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Complex Analysis

  • Conference proceedings
  • © 2010

Overview

Authors:
  1. Peter Ebenfelt

    1. Department of Mathematics, University of California, San Diego (UCSD), La Jolla, USA

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  2. Norbert Hungerbühler

    1. Department of Mathematics, University of Fribourg, Fribourg, Switzerland

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  3. Joseph J. Kohn

    1. Department of Mathematics, Princeton, USA

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  4. Ngaiming Mok

    1. Department of Mathematics, The University of Hong Kong, Hong Kong SAR, China

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  5. Emil J. Straube

    1. Department of Mathematics, Texas A&M University, College Station, USA

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  • Articles are written in a comprehensive and accessible style by leading experts in the field
  • Emphasis on interactions of complex analysis with PDE theory and geometry
  • Includes most recent developments in the field of analysis in several complex variables
  • Includes supplementary material: sn.pub/extras

Part of the book series: Trends in Mathematics (TM)

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Table of contents (20 papers)

  1. Front Matter

    Pages i-xx
    Download chapter PDF

  2. Oblique Polar Lines of ∫ X |f|2λ|g|2μ□

    • D. Barlet, H.-M. Maire
    Pages 1-23

  3. On Involutive Systems of First-order Nonlinear Partial Differential Equations

    • S. Berhanu
    Pages 25-50

  4. Gevrey Hypoellipticity for an Interesting Variant of Kohn’s Operator

    • Antonio Bove, Marco Mughetti, David S. Tartakoff
    Pages 51-73

  5. Subelliptic Estimates

    • David W. Catlin, John P. D’Angelo
    Pages 75-94

  6. Invariant CR Mappings

    • John P. D’Angelo
    Pages 95-107

  7. On the Subellipticity of Some Hypoelliptic Quasihomogeneous Systems of Complex Vector Fields

    • M. Derridj, B. Helffer
    Pages 109-123

  8. Invariance of the Parametric Oka Property

    • Franc Forstnerič
    Pages 125-144

  9. Positivity of the \( \bar \partial \)-Neumann Laplacian

    • Siqi Fu
    Pages 145-158

  10. Compactness Estimates for the \( \bar \partial \)-Neumann Problem in Weighted L 2-spaces

    • Klaus Gansberger, Friedrich Haslinger
    Pages 159-174

  11. Remarks on the Homogeneous Complex Monge-Ampère Equation

    • Pengfei Guan
    Pages 175-185

  12. A Radó Theorem for Locally Solvable Structures of Co-rank One

    • J. Hounie
    Pages 187-203

  13. Applications of a Parametric Oka Principle for Liftings

    • Finnur Lárusson
    Pages 205-211

  14. Stability of the Vanishing of the \( \bar \partial _b \)-cohomoloy Under Small Horizontal Perturbations of the CR Structure in Compact Abstract q-concave CR Manifolds

    • Christine Laurent-Thiébaut
    Pages 213-225

  15. Coherent Sheaves and Cohesive Sheaves

    • László Lempert
    Pages 227-244

  16. Characteristic Classes of the Boundary of a Complex b-manifold

    • Gerardo A. Mendoza
    Pages 245-262

  17. Solvability of Planar Complex Vector Fields with Applications to Deformation of Surfaces

    • Abdelhamid Meziani
    Pages 263-278

  18. On the Zariski Closure of a Germ of Totally Geodesic Complex Submanifold on a Subvariety of a Complex Hyperbolic Space Form of Finite Volume

    • Ngaiming Mok
    Pages 279-300

  19. The Large Time Asymptotics of the Entropy

    • Lei Ni
    Pages 301-306

  20. The Closed Range Property for \( \bar \partial \) on Domains with Pseudoconcave Boundary

    • Mei-Chi Shaw
    Pages 307-320
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Keywords

About this book

This is a reference book for academics working in the fields of several complex variables, PDE theory and geometry. The book collects articles on most recent developments in these fields with special emphasis on interactions between them. It includes introductory and expository presentations of the relevant tools, techniques and objects for graduate and PhD students with a corresponding specialization. The volume comprises contributions of leading experts in the field written in a comprehensive and accessible style. Contributors: D. Barlet, S. Berhanu, A. Bove, D.W. Catlin, J.P. D’Angelo, M. Derridj, F. Forstnerič, S. Fu, K. Gansberger, P. Guan, F. Haslinger, B. Helffer, J. Hounie, N. Hungerbühler, F. Lárusson, Ch. Laurent-Thiébaut, L. Lempert, H.-M. Maire, G.A. Mendoza, A. Meziani, N. Mok, M. Mughetti L. Ni, M.-C. Shaw, D.S. Tartakoff, D. Zaitsev

Authors and Affiliations

  • Department of Mathematics, University of California, San Diego (UCSD), La Jolla, USA

    Peter Ebenfelt

  • Department of Mathematics, University of Fribourg, Fribourg, Switzerland

    Norbert Hungerbühler

  • Department of Mathematics, Princeton, USA

    Joseph J. Kohn

  • Department of Mathematics, The University of Hong Kong, Hong Kong SAR, China

    Ngaiming Mok

  • Department of Mathematics, Texas A&M University, College Station, USA

    Emil J. Straube

Bibliographic Information

  • Book Title: Complex Analysis

  • Authors: Peter Ebenfelt, Norbert Hungerbühler, Joseph J. Kohn, Ngaiming Mok, Emil J. Straube

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-0346-0009-5

  • Publisher: Birkhäuser Basel

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Birkhäuser Basel 2010

  • Hardcover ISBN: 978-3-0346-0008-8Published: 27 May 2010

  • eBook ISBN: 978-3-0346-0009-5Published: 30 January 2011

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: XX, 340

  • Topics: Functions of a Complex Variable

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