Proceedings on Infinite Dimensional Holomorphy: University of Kentucky 1973

Seán Dineen (auth.), T. L. Hayden, T. J. Suffridge (eds.)9780387066196, 0-387-06619-5

Table of contents :
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