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E-raamat: Geometric Analysis of Several Complex Variables and Related Topics

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  • Formaat: 196 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 11-Jan-2011
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9780821882290
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  • Formaat: 196 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 11-Jan-2011
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9780821882290
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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 presenting 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.
Preface vii
Analytic Vectors in Locally Integrable Structures
1(14)
Rafael F. Barostichi
Paulo D. Cordaro
Gerson Petronilho
Subellipticity and Maximal Hypoellipticity for Two Complex Vector Fields in (2 + 2)-Variables
15(42)
Makhlouf Derridj
Bernard Helffer
Existence of Trace for Solutions of Locally Integrable Systems of Vector Fields
57(18)
J. Hounie
E. R. da Silva
Chern-Moser Operators and Weighted Jet Determination Problems
75(14)
Martin Kolar
Francine Meylan
Jet Embeddability of Local Automorphism Groups of Real-Analytic CR Manifolds
89(20)
Bernhard Lamel
Splitting of Holomorphic Cocycles with Estimates: Several Variables
109(30)
Jurgen Leiterer
A Gysin Sequence for Manifolds with R-action
139(16)
Gerardo A. Mendoza
A Potential Theoretic Characterization of Compactness of the ∂-Neumann Problem
155(6)
Sonmez Sahutoglu
Duality between Harmonic and Bergman Spaces
161(12)
Mei-Chi Shaw
On the Solvability and Hypoellipticity of Complex Vector Fields
173
Francois Treves