Several Complex Variables

✍ Scribed by John Erik Fornaess

• Year: 1992
• Tongue: English
• Leaves: 707
• Category: Library

✦ Synopsis

There was a special year devoted to the topic of several complex variables at the Mittag-Leffler Institute in Stockholm, Sweden, and this volume contains the resulting survey papers and research papers. The work covers a broad spectrum of developments in this field. The contributors include H. Alexander; F. Almgren; E. Almar; M. Andersson; E. Bedford; J. Belanger; S. Bell; B. Berndtsson; U. Cegrell; C.H. Chang and H.P. Lee; J. Chaumat and A.M. Chollet; J. D'Angelo; J. P. Demailley; P. Dolbeault; A. Dor; F. Forstneric; B. Gaveau, M. Okada, and T. Okada; R. Greene and S. Krantz; A. Iordan; C. Laurent-Thiebaut and J. Leiterer; L. Lempert; I. Lieb and M. Range; L. Qi-King; P. Manne; A. Noell; M. Passare; J. Riihentaus; J. P. Rosay and W. Rudin; R. Saerens and W. Zame; A. Sergeev; N. Sibony; E.L. Stout; F. Treves; S. Webster; H. H. Wu; and A. Zeriahi.

✦ Table of Contents

Table of Contents......Page all_14446_to_00707.cpc0003.djvu
Introduction......Page all_14446_to_00707.cpc0005.djvu
1. Removable Sets for CR Functions......Page all_14446_to_00707.cpc0007.djvu
2. Geometric Measure Theory......Page all_14446_to_00707.cpc0014.djvu
3. \bar{\partial}_t-Equation and Nonfactorization......Page all_14446_to_00707.cpc0028.djvu
4. L^p Estimates for the \bar{\partial}-Equation......Page all_14446_to_00707.cpc0040.djvu
5. Survey of Pluri-Potential Theory......Page all_14446_to_00707.cpc0054.djvu
6. Holder Estimates for \bar{\partial} in C^2......Page all_14446_to_00707.cpc0104.djvu
7. Algebraic Mappings......Page all_14446_to_00707.cpc0132.djvu
8. Levi-Flat Surfaces with Circular Sections......Page all_14446_to_00707.cpc0142.djvu
9. Weighted Integral Formulas......Page all_14446_to_00707.cpc0166.djvu
10. Peak Sets and Representing Measures......Page all_14446_to_00707.cpc0194.djvu
11. Explicit Solutions......Page all_14446_to_00707.cpc0200.djvu
12. Noyaux pour résoudre l'équation \bar{\partial}......Page all_14446_to_00707.cpc0211.djvu
13. Proper Rational Holomorphic Maps......Page all_14446_to_00707.cpc0233.djvu
14. Holomorphic Morse Inequalities......Page all_14446_to_00707.cpc0251.djvu
15. On the Structure of Residual Currents......Page all_14446_to_00707.cpc0264.djvu
16. Properties of Smooth Proper Holomorphic Maps......Page all_14446_to_00707.cpc0280.djvu
17. Proper Holomorphic Mappings: A Survey......Page all_14446_to_00707.cpc0303.djvu
18. Explicit Heat Kernels......Page all_14446_to_00707.cpc0370.djvu
19. Techniques for Studying Automorphisms......Page all_14446_to_00707.cpc0395.djvu
20. Peak Sets in Domains......Page all_14446_to_00707.cpc0417.djvu
21. The Andreotti-Vesentini Separation Theorem......Page all_14446_to_00707.cpc0422.djvu
22. Elliptic and Hyperbolic Tubes......Page all_14446_to_00707.cpc0446.djvu
23. A Survey of the \bar{\partial}-Problem......Page all_14446_to_00707.cpc0463.djvu
24. The \bar{\partial}-Neumann Kernel......Page all_14446_to_00707.cpc0479.djvu
25. The Heat Kernel......Page all_14446_to_00707.cpc0489.djvu
26. Removable Singularities for \bar{\partial}_b......Page all_14446_to_00707.cpc0513.djvu
27. Carleman Approximation......Page all_14446_to_00707.cpc0525.djvu
28. Peak Functions for Pseudoconvex Domains......Page all_14446_to_00707.cpc0535.djvu
29. Support of Residue Currents......Page all_14446_to_00707.cpc0548.djvu
30. Nullsets for BMO Functions......Page all_14446_to_00707.cpc0556.djvu
31. Holomorphic Embeddings......Page all_14446_to_00707.cpc0569.djvu
32. Local Automorphism Group......Page all_14446_to_00707.cpc0576.djvu
33. On Matrix Reinhardt and Circled Domains......Page all_14446_to_00707.cpc0579.djvu
34. On Holder Estimates for \bar{\partial}......Page all_14446_to_00707.cpc0593.djvu
35. Removable Singularities......Page all_14446_to_00707.cpc0606.djvu
36. An Implicit Function Theorem......Page all_14446_to_00707.cpc0636.djvu
37. Old and New Invariant Metrics......Page all_14446_to_00707.cpc0646.djvu
38. Inégalités de Markov et Développement......Page all_14446_to_00707.cpc0689.djvu