Proceedings on Infinite Dimensional Holomorphy

T. L. Hayden

• 25 januari 1974
• 9783540066194

Samenvatting:

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.