Author(s): Seán Dineen (auth.), T. L. Hayden, T. J. Suffridge (eds.)
Series: Lecture Notes in Mathematics 364
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1974
Language: English
Pages: 216
City: Berlin, New York
Tags: Mathematics, general
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
