The Cauchy-Riemann Complex
Integral Formulae and Neumann Problem
Buch in deiner Nähe kaufen
Beschreibung
The method of integral representations is developed in order to establish 1. classical fundamental results of complex analysis both elementary and advanced, 2. subtle existence and regularity theorems for the Cauchy-Riemann equations on complex manifolds. These results are then applied to important function theoretic questions. The book can be used for advanced courses and seminars at the graduate level; it contains to a large extent material which has not yet been covered in text books.
Integrale Darstellungen von Funktionen und Differentialformen sind ein wichtiges Werkzeug, um quantitative Resultate für holomorphe Funktionen auf komplexen Mannigfaltigkeiten zu entwickeln. Dieses Buch ist eine Monographie zu einem Spezialgebiet der komplexen Analysis.
Advanced Methods of Complex Analysis Applied to Classical and New Problems
Autor*in
Ingo Lieb
Themen in »The Cauchy-Riemann Complex«
Applications Bochner-Martinelli formula Hodge theory Komplexe Analysis Manifold Neumann problem calculus equation function theorem partial differential equations