Almost Analytic Extension of Ultradifferentiable Functions and the Boundary Values of Holomorphic Functions.
Dietmar Vogt, Hans-Joachim Petzsche (1984)
Mathematische Annalen
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Displaying similar documents to “Boundary Analyticity of Proper Holomorphic Maps of Domains with Non-Analytic Boundaries.”
Almost Analytic Extension of Ultradifferentiable Functions and the Boundary Values of Holomorphic Functions.
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An infinite dimensional extension of the Pick-Julia theorem is used to derive the conditions of Carathéodory type which guarantee the existence of angular limits and angular derivatives for holomorphic maps of infinite dimensional bounded symmetric homogeneous domains in -algebras and in complex Hilbert spaces. The case of operator-valued analytic maps is considered and examples are given.
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In this survey we give geometric interpretations of some standard results on boundary behaviour of holomorphic self-maps in the unit disc of ℂ and generalize them to holomorphic self-maps of some particular domains of ℂⁿ.
Normality Domains for Families of Holomorphic Maps.
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Continuity of intersection of analytic sets
P. Tworzewski, T. Winiarski (1983)
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