图 书 馆
分析与几何Analysis and geometry |
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| 课程网址: | http://videolectures.net/promogram_franc_forstneric_eng/ |
| 主讲教师: | Franc Forstnerič |
| 开课单位: | 卢布尔雅那大学 |
| 开课时间: | 2013-08-14 |
| 课程语种: | 英语 |
| 中文简介: |  我们打算在13个领域进行研究并获得新结果，这些领域包括复杂分析和几何，整体分析，功能分析和几何以及谐波分析。这些区域是： 1。复杂分析和几何 2。全局分析 3。功能分析和几何 4。谐波分析 |
| 课程简介: | We intend to perform research and obtain new results in thirteen areas in complex analysis and geometry, global analysis, functional analysis and geometry, and harmonic analysis. These areas are: 1. Complex analysis and geometry - Study of nonlinear boundary value problems for quazilinear equations on finite Riemann surfaces - Construction of proper holomorphic maps from the disc whose ranges miss a given pluripolar set - Construction of regular holomorphic maps from Stein manifolds to complex manifolds - Construction of differentiable Cauchy-Riemann embeddings of strictly pseudoconvex hypersurfaces into spheres - Construction of Stein domains in non-Stein complex manifolds - Analysis of complex analytic properties of real surfaces embedded into complex surfaces - Morse theory of plurisubharmonic functions - Boundaries of analytic sets and the argument principle - H-principle for modified Stein Spaces - Analytic extensions from families of curves 2. Global analysis - Singularity structure of integrable systems 3. Functional analysis and geometry - Isometries of Banach spaces and special norms on finite-dimensional spaces 4. Harmonic analysis - Riesz transforms |
| 关 键 词: | 数学分析; 几何 |
| 课程来源: | 视频讲座网 |
| 数据采集: | 2020-10-12：zyk |
| 最后编审: | 2020-10-12：zyk |
| 阅读次数: | 83 |