{"_buckets": {"deposit": "2d1313f5-7f74-4cf3-a7bf-825c6d9fa421"}, "_deposit": {"id": "39565", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "39565"}, "status": "published"}, "_oai": {"id": "oai:repository.dl.itc.u-tokyo.ac.jp:00039565"}, "item_4_biblio_info_7": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "1983-12-10", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "2", "bibliographicPageEnd": "332", "bibliographicPageStart": "299", "bibliographicVolumeNumber": "30", "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": "We denote the variables in $R^{n + 1}$ by $x=(x_0 ,x^\u0027)$, where $x_0  \\in R$ and $x^\u0027  \\in R^n$. We consider partial differential operators of the form $P(x,\\partial /\\partial x) = \\sum\\limits_{\\left\uff5c \\alpha  \\right\uff5c \\leqslant m} {a_\\alpha  } (x)x_0^{\\kappa (\\left\uff5c \\alpha  \\right\uff5c)} (\\partial /\\partial x)^\\alpha $, where $\\kappa (j)$ is some integer $ \\geqslant 0$, $a_\\alpha (x)$ is real analytic in a neighborhood of $x=0$, and $a_{(m,0, \\ldots ,0)}=1$. We define the irregularity $\\iota  \\in \\left[ {1,\\infty )} \\right.$ and the characteristic exponents $\\lambda _1 , \\ldots ,\\lambda _{\\kappa (m)}  \\in C$ of the operator P at the point $\\mathop x\\limits^ \\circ  ^*  = (0;\\sqrt { - 1} ,0, \\ldots ,0) \\in \\sqrt { - 1} T*R^{n + 1}$. It will be proved that if $\\iota \u003e1$ and all the characteristic exponents of P are distinct, then P is equivalent microlocally to the operator $x_0^{k(m)} :C_{R^{n + 1} }  \\to C_{R^{n + 1} }$ $u \\to x_0^{k(m)} u$ in a neighborhood of $\\mathop x\\limits^ \\circ ^*$.", "subitem_description_type": "Abstract"}]}, "item_4_identifier_registration": {"attribute_name": "ID\u767b\u9332", "attribute_value_mlt": [{"subitem_identifier_reg_text": "10.15083/00039556", "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": "00408980", "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": "MR0722499 (85e:58139)"}]}, "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": "Department of Mathematics Faculty of Science University of Tokyo"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Uchikoshi, Keisuke"}], "nameIdentifiers": [{"nameIdentifier": "138241", "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", "download_preview_message": "", "file_order": 0, "filename": "jfs300205.pdf", "filesize": [{"value": "1.0 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 1000000.0, "url": {"label": "jfs300205.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/39565/files/jfs300205.pdf"}, "version_id": "9d8d1ebc-5e81-42db-aa2c-b0455b02fee5"}]}, "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": "Microlocal analysis of partial differential operators with irregular singularities", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Microlocal analysis of partial differential operators with irregular singularities"}]}, "item_type_id": "4", "owner": "1", "path": ["312/6589/6671/6675", "9/504/6592/6673/6676"], "permalink_uri": "https://doi.org/10.15083/00039556", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2007-05-15"}, "publish_date": "2007-05-15", "publish_status": "0", "recid": "39565", "relation": {}, "relation_version_is_last": true, "title": ["Microlocal analysis of partial differential operators with irregular singularities"], "weko_shared_id": null}