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INVERSE SPECTRAL THEORY
http://hdl.handle.net/2241/106046
http://hdl.handle.net/2241/106046f76aa0eb-7582-4eb4-969f-6bddc408fe78
名前 / ファイル | ライセンス | アクション |
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IST(Book).pdf (275.2 kB)
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Item type | Book(1) | |||||
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公開日 | 2010-08-17 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | INVERSE SPECTRAL THEORY | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_2f33 | |||||
タイプ | book | |||||
言語 | ||||||
言語 | eng | |||||
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 | |||||
著者 |
磯崎, 洋
× 磯崎, 洋 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Many self-adjoint operators appearing in mathematical physics and geometry have their spectral data: eigenvalues, informations of eigenvectors, scattering matrices. A natural attempt is the reconstruction of the original operator in terms of its spectral data. The precursor of this inverse spectral problem goes back at least to the Sturm–Liouville theory of differential operators. The systematic study of inverse spectral problems has become active from early 20th century, and the interest on this subject is unceasingly growing up since then. The aim of this article is to give a brief survey of the inverse spectral problem for self-adjoint differential operators: boundary value problems and scattering problems for Schrödinger opeartors, Laplace–Beltrami operators on Riemannian manifolds. Both of the 1-dimensional and the multi-dimensional problems are discussed. There is so extensive literature on the inverse problem that our arguments must be restricted to limited aspects of the subject. The basic feature I would like to stress is: One-dimensional spectral problems are smoothly deformable like C∞-functions, while multi-dimensional problems are rigid like analytic functions (at least in Euclidean spaces). |
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言語 | en | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | edited by Huzihiro Araki& Hiroshi Ezawa | |||||
言語 | en | |||||
書誌情報 |
en : TOPICS IN THE THEORY OF SCHRÖDINGER OPERATORS p. 93-143, 発行日 2004-05 |
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書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | BA67780158 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1142/9789812562470 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | © 2004 by World Scientific Publishing | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | World Scientific | |||||
関連情報 | ||||||
識別子タイプ | ISBN | |||||
関連識別子 | 9812387978 |