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Scattering theory and an index theorem on the radial part of SL(2,ℝ)
http://hdl.handle.net/2237/0002011279
http://hdl.handle.net/2237/0002011279e4fa8254-d397-416b-bd05-7ab8123890a5
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
Radial_SL2R_revised.pdf (456 KB)
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| アイテムタイプ | itemtype_ver1(1) | |||||||||
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| 公開日 | 2024-07-08 | |||||||||
| タイトル | ||||||||||
| タイトル | Scattering theory and an index theorem on the radial part of SL(2,ℝ) | |||||||||
| 言語 | en | |||||||||
| 著者 |
Inoue, H.
× Inoue, H.
× Richard, Serge
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| アクセス権 | ||||||||||
| アクセス権 | open access | |||||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||
| 権利 | ||||||||||
| 権利情報 | Electronic version of an article published as [Journal of Topology and Analysis, Vol.17, No.05, 2025, pp.1445-1479] [https://doi.org/10.1142/S179352532450002X] © [copyright World Scientific Publishing Company] [https://www.worldscientific.com/worldscinet/jta] | |||||||||
| 言語 | en | |||||||||
| 内容記述 | ||||||||||
| 内容記述タイプ | Abstract | |||||||||
| 内容記述 | We present the spectral and scattering theory of the Casimir operator acting on radial functions in L2(SL(2,R)). After a suitable decomposition, these investigations consist in studying a family of differential operators acting on the half-line. For these operators, explicit expressions can be found for the resolvent, for the spectral density, and for the Møller wave operators, in terms of the Gauss hypergeometric function. An index theorem is also introduced and discussed. The resulting equality, generically called Levinson’s theorem, links various asymptotic behaviors of the hypergeometric function. This work is a first attempt to connect group theory, special functions, scattering theory, C∗-algebras, and Levinson’s theorem. | |||||||||
| 言語 | en | |||||||||
| 内容記述 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | Online Ready (Published: 17 February 2024) | |||||||||
| 言語 | en | |||||||||
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| 出版者 | World Scientific | |||||||||
| 言語 | en | |||||||||
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| 言語 | eng | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||||||
| タイプ | journal article | |||||||||
| 出版タイプ | ||||||||||
| 出版タイプ | AM | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||||
| 関連情報 | ||||||||||
| 関連タイプ | isVersionOf | |||||||||
| 識別子タイプ | DOI | |||||||||
| 関連識別子 | https://doi.org/10.1142/S179352532450002X | |||||||||
| 収録物識別子 | ||||||||||
| 収録物識別子タイプ | PISSN | |||||||||
| 収録物識別子 | 1793-5253 | |||||||||
| 書誌情報 |
en : Journal of Topology and Analysis 巻 17, 号 5, p. 1445-1479, 発行日 2025-10 |
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| ファイル公開日 | ||||||||||
| 日付 | 2025-02-17 | |||||||||
| 日付タイプ | Available | |||||||||
