Proceedings On Infinite Dimensional Holomorphy, University Of Kentucky 1973, (lecture Notes In Mathematics)

Holomorphic functions and surjective limits....Pages 1-12 Bounded symmetric homogeneous domains in infinite dimensional spaces....Pages 13-40 Lindelöf's principle in infinite dimensions....Pages 41-57 Plurisubharmonic functions in topological vector spaces: Polar sets and problems of measure....Pages 58-68 A glimpse at infinite dimensional holomorphy....Pages 69-79 Holomorphic extensions and domains of holomorphy for general function algebras....Pages 80-91 Weak analytic continuation from compact subsets of C n ....Pages 92-96 Weak analytic functions and the closed graph theorem....Pages 97-100 The holomorphic functional calculus and infinite dimensional holomorphy....Pages 101-108 The spectrum as envelope of holomorphy of a domain over an arbitrary product of complex lines....Pages 109-122 On bounded sets of holomorphic mappings....Pages 123-134 Malgrange theorem for entire functions on nuclear spaces....Pages 135-144 On some various notions of infinite dimensional holomorphy....Pages 145-149 Approximation and homotopy properties for holomorphic extension in l 2 ....Pages 150-156 On the weierstrass problem in Banach spaces....Pages 157-167 A counterexample in the Levi problem....Pages 168-177 Approximation of holomorphic or plurisubharmonic functions in certain banach spaces....Pages 178-185 Some recent results and open problems in infinite dimensional analytic geometry....Pages 186-195 Biemann domains: Basic results and open problems....Pages 196-212