Description:
Holomorphic functions and surjective limits -- Bounded symmetric homogeneous domains in infinite dimensional spaces -- Lindelöf'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 dimensional holomorphy -- Approximation and homotopy properties for holomorphic extension in ?2 -- On the weierstrass problem in Banach spaces -- A counterexample in the Levi problem -- Approximation of holomorphic or plurisubharmonic functions in certain banach spaces -- Some recent results and open problems in infinite dimensional analytic geometry -- Biemann domains: Basic results and open problems.