A number of monographs of various aspects of complex analysis in several variables have appeared since the first version of this book was published, but none of them uses the analytic techniques based on the solution of the Neumann Problem as the main tool.
The additions made in this third, revised edition place additional stress on results where these methods are particularly important. Thus, a section has been added presenting Ehrenpreis' ``fundamental principle'' in full. The local arguments in this section are closely related to the proof of the coherence of the sheaf of germs of functions vanishing on an analytic set. Also added is a discussion of the theorem of Siu on the Lelong numbers of plurisubharmonic functions. Since the L<SUP>2</SUP> techniques are essential in the proof and plurisubharmonic functions play such an important role in this book, it seems natural to discuss their main singularities.
發表於2024-12-22
An Introduction to Complex Analysis in Several Variables 2024 pdf epub mobi 電子書 下載
圖書標籤: 多復變函數 數學 L.Hormander 多復變 分析 復變函數 想啃的 復分析7
就是沒有習題
評分就是沒有習題
評分從微分方程角度來思考多復分析。紐曼問題和常係數偏微分方程:cousin問題就是已知邊界條件的方程問題。替代解析空間用Banach 代數。非齊次黎曼柯西方程的解是柯西積分公式。亞調和函數, Hartogs Oka 。 Stein manifolds 可被嵌入在高維復嚮量空間其上的凝聚分析層依賴於柯西黎曼方程和局部理論 。流形的復結構可以從黎曼柯西方程給定積分條件。
評分從微分方程角度來思考多復分析。紐曼問題和常係數偏微分方程:cousin問題就是已知邊界條件的方程問題。替代解析空間用Banach 代數。非齊次黎曼柯西方程的解是柯西積分公式。亞調和函數, Hartogs Oka 。 Stein manifolds 可被嵌入在高維復嚮量空間其上的凝聚分析層依賴於柯西黎曼方程和局部理論 。流形的復結構可以從黎曼柯西方程給定積分條件。
評分就是沒有習題
An Introduction to Complex Analysis in Several Variables 2024 pdf epub mobi 電子書 下載