Modern Methods in Complex Analysis
eBook - PDF

Modern Methods in Complex Analysis

The Princeton Conference in Honor of Gunning and Kohn

  1. 360 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

About this book

The fifteen articles composing this volume focus on recent developments in complex analysis. Written by well-known researchers in complex analysis and related fields, they cover a wide spectrum of research using the methods of partial differential equations as well as differential and algebraic geometry. The topics include invariants of manifolds, the complex Neumann problem, complex dynamics, Ricci flows, the Abel-Radon transforms, the action of the Ricci curvature operator, locally symmetric manifolds, the maximum principle, very ampleness criterion, integrability of elliptic systems, and contact geometry. Among the contributions are survey articles, which are especially suitable for readers looking for a comprehensive, well-presented introduction to the most recent important developments in the field.


The contributors are R. Bott, M. Christ, J. P. D'Angelo, P. Eyssidieux, C. Fefferman, J. E. Fornaess, H. Grauert, R. S. Hamilton, G. M. Henkin, N. Mok, A. M. Nadel, L. Nirenberg, N. Sibony, Y.-T. Siu, F. Treves, and S. M. Webster.

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Yes, you can access Modern Methods in Complex Analysis by Thomas Bloom, David W. Catlin, John P. D'Angelo, Yum-Tong Siu, Thomas Bloom,David W. Catlin,John P. D'Angelo,Yum-Tong Siu, Thomas Bloom, David Catlin, John D'Angelo, Yum-Tong Siu in PDF and/or ePUB format, as well as other popular books in Mathematics & Complex Analysis. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. CONTENTS
  5. PREFACE
  6. LIST OF PARTICIPANTS
  7. PROGRAM OF THE CONFERENCE
  8. THE SCIENTIFIC WORK OF ROBERT C. GUNNING
  9. THE SCIENTIFIC WORK OF JOSEPH J. KOHN
  10. ON INVARIANTS OF MANIFOLDS
  11. REMARKS ON ANALYTIC HYPOELLIPTICITY OF ∂b
  12. FINITE TYPE CONDITIONS AND SUBELLIPTIC ESTIMATES
  13. CHARACTERIZATION OF CERTAIN HOLOMORPHIC GEODESIC CYCLES ON HERMITIAN LOCALLY SYMMETRIC MANIFOLDS OF THE NONCOMPACT TYPE
  14. ON KOHN’S MICROLOCALIZATION OF ∂ PROBLEMS
  15. COMPLEX DYNAMICS IN HIGHER DIMENSION. II
  16. SET THEORETICAL REAL ANALYTIC SPACES
  17. AN ISOPERIMETRIC ESTIMATE FOR THE RICCI FLOW ON THE TWO-SPHERE
  18. ISOPERIMETRIC ESTIMATES FOR THE CURVE SHRINKING FLOW IN THE PLANE
  19. THE ABEL-RADON TRANSFORM AND SEVERAL COMPLEX VARIABLES
  20. ON THE ABSENCE OF PERIODIC POINTS FOR THE RICCI CURVATURE OPERATOR ACTING ON THE SPACE OF KÄHLER METRICS
  21. THE MAXIMUM PRINCIPLE AND RELATED TOPICS
  22. VERY AMPLENESS CRITERION OF DOUBLE ADJOINTS OF AMPLE LINE BUNDLES
  23. INTEGRABILITY OF ELLIPTIC OVERDETERMINED SYSTEMS OF NONLINEAR FIRST-ORDER COMPLEX PDE
  24. THE HOLOMORPHIC CONTACT GEOMETRY OF A REAL HYPERSURFACE