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Toric Resolution of Singularities in a Certain Class of C∞ Functions and Asymptotic Analysis of Oscillatory Integrals
http://hdl.handle.net/2261/72175
http://hdl.handle.net/2261/72175597ba6f5-7387-4802-a6fa-45a9cb13505a
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms230203.pdf (338.1 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2017-04-13 | |||||
| タイトル | ||||||
| タイトル | Toric Resolution of Singularities in a Certain Class of C∞ Functions and Asymptotic Analysis of Oscillatory Integrals | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Oscillatory integrals | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | oscillation index and its multiplicity | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | local zeta function | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | toric resolution | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | the classes εˆ[P](U) and εˆ(U) | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | asymptotic expansion | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Newton polyhedra | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Kamimoto, Joe
× Kamimoto, Joe× Nose, Toshihiro |
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| 著者所属 | ||||||
| 著者所属 | Faculty of Mathematics, Kyushu University | |||||
| 著者所属 | ||||||
| 著者所属 | Faculty of Engineering, Kyushu Sangyo University | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | In a seminal work of A. N. Varchenko, the behavior at infinity of oscillatory integrals with real analytic phase is precisely investigated by using the theory of toric varieties based on the geometry of the Newton polyhedron of the phase. The purpose of this paper is to generalize his results to the case that the phase is contained in a certain class of C∞ functions. The key in our analysis is a toric resolution of singularities in the above class of C∞ functions. The properties of poles of local zeta functions, which are closely related to the behavior of oscillatory integrals, are also studied under the associated situation. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 23, 号 2, p. 425-485, 発行日 2016-02-25 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR | ||||||
| Mathmatical Subject Classification | ||||||
| 58K55(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 14M25(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 42B20(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2014-01-23 | ||||||
