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Geometric Analysis of Several Complex Variables and Related Topics
 
Edited by: Y. Barkatou Université de Poitiers, Futuroscope, France
S. Berhanu Temple University, Philadelphia, PA
A. Meziani Florida International University, Miami, FL
R. Meziani Ibn Tofail University, Kenitra, Morocco
N. Mir University of Rouen, Rouen, France
Geometric Analysis of Several Complex Variables and Related Topics
eBook ISBN:  978-0-8218-8229-0
Product Code:  CONM/550.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Geometric Analysis of Several Complex Variables and Related Topics
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Geometric Analysis of Several Complex Variables and Related Topics
Edited by: Y. Barkatou Université de Poitiers, Futuroscope, France
S. Berhanu Temple University, Philadelphia, PA
A. Meziani Florida International University, Miami, FL
R. Meziani Ibn Tofail University, Kenitra, Morocco
N. Mir University of Rouen, Rouen, France
eBook ISBN:  978-0-8218-8229-0
Product Code:  CONM/550.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5502011; 196 pp
    MSC: 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.

    Readership

    Graduate 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 — Chern-Moser operators and weighted jet determination problems
    • Bernhard Lamel — Jet embeddability of local automorhpism groups of real-analytic 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
    • Mei-Chi Shaw — Duality between harmonic and Bergman spaces
    • François Treves — On the solvability and hypoellipticity of complex vector fields
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5502011; 196 pp
MSC: 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.

Readership

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 — Chern-Moser operators and weighted jet determination problems
  • Bernhard Lamel — Jet embeddability of local automorhpism groups of real-analytic 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
  • Mei-Chi Shaw — Duality between harmonic and Bergman spaces
  • François Treves — On the solvability and hypoellipticity of complex vector fields
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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