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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 蕭欽玉(Chin-Yu Hsiao) | |
| dc.contributor.author | Yu-Chi Hou | en |
| dc.contributor.author | 侯侑期 | zh_TW |
| dc.date.accessioned | 2022-11-23T08:56:35Z | - |
| dc.date.available | 2022-02-21 | |
| dc.date.available | 2022-11-23T08:56:35Z | - |
| dc.date.copyright | 2022-02-21 | |
| dc.date.issued | 2022 | |
| dc.date.submitted | 2022-02-07 | |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/79245 | - |
| dc.description.abstract | 在此論文中，我們給出了一個新的方法證明在局部譜間隙的條件下，任何複流形上全純線叢的柏格曼核在正曲率的點附近都存在逐點展開。主要的關鍵是引入適當的半古典象徵空間與其象徵運算。特別地，對於某些帶有半正定度量的全純線叢，我們證明了其柏格曼核在正曲率的點的逐點展開存在。 | zh_TW |
| dc.description.provenance | Made available in DSpace on 2022-11-23T08:56:35Z (GMT). No. of bitstreams: 1 U0001-1801202211441600.pdf: 5406389 bytes, checksum: 719dc11da53bcf2ae99df56c4d8c6a60 (MD5) Previous issue date: 2022 | en |
| dc.description.tableofcontents | 謝辭 ii 中文摘要 iii Abstract iv Chapter I. Introduction 1 I.1. Statement of Main Results and Applications 4 Chapter II. Preliminaries on ∂ ̄-Harmonic Forms and Bergman Kernel 11 II.1. Some Standard Notations 11 II.2. Hermitian Metrics 12 II.3. Differential Operators and Curvatures 14 II.4. Gaffney Extension of Kodaira Laplacian 16 II.5. Bergman Kernel 19 Chapter III. Asymptotic Expansion of Bergman Kernel 23 III.1. Notations and Set-Up 23 III.2. Approximate Bergman Kernel and Semi-Classical L2-Estimates 26 III.3. Symbolic Calculus and Asymptotic Sum 33 III.4. Asymptotic Expansion of Approximate Kernel 40 III.5. Localization of Global Bergman Kernel 50 Bibliography 59 | |
| dc.language.iso | en | |
| dc.title | 柏格曼核的漸進 | zh_TW |
| dc.title | Asymptotic of Bergman Kernel | en |
| dc.date.schoolyear | 110-1 | |
| dc.description.degree | 碩士 | |
| dc.contributor.author-orcid | 0000-0002-7919-1692 | |
| dc.contributor.oralexamcommittee | 王金龍(Chih-Hsien Lai),林學庸(Hui-Hsin Hsiao),(HSIANG-CHIEH LEE) | |
| dc.subject.keyword | 複幾何,半古典分析,複分析,柏格曼核,譜間隙,象徵空間, | zh_TW |
| dc.subject.keyword | Complex Geometry,Semi-Classical Analysis,Complex Analysis,Bergman Kernel,Spectral Gap,Symbol Space, | en |
| dc.relation.page | 61 | |
| dc.identifier.doi | 10.6342/NTU202200088 | |
| dc.rights.note | 同意授權(全球公開) | |
| dc.date.accepted | 2022-02-09 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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