Several complex variables and CR geometry

On Some Problems in Several Complex Variables and Cr Geometry

0. Introduction. Geometric analysis in several complex variables and Cauchy Riemann geometry has been a quite active subject in pure and applied mathematics for decades. The classical work of Poincaré, Hartogs, Levi, E. Cartan, etc at the beginning of the century laid down part of the frame work of such a study. Since then, more and more attention has be paid to this field, as people discover i...

Pseudo-Conformal Geometry of Polygenic Functions of Several Complex Variables.

Complex Dynamics in Several Variables

1. Motivation 117 2. Iteration of Maps 118 3. Regular Versus Chaotic Behavior 119 4. The Horseshoe Map and Symbolic Dynamics 120 5. Hénon Maps 123 6. Properties of Horseshoe and Hénon Maps 126 7. Dynamically Defined Measures 127 8. Potential Theory 129 9. Potential Theory in One-Variable Dynamics 131 10. Potential Theory and Dynamics in Two Variables 133 11. Currents and Applications to Dynamic...

Several Complex Variables and Analytic Spaces

D’Angelo, John P. Inequalities from complex analysis. (English summary) 2003e:32001 Fritzsche, Klaus (with Grauert, Hans) From holomorphic functions to complex manifolds. (English summary) 2003g:32001 Grauert, Hans see Fritzsche, Klaus, 2003g:32001 (Nakamura, Shu Gilbert) see Ohsawa, Takeo, 2003d:32001 Ohsawa, Takeo Analysis of several complex variables. (English summary) 2003d:32001 Range, R. ...

Composition Operators and Several Complex Variables