This volume contains the Proceedings of the International Workshop Complex Analysis , which was held from February 12-16, 1990, in Wuppertal (Germany) in honour of H. Grauert, one of the most creative mathematicians in Complex Analysis of this century. In complete accordance with the width of the work of Grauert the book contains research notes and longer articles of many important mathematicians from all areas of Complex Analysis (Altogether there a re 49 articles in the volume). Some of the main subjects are: Cau chy-Riemann Equations with estimates, q-convexity, CR structures, deformation theory, envelopes of holomorphy, function algebras, complex group actions, Hodge theory, instantons, K?hler geometry, Lefschetz theorems, holomorphic mappings, Nevanlinna theory, com plex singularities, twistor theory, uniformization.Smooth Proper Modifications of Compact K?hler Manifolds.- Lp-Estimates for ?? in C.- Canonical Resolutions in Sheaves on Schubert and Brieskorn Varieties.- La forme hermitienne canonique pour une singularit? presque isol?e.- A Generalized Cousin Problem for Subvarieties of the Bidisk.- Scalar Curvature and Twistor Geometry.- Some Remarks on Weighted Estimates for ??.- Circular Models and Normal Forms for Convex Domains.- Lp-Estimates with Loss for the Bergman-Projection and the Canonical Solution to ??.- Distortion Function and the Heat Kernel of a Positive Line Bundle.- Twistor Spaces and Non-hyperbolicity of Certain Symplectic K?hler Manifolds.- Envelopes of Holomorphy of Domains in Cn.- Representing Measures in the Spectrum of H? (?).- Estim?es Ck, ? pour lequation ?? = f dans les convexes.- Local Hyperconvexity and Local Hyperconcavity.- Domaines ? estimation maximale.- Deformation of Compact Rieman Surfaces with Distinguished Points.- Local Extension of Holomorphic L2-Functions with Weights.- On the Boundary Behavior of the Caratheodory and Kobayashi Distances in Strongly Pseudoconvex Domains in Cn.- Zur Klassifikation der 1-konvexen komplexelƒ<