| Item type |
学術雑誌論文 / Journal Article(1) |
| 公開日 |
2017-03-01 |
| タイトル |
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タイトル |
Radial Bargmann representation for the Fock space of type B |
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言語 |
en |
| 言語 |
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言語 |
eng |
| 資源タイプ |
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資源タイプ識別子 |
http://purl.org/coar/resource_type/c_6501 |
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資源タイプ |
journal article |
| 著者 |
Asai, Nobuhiro
Bożejko, Marek
Hasebe, Takahiro
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| 研究者総覧へのリンク |
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Asai, Nobuhiro |
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https://souran.aichi-edu.ac.jp/teachers/ccdaecff717209f3.html |
| 著者(別言語) |
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著者(別言語) |
淺井, 暢宏 |
| 抄録 |
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内容記述タイプ |
Abstract |
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内容記述 |
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. |
| 書誌事項 |
Journal of Mathematical Physics
巻 57,
号 2,
p. 021702,
発行日 2016-02
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| 出版者 |
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出版者 |
AIP Publishing LLC |
| ISSN |
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収録物識別子タイプ |
ISSN |
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収録物識別子 |
0022-2488 |
| 書誌情報 |
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Journal of Mathematical Physics. 2016, 57(2), 021702 |
| 書誌レコードID |
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収録物識別子タイプ |
NCID |
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収録物識別子 |
AA00701758 |
| 権利 |
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権利情報 |
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. |
| 著者版フラグ |
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出版タイプ |
VoR |
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出版タイプResource |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| 関係URI |
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識別子タイプ |
DOI |
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関連識別子 |
http://dx.doi.org/10.1063/1.4939748 |
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関連名称 |
http://dx.doi.org/10.1063/1.4939748 |
| DOI |
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関連タイプ |
isIdenticalTo |
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|
識別子タイプ |
DOI |
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関連識別子 |
info:doi/10.1063/1.4939748 |
| 著者別名 |
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著者別名 |
アサイ, ノブヒロ |
| 著者別名 |
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著者別名 |
ハセベ, タカヒロ |
| 資源タイプ |
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内容記述タイプ |
Other |
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内容記述 |
text |
asain001.pdf (289.4 kB)
