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On the Singularities of Non-Analytic Szegö Kernels
http://hdl.handle.net/2261/1324
http://hdl.handle.net/2261/13249b65abe1-2faa-4199-bed0-a4533b8443d5
名前 / ファイル | ライセンス | アクション |
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jms060102.pdf (236.0 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | On the Singularities of Non-Analytic Szegö Kernels | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Szego kernel | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Bergman kernel | |||||
主題Scheme | Other | |||||
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 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | The \,\, {\it CR} \,\, manifold \,\, $ M_m=\,\, \{(z_1,z_2) \, \in \, {\mathbb C}^2 ; \,\, \Im z_2 = [\Re z_1]^{2m} \} (m=2,3,\ldots)$ is a counterexample, which was given by Christ and Geller, to analytic hypoellipticity of $\bar{\partial}_{b}$ and real analyticity of the Szego kernel. In order to give a direct interpretation for the breakdown of real analyticity of the Szego kernel, we give a Borel summation type representation of the Szego kernel in terms of simple singular solutions of the equation $\bar{\partial}_{b}u = 0$. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 6, 号 1, p. 13-39, 発行日 1999 |
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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 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR1683305 | ||||||
Mathmatical Subject Classification | ||||||
32C16(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
32F20(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
32H10(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
1998-07-17 |