Holomorphic functions and surjective limits.- Bounded symmetric homogeneous domains in infinite dimensional spaces.- Lindel¿f's principle in infinite dimensions.- Plurisubharmonic functions in topological vector spaces: Polar sets and problems of measure.- A glimpse at infinite dimensional holomorphy.- Holomorphic extensions and domains of holomorphy for general function algebras.- Weak analytic continuation from compact subsets of Cn.- Weak analytic functions and the closed graph theorem.- The holomorphic functional calculus and infinite dimensional holomorphy.- The spectrum as envelope of holomorphy of a domain over an arbitrary product of complex lines.- On bounded sets of holomorphic mappings.- Malgrange theorem for entire functions on nuclear spaces.- On some various notions of infinite