**Contemporary Mathematics**

Volume: 550;
2011;
196 pp;
Softcover

MSC: Primary 32; 35;

Print ISBN: 978-0-8218-5257-6

Product Code: CONM/550

List Price: $73.00

Individual Member Price: $58.40

**Electronic ISBN: 978-0-8218-8229-0
Product Code: CONM/550.E**

List Price: $73.00

Individual Member Price: $58.40

# Geometric Analysis of Several Complex Variables and Related Topics

Share this page *Edited by *
*Y. Barkatou; S. Berhanu; A. Meziani; R. Meziani; N. Mir*

This volume contains the proceedings of the Workshop on Geometric Analysis of Several Complex Variables and Related Topics, which was held from May 10–14, 2010, in Marrakesh, Morocco.

The articles in this volume present current research and future trends in the theory of several complex variables and PDE. Of note are two survey articles: The first presents recent results on the solvability of complex vector fields with critical points while the second concerns the Lie group structure of the automorphism groups of CR manifolds. The other articles feature original research in major topics of analysis dealing with analytic and Gevrey regularity, existence of distributional traces, the \(\bar\partial\)-Neumann operator, automorphisms of hypersurfaces, holomorphic vector bundles, spaces of harmonic forms, and Gysin sequences.

#### Table of Contents

# Table of Contents

## Geometric Analysis of Several Complex Variables and Related Topics

- Contents v6 free
- Preface vii8 free
- Analytic Vectors in Locally Integrable Structures 110 free
- Subellipticity and Maximal Hypoellipticity for Two Complex Vector Fields in (2 + 2)-Variables 1524
- Existence of Trace for Solutions of Locally Integrable Systems of Vector Fields 5766
- Chern-Moser Operators and Weighted Jet Determination Problems 7584
- Jet Embeddability of Local Automorphism Groups of Real-Analytic CR Manifolds 8998
- Splitting of Holomorphic Cocycles with Estimates: Several Variables 109118
- A Gysin Sequence for Manifolds with R-action 139148
- A Potential Theoretic Characterization of Compactness of the ∂-Neumann Problem 155164
- Duality between Harmonic and Bergman Spaces 161170
- On the Solvability and Hypoellipticity of Complex Vector Fields 173182
- 1. Generalities about Differential Operators of Principal Type 173182
- 2. Local Solvability of Smooth Vector Fields 175184
- 3. Complex Vector Fields in Two Dimensions 181190
- 4. Complex Vector Fields Hypoelliptic off their Critical Points 185194
- 5. Quasi-Elliptic Vector Fields 188197
- 6. Problems and Possible Directions of Further Research 195204
- References 195204

#### Readership

Graduate students and research mathematicians interested in several complex variables, PDE, and CR geometry.