Softcover ISBN:  9780821852576 
Product Code:  CONM/550 
196 pp 
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AMS Member Price:  $62.40 
Electronic ISBN:  9780821882290 
Product Code:  CONM/550.E 
196 pp 
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Book DetailsContemporary MathematicsVolume: 550; 2011MSC: Primary 32; 35;
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.ReadershipGraduate students and research mathematicians interested in several complex variables, PDE, and CR geometry.

Table of Contents

Articles

Rafael F. Barostichi, Paulo D. Cordaro and Gerson Petronilho  Analytic vectors in locally integrable structures

Makhlouf Derridj and Bernard Helffer  Subellipticity and maximal hypoellipticity for two complex vector fields in $(2+2)$variables

J. Hounie and E. R. da Silva  Existence of trace for solutions of locally integrable systems of vector fields

Martin Kolář and Francine Meylan  ChernMoser operators and weighted jet determination problems

Bernhard Lamel  Jet embeddability of local automorhpism groups of realanalytic CR manifolds

Jürgen Leiterer  Splitting of holomorphic cocycles with estimates. Several variables

Gerardo A. Mendoza  A Gysin sequence for manifolds with $\mathbb {R}$action

Sönmez Şahutoğlu  A potential theoretic characterization of compactness of the $\overline {\partial }$Neumann problem

MeiChi Shaw  Duality between harmonic and Bergman spaces

François Treves  On the solvability and hypoellipticity of complex vector fields


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

Articles

Rafael F. Barostichi, Paulo D. Cordaro and Gerson Petronilho  Analytic vectors in locally integrable structures

Makhlouf Derridj and Bernard Helffer  Subellipticity and maximal hypoellipticity for two complex vector fields in $(2+2)$variables

J. Hounie and E. R. da Silva  Existence of trace for solutions of locally integrable systems of vector fields

Martin Kolář and Francine Meylan  ChernMoser operators and weighted jet determination problems

Bernhard Lamel  Jet embeddability of local automorhpism groups of realanalytic CR manifolds

Jürgen Leiterer  Splitting of holomorphic cocycles with estimates. Several variables

Gerardo A. Mendoza  A Gysin sequence for manifolds with $\mathbb {R}$action

Sönmez Şahutoğlu  A potential theoretic characterization of compactness of the $\overline {\partial }$Neumann problem

MeiChi Shaw  Duality between harmonic and Bergman spaces

François Treves  On the solvability and hypoellipticity of complex vector fields