Complex Analysis: Seminar, University Park PA, March 10–14, 1986

Steven G. Krantz (auth.), Steven G. Krantz (eds.)9780387180946, 0-387-18094-X

This conference gathered together a small group of people with similar interests in the geometric function theory of several complex variables. While the speeches were of a specialized nature, the papers in the proceedings are largely of a survey and speculative nature. The volume is intended to serve both students and researchers as an invitation to active new areas of research. The level of the writing has been intentionally set in such a way that the papers will be accessible to a broad audience.

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Table of contents :
Recent progress and future directions in several complex variables….Pages 1-23
Boundary singularities of biholomorphic maps….Pages 24-28
Compactness of families of holomorphic mappings up to the boundary….Pages 29-42
The imbedding problem for open complex manifolds….Pages 43-59
A characterization of CP n by its automorphism group….Pages 60-65
Proper mappings between balls in C n ….Pages 66-82
Finite-type conditions for real hypersurfaces in ℂ n ….Pages 83-102
Iterated commutators and derivatives of the levi form….Pages 103-110
Plurisubharmonic functions on ring domains….Pages 111-120
Characterizations of certain weakly pseudoconvex domains with non-compact automorphism groups….Pages 121-157
Interpolation theory in C n : A suryey….Pages 158-188
Extendability of holomorphic functions….Pages 189-195