Title: The Cauchy-Riemann complex
Description: 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.
Subjects: Représentations intégrales, Cauchy-Riemann equations, Neumann, Problème de, Probleem van Cauchy, Cauchy-Riemannscher Komplex, Riemann-integralen, Integral representations, Neumann problem, Fonctions de plusieurs variables complexes, Functions of several complex variables, Cauchy-Riemann, Équations de, Algebraic number theory, Differential equations, partial, Partial Differential equations, Mathematics, Global analysis (Mathematics), Analysis