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Inverse Problems, Trace Formulae for Discrete Schrödinger Operators
http://hdl.handle.net/2241/117054
http://hdl.handle.net/2241/1170548e3a0c56-3ef2-49f1-a747-f3252a9a1e5a
名前 / ファイル | ライセンス | アクション |
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AHP_13-4.pdf (240.9 kB)
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Item type | Journal Article(1) | |||||
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公開日 | 2012-05-25 | |||||
タイトル | ||||||
タイトル | Inverse Problems, Trace Formulae for Discrete Schrödinger Operators | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Isozaki, Hiroshi
× Isozaki, Hiroshi× Korotyaev, Evgeny |
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著者別名 |
磯崎, 洋
× 磯崎, 洋 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We study discrete Schrödinger operators with compactly supported potentials on Z d . Constructing spectral representations and representing S-matrices by the generalized eigenfunctions, we show that the potential is uniquely reconstructed from the S-matrix of all energies. We also study the spectral shift function ξ(λ) for the trace class potentials, and estimate the discrete spectrum in terms of the moments of ξ(λ) and the potential. | |||||
書誌情報 |
Annales Henri Poincaré 巻 13, 号 4, p. 751-788, 発行日 2012-05 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1424-0637 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11442389 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1007/s00023-011-0141-0 | |||||
権利 | ||||||
権利情報 | © 2011 Springer Basel AG The original publication is available at www.springerlink.com | |||||
著者版フラグ | ||||||
値 | author | |||||
出版者 | ||||||
出版者 | Springer Basel AG | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2241/117054 | |||||
識別子タイプ | HDL |