Complex Analysis III: Proceedings of the Special Year Held at the University of Maryland, College Park, 1985-86

ISBN-13: 9783540183556 / Angielski / Miękka / 1987 / 352 str.

Carlos A. Berenstein

Opis

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Spis treści

Some recent successes in value-distribution theory.- Bergman — Szegö type theory for CR structures.- Regular complex geodesics for the domain Dn=((z1, ..., zn) ? ?n : |z1| + ... + |zn| < 1).- Subelliptic, second order differential operators.- Recent results on homogeneous complex manifolds.- Kähler-Einstein metrics for the case of positive first chern class.- Algebroid reduction of Nevanlinna theory.- An infinite-dimensional generalization of the Shilov boundary and infinite dimensional analytic structures in the spectrum of a uniform algebra.- New relations between Sibony-Basener boundaries.- Picard-fuchs differential equations for the quadratic periods of Abelian integrals of the first kind.- Holomorphic families of holomorphic isometries.- Complex Monge-Ampère equation and related problems.- Liouville theorems.- A final word.