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This book contains the notes of five short courses delivered at the ", Centro Internazionale Matematico Estivo", session ", Integral Geometry, Radon Transforms and Complex Analysis", held in Venice (Italy) in June 1996: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share a stress on CR manifolds and rela...

The past several years have witnessed a striking number of important developments in Complex Analysis. One of the characteristics of these developments has been to bridge the gap existing between the theory of functions of one and of several complex variables. The Special Year in Complex Analysis at the University of Maryland, and these proceedings, were conceived as a forum where these new developments could be presented and where specialists...

Polynomial Hulls and linear measure.- Estimations, Par Noyaux, Des Solutions De L¿Equation u=f.- The heat equation and geometry for the -Neumann problem.- Extendibility of the Bergman kernel function.- ?b and Carleson type inequalities.- Boundary absolute continuity of functions in the ball algebra.- Subharmonic functions and minimal surfaces.- Proprietes de Recouvrement des Sous-Ensembles de la Frontiere d¿un Domaine Strictement Pseudo-Convex...

Some recent successes in value-distribution theory.- Bergman ¿ Szeg¿ 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.- K¿er-Einstein metrics for the case of positive first chern class.- Algebroid reduction of Nevanlinna theory.- An infinite-dimensional generalization of the Sh...