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By this characterization, we investigate some examples on GL(4, R). We obtain the dimensions of the generalized Whittaker models and give their basis in terms of hypergeometric functions of one and two variables. We show the multiplicity one of the generalized Whittaker models by using the theory of hypergeometric functions.", "subitem_description_type": "Abstract"}]}, "item_7_dissertation_number_26": {"attribute_name": "\u5b66\u4f4d\u6388\u4e0e\u756a\u53f7", "attribute_value_mlt": [{"subitem_dissertationnumber": "\u7532\u7b2c24985\u53f7"}]}, "item_7_full_name_3": {"attribute_name": "\u8457\u8005\u5225\u540d", "attribute_value_mlt": [{"nameIdentifiers": [{"nameIdentifier": "9295", "nameIdentifierScheme": "WEKO"}], "names": [{"name": "Hiroe, Kazuki"}]}]}, "item_7_identifier_registration": {"attribute_name": "ID\u767b\u9332", "attribute_value_mlt": [{"subitem_identifier_reg_text": "10.15083/00004016", "subitem_identifier_reg_type": "JaLC"}]}, "item_7_select_21": {"attribute_name": "\u5b66\u4f4d", "attribute_value_mlt": [{"subitem_select_item": "doctoral"}]}, "item_7_subject_13": {"attribute_name": "\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5", "attribute_value_mlt": [{"subitem_subject": "410", "subitem_subject_scheme": "NDC"}]}, "item_7_text_22": {"attribute_name": "\u5b66\u4f4d\u5206\u91ce", "attribute_value_mlt": [{"subitem_text_value": "Mathematical Sciences (\u6570\u7406\u79d1\u5b66)"}]}, "item_7_text_24": {"attribute_name": "\u7814\u7a76\u79d1\u30fb\u5c02\u653b", "attribute_value_mlt": [{"subitem_text_value": "Graduate School of Mathematical Sciences (\u6570\u7406\u79d1\u5b66\u7814\u7a76\u79d1)"}]}, "item_7_text_27": {"attribute_name": "\u5b66\u4f4d\u8a18\u756a\u53f7", "attribute_value_mlt": [{"subitem_text_value": "\u535a\u6570\u7406\u7b2c340\u53f7"}]}, "item_7_text_36": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_text_value": "Thesis"}]}, "item_7_text_4": {"attribute_name": "\u8457\u8005\u6240\u5c5e", "attribute_value_mlt": [{"subitem_text_value": "\u6771\u4eac\u5927\u5b66\u5927\u5b66\u9662\u6570\u7406\u79d1\u5b66\u7814\u7a76\u79d1"}, {"subitem_text_value": "Graduate School of Mathematical Sciences, The University of Tokyo"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "\u5ee3\u60e0, \u4e00\u5e0c"}], "nameIdentifiers": [{"nameIdentifier": "9294", "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": "2017-06-01"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "HiroeK_21_3_PhD_a.pdf", "filesize": [{"value": "4.7 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 4700000.0, "url": {"label": "HiroeK_21_3_PhD_a.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/4025/files/HiroeK_21_3_PhD_a.pdf"}, "version_id": "0f5dfae3-21fa-44c8-960f-a3170ae16f67"}, {"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2017-06-01"}], "displaytype": "detail", "download_preview_message": "", "file_order": 1, "filename": "HiroeK_21_3_PhD_b.pdf", "filesize": [{"value": "230.0 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 230000.0, "url": {"label": "HiroeK_21_3_PhD_b.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/4025/files/HiroeK_21_3_PhD_b.pdf"}, "version_id": "13aefa9b-7a1e-43d8-a28a-cda4f9d7cbd0"}]}, "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": "thesis", "resourceuri": "http://purl.org/coar/resource_type/c_46ec"}]}, "item_title": "Generalized Whittaker functions for degenerate principal series of GL(4, R)", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Generalized Whittaker functions for degenerate principal series of GL(4, R)"}]}, "item_type_id": "7", "owner": "1", "path": ["312/391", "9/233/280"], "permalink_uri": "https://doi.org/10.15083/00004016", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2012-10-23"}, "publish_date": "2012-10-23", "publish_status": "0", "recid": "4025", "relation": {}, "relation_version_is_last": true, "title": ["Generalized Whittaker functions for degenerate principal series of GL(4, R)"], "weko_shared_id": null}