_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN00227706","subitem_source_identifier_type":"NCID"}]},"item_10002_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0387074X","subitem_source_identifier_type":"ISSN"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Kojima, Michitaka"}],"nameIdentifiers":[{"nameIdentifier":"193","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"9000006626644","nameIdentifierScheme":"CiNii ID","nameIdentifierURI":"http://ci.nii.ac.jp/nrid/9000006626644"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2014-10-16"}],"displaytype":"detail","filename":"110006556359.pdf","filesize":[{"value":"524.1 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"110006556359","url":"https://hokuriku.repo.nii.ac.jp/record/236/files/110006556359.pdf"},"version_id":"db6ebba1-5e39-4a1a-8bb0-cac8e5fbd4c0"}]},"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 Convergence of Fourier Inverse Transforms for Piecewise Smooth Radial Functions in R^n","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On Convergence of Fourier Inverse Transforms for Piecewise Smooth Radial Functions in R^n"},{"subitem_title":"On Convergence of Fourier Inverse Transforms for Piecewise Smooth Radial Functions in R^n","subitem_title_language":"en"}]},"item_type_id":"10002","owner":"18","path":["65"],"pubdate":{"attribute_name":"公開日","attribute_value":"2014-10-16"},"publish_date":"2014-10-16","publish_status":"0","recid":"236","relation_version_is_last":true,"title":["On Convergence of Fourier Inverse Transforms for Piecewise Smooth Radial Functions in R^n"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2023-06-19T08:41:14.043259+00:00"}