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Analysis and geometry in several complex variables / [edited by] Shiferaw Berhanu, Nordine Mir and Emil J. Straube.

By: Contributor(s): Material type: TextTextSeries: Contemporary mathematics ; 681.Publication details: Providence : American Mathematical Society, ©2017.Description: vii, 184 pages : illustrations ; 26 cmISBN:
  • 9781470422554 (alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512c
Contents:
Real and complex Brunn-Minkowski theory / Bo Berndtsson -- Properties of solutions of a class of hypocomplex vector fields / C. Campana, P.L. Dattori Da Silva and A. Meziani -- Analysis on the intersection of pseudoconvex domains / Mehmet Celik and Yunus E. Zeytuncu -- Distributional boundary values: some new perspectives / Debraj Chakrabarti and Rasul Shafikov -- Infinitesimal and local rigidity of mappings of CR manifolds / Giuseppe Della Sala, Bernhard Lamel and Michael Reiter -- On some systems of real or complex vector fields and their related Laplacians / Makhlouf Derridj -- On the HJY gap conjecture in CR geometry vs. the SOS conjecture for polynomials / Peter Ebenfelt -- Lower-dimensional Fefferman measures via the Bergman kernel / Purvi Gupta -- Normal forms in Cauchy-Riemann geometry / Martin Kolar, Ilya Kossovskiy and Dmitri Zaitsev -- Bergman kernel asymptotics through perturbation / Shoo Seto.
Summary: Contains the proceedings of the workshop on Analysis and Geometry in Several Complex Variables, held from January 4-8, 2015. This volume covers many topics of current interest in several complex variables, CR geometry, and the related area of overdetermined systems of complex vector fields, as well as emerging trends in these areas.
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Includes bibliographical references.

Real and complex Brunn-Minkowski theory / Bo Berndtsson --
Properties of solutions of a class of hypocomplex vector fields / C. Campana, P.L. Dattori Da Silva and A. Meziani --
Analysis on the intersection of pseudoconvex domains / Mehmet Celik and Yunus E. Zeytuncu --
Distributional boundary values: some new perspectives / Debraj Chakrabarti and Rasul Shafikov --
Infinitesimal and local rigidity of mappings of CR manifolds / Giuseppe Della Sala, Bernhard Lamel and Michael Reiter --
On some systems of real or complex vector fields and their related Laplacians / Makhlouf Derridj --
On the HJY gap conjecture in CR geometry vs. the SOS conjecture for polynomials / Peter Ebenfelt --
Lower-dimensional Fefferman measures via the Bergman kernel / Purvi Gupta --
Normal forms in Cauchy-Riemann geometry / Martin Kolar, Ilya Kossovskiy and Dmitri Zaitsev --
Bergman kernel asymptotics through perturbation / Shoo Seto.

Contains the proceedings of the workshop on Analysis and Geometry in Several Complex Variables, held from January 4-8, 2015. This volume covers many topics of current interest in several complex variables, CR geometry, and the related area of overdetermined systems of complex vector fields, as well as emerging trends in these areas.

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