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Exponential product approximation to the integral kernel of the Schrödinger semigroup and to the heat kernel of the Dirichlet Laplacian
https://doi.org/10.24517/00011082
https://doi.org/10.24517/00011082ba75ac14-4142-46ab-8730-d5300d2f99f0
名前 / ファイル | ライセンス | アクション |
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SC-PR-ICHINOSE-T-157.pdf (248.6 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2017-11-09 | |||||
タイトル | ||||||
タイトル | Exponential product approximation to the integral kernel of the Schrödinger semigroup and to the heat kernel of the Dirichlet Laplacian | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
ID登録 | ||||||
ID登録 | 10.24517/00011082 | |||||
ID登録タイプ | JaLC | |||||
著者 |
Ichinose, Takashi
× Ichinose, Takashi× Tamura, Hideo |
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著者別表示 |
一瀬, 孝
× 一瀬, 孝 |
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提供者所属 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 金沢大学大学院自然科学研究科 | |||||
書誌情報 |
Journal fur die Reine und Angewandte Mathematik 巻 592, p. 157-188, 発行日 2006-03-24 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0075-4102 | |||||
NCID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00705941 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1515/CRELLE.2006.026 | |||||
出版者 | ||||||
出版者 | Walter de Gruyter | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We know by the studies for the last decade that the norm convergence of the exponential product formula holds true even for a class of unbounded operators. As a natural development of this recent research, we study how the product formula approximates integral kernels of Schrödinger semigroups. Our emphasis is placed on the case of singular potentials. The Dirichlet Laplacian is regarded as a special case of Schrödinger operators with singular potentials. We also discuss the approximation to the heat kernel generated by the Dirichlet Laplacian through the product formula. © Walter de Gruyter. | |||||
権利 | ||||||
権利情報 | Copyright © 2007-2008. Walter de Gruyter | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
関連URI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | http://dx.doi.org/10.1515/CRELLE.2006.026 | |||||
関連URI | ||||||
識別子タイプ | URI | |||||
関連識別子 | http://www.reference-global.com/doi/abs/10.1515/CRELLE.2006.026 |