{"created":"2021-03-01T06:59:00.850733+00:00","id":39514,"links":{},"metadata":{"_buckets":{"deposit":"053f4b34-8f19-4f6b-b39a-27379d9a8db7"},"_deposit":{"id":"39514","owners":[],"pid":{"revision_id":0,"type":"depid","value":"39514"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00039514"},"item_4_biblio_info_7":{"attribute_name":"\u66f8\u8a8c\u60c5\u5831","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1986-10-15","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"439","bibliographicPageStart":"429","bibliographicVolumeNumber":"33","bibliographic_titles":[{"bibliographic_title":"Journal of the Faculty of Science, the University of Tokyo. Sect. 1 A, Mathematics = \u6771\u4eac\u5927\u5b66\u7406\u5b66\u90e8\u7d00\u8981. \u7b2c1\u985eA, \u6570\u5b66"}]}]},"item_4_description_13":{"attribute_name":"\u30d5\u30a9\u30fc\u30de\u30c3\u30c8","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"\u6284\u9332","attribute_value_mlt":[{"subitem_description":"Let $M = R^n$, $iS*M = R^n  \\times iS^{n - 1}$. For coordinates $(x + i\\eta ) = (x_1 ,x';i\\eta _1 ,i\\eta ')$ in $iS*M$, we set $N = \\left\\{ {x_1 = 0} \\right\\},M^ + = \\left\\{ {x_1  \\geqslant 0} \\right\\},S^{n - 2}=\\left\\{ {i\\eta _1  = 0} \\right\\},iS*N = R^{n - 1}  \\times iS^{n - 2} $. Let $P = P(D)$ be a differential operator with constant coefficients and order m for which N is non-characteristic. Let $A_M $ be the sheaf of real analytic functions on M, denote by $A_M^P $ the kernel sheaf of P, and, for $u \\in \\Gamma (U \\cap \\mathop {M^ +  }\\limits^ \\circ  ,A_M^P ),U \\subset M$ open, let $\\gamma (u)$ be the m traces of u on $U \\cap N$. For $(x'+i\\eta') \\in iS*N$ with $(0,x') \\in U$ we discuss the condition : $(0,1)$ $(x',i\\eta ') \\\notin SS\\gamma (u)$ for any $u \\in \\Gamma (U \\cap \\mathop {M^+ }\\limits^ \\circ  ,A_M^P )$. We prove that \"\"$ - \\eta '$-semihyperbolicity\"\" to $N^ +  $ of P implies $(0,1)$. Under some additional hypotheses we also prove the converse. The first part of the statement was conjectured by Kaneko in [2]; its proof is a consequence of the results of [11] on N-regularity\"\" of non-microcharacteristic operators. The second part is obtained by means of a microlocallynull solution. I wish to thank Prof. P. Schapira for frequent and invaluable discussions on this subject.","subitem_description_type":"Abstract"}]},"item_4_identifier_registration":{"attribute_name":"ID\u767b\u9332","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.15083/00039505","subitem_identifier_reg_type":"JaLC"}]},"item_4_publisher_20":{"attribute_name":"\u51fa\u7248\u8005","attribute_value_mlt":[{"subitem_publisher":"Faculty of Science, The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID","attribute_value_mlt":[{"subitem_source_identifier":"AA00697967","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0040-8980","subitem_source_identifier_type":"ISSN"}]},"item_4_subject_15":{"attribute_name":"\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_4_text_16":{"attribute_name":"Mathematical Reviews Number","attribute_value_mlt":[{"subitem_text_value":"MR0866400 (88a:35015)"}]},"item_4_text_4":{"attribute_name":"\u8457\u8005\u6240\u5c5e","attribute_value_mlt":[{"subitem_text_value":"Department de Mathematiques CSP Univ."},{"subitem_text_value":"Istituto di Analisi dell'Universita"}]},"item_creator":{"attribute_name":"\u8457\u8005","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Giuseppe, Zampieri"}],"nameIdentifiers":[{"nameIdentifier":"138186","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":"2017-06-27"}],"displaytype":"detail","filename":"jfs330210.pdf","filesize":[{"value":"472.6 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jfs330210.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/39514/files/jfs330210.pdf"},"version_id":"ce92194f-5457-48fb-86b7-830ef9169b4b"}]},"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":"Propagation of microanalyticity at the boundary for solutions of linear differential equations","item_titles":{"attribute_name":"\u30bf\u30a4\u30c8\u30eb","attribute_value_mlt":[{"subitem_title":"Propagation of microanalyticity at the boundary for solutions of linear differential equations"}]},"item_type_id":"4","owner":"1","path":["312/6589/6647/6651","9/504/6592/6649/6652"],"pubdate":{"attribute_name":"\u516c\u958b\u65e5","attribute_value":"2007-05-15"},"publish_date":"2007-05-15","publish_status":"0","recid":"39514","relation_version_is_last":true,"title":["Propagation of microanalyticity at the boundary for solutions of linear differential equations"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2021-03-01T14:09:19.796738+00:00"}