{"created":"2021-03-01T06:59:53.099971+00:00","id":40284,"links":{},"metadata":{"_buckets":{"deposit":"6530e026-655d-48d4-ab4a-41caa5b9ffd1"},"_deposit":{"id":"40284","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40284"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040284","sets":["312:6865:7037:7045","9:504:6868:7039:7046"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1998","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"117","bibliographicPageStart":"99-","bibliographicVolumeNumber":"5","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":"Consider the Bergman kernel $K^B(z)$ of the domain $\\ellip = \\{z \\in \\Comp^n ; \\sum_{j=1}^n |z_j|^{2m_j}<1 \\}$, where $m=(m_1,\\ldots,m_n) \\in \\Natl^n$ and $m_n \\\neq 1$. Let $z^0 \\in \\partial \\ellip$ be any weakly pseudoconvex point, $k \\in \\Natl$ the degenerate rank of the Levi form at $z^0$. An explicit formula for $K^B(z)$ modulo analytic functions is given in terms of the polar coordinates $(t_1, \\ldots, t_k, r)$ around $z^0$. This formula provides detailed information about the singularities of $K^B(z)$, which improves the result of A. Bonami and N. Lohoue \\cite{bol}. A similar result is established also for the Szego kernel $K^S(z)$ of $\\ellip$.","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":"MR1617073"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"32A40(MSC1991)"},{"subitem_text_value":"32F15(MSC1991)"},{"subitem_text_value":"32H10(MSC1991)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"1996-12-10"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Kamimoto, Joe"}],"nameIdentifiers":[{"nameIdentifier":"138881","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":"jms050105.pdf","filesize":[{"value":"180.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms050105.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40284/files/jms050105.pdf"},"version_id":"ba3d613a-f060-4d13-98aa-ad25f07f94cf"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Bergman kernel","subitem_subject_scheme":"Other"},{"subitem_subject":"Szego kernel","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":"Singularities of the Bergman Kernel for Certain Weakly Pseudoconvex Domains","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Singularities of the Bergman Kernel for Certain Weakly Pseudoconvex Domains"}]},"item_type_id":"4","owner":"1","path":["7045","7046"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-03-04"},"publish_date":"2008-03-04","publish_status":"0","recid":"40284","relation_version_is_last":true,"title":["Singularities of the Bergman Kernel for Certain Weakly Pseudoconvex Domains"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:37.580012+00:00"}