Proceedings on Infinite Dimensional Holomorphy

224 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Topologie
• ISBN: 9783540066194
• Sprache: Englisch
• Erscheinungsdatum: 25.01.1974
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: T. L. Hayden, T. J. Suffridge