{"created":"2023-06-20T14:25:03.114132+00:00","id":5971,"links":{},"metadata":{"_buckets":{"deposit":"ee28b949-5a69-4e25-bedf-c6f7deb657cf"},"_deposit":{"created_by":3,"id":"5971","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"5971"},"status":"published"},"_oai":{"id":"oai:aue.repo.nii.ac.jp:00005971","sets":["724:726"]},"author_link":["5065","242","5064"],"item_4_biblio_info_7":{"attribute_name":"書誌事項","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016-02","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageStart":"021702","bibliographicVolumeNumber":"57","bibliographic_titles":[{"bibliographic_title":"Journal of Mathematical Physics"}]}]},"item_4_description_27":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"text","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let ν<_α,_q >be the probability and orthogonality measure for the q-Meixner-Pollaczek orthogonal polynomials, which has appeared in the work of Bożejko, Ejsmont, and Hasebe [J. Funct. Anal. 269, 1769–1795 (2015)] as the distribution of the (α,q)-Gaussian process (the Gaussian process of type B) over the (α,q)-Fock space (the Fock space of type B). The main purpose of this paper is to find the radial Bargmann representation of ν<_α,_q>. Our main results cover not only the representation of q-Gaussian distribution by van Leeuwen and Maassen [J. Math. Phys. 36, 4743–4756 (1995)] but also of q^2-Gaussian and symmetric free Meixner distributions on R. In addition, non-trivial commutation relations satisfied by (α,q)-operators are presented.","subitem_description_type":"Abstract"}]},"item_4_link_3":{"attribute_name":"研究者総覧へのリンク","attribute_value_mlt":[{"subitem_link_text":"Asai, Nobuhiro","subitem_link_url":"https://souran.aichi-edu.ac.jp/teachers/ccdaecff717209f3.html"}]},"item_4_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"AIP Publishing LLC"}]},"item_4_relation_16":{"attribute_name":"関係URI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"http://dx.doi.org/10.1063/1.4939748"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"http://dx.doi.org/10.1063/1.4939748","subitem_relation_type_select":"DOI"}}]},"item_4_relation_18":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isIdenticalTo","subitem_relation_type_id":{"subitem_relation_type_id_text":"info:doi/10.1063/1.4939748","subitem_relation_type_select":"DOI"}}]},"item_4_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"Copyright 2016 AIP Publishing LLC. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared in Journal of Mathematical Physics. 2016, 57(2), 021702 and may be found at http://dx.doi.org/10.1063/1.4939748."}]},"item_4_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00701758","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0022-2488","subitem_source_identifier_type":"ISSN"}]},"item_4_text_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"subitem_text_value":"Journal of Mathematical Physics. 2016, 57(2), 021702"}]},"item_4_text_26":{"attribute_name":"著者別名","attribute_value_mlt":[{"subitem_text_value":"アサイ, ノブヒロ"},{"subitem_text_value":"ハセベ, タカヒロ"}]},"item_4_text_4":{"attribute_name":"著者(別言語)","attribute_value_mlt":[{"subitem_text_value":"淺井, 暢宏"}]},"item_4_version_type_14":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Asai, Nobuhiro"}],"nameIdentifiers":[{},{},{}]},{"creatorNames":[{"creatorName":"Bożejko, Marek"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Hasebe, Takahiro"}],"nameIdentifiers":[{},{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-03-29"}],"displaytype":"detail","filename":"asain001.pdf","filesize":[{"value":"289.4 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"asain001.pdf","url":"https://aue.repo.nii.ac.jp/record/5971/files/asain001.pdf"},"version_id":"f0f8849b-7fce-44d8-a62c-410695bf525a"}]},"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":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Radial Bargmann representation for the Fock space of type B","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Radial Bargmann representation for the Fock space of type B","subitem_title_language":"en"}]},"item_type_id":"4","owner":"3","path":["726"],"pubdate":{"attribute_name":"公開日","attribute_value":"2017-03-01"},"publish_date":"2017-03-01","publish_status":"0","recid":"5971","relation_version_is_last":true,"title":["Radial Bargmann representation for the Fock space of type B"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-06-20T15:58:19.514456+00:00"}