Convexity in complex analysis

Seán Dineen

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A survey of properties of invariant pseudodistances and pseudometrics is given with special stress put on completeness and product property.

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Marek Jarnicki, Peter Pflug (1999)

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Let $G \subset ℂ^{n}$ and $B \subset ℂ^{m}$ be domains and let Φ:G → B be a surjective holomorphic mapping. We characterize some cases in which invariant functions and pseudometrics on G can be effectively expressed in terms of the corresponding functions and pseudometrics on B.

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Hidetaka Hamada, Tatsuhiro Honda (1999)

Annales Polonici Mathematici

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Let B be the open unit ball for a norm on $ℂ^{n}$ . Let f:B → B be a holomorphic map with f(0) = 0. We consider a condition implying that f is linear on $ℂ^{n}$ . Moreover, in the case of the Euclidean ball , we show that f is a linear automorphism of under this condition.

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CONTENTSIntroduction . . . . . . . . 5I. Fundamental problems for generalized differential equations at nonsingular points§1. Introduction . . . . . . . . 6§2. Cauchy problem at nonsingular points for generalized differential equations of the first order . . . . . . . . 6§3. Dependence of solution on parameters and initial conditions . . . . . . . . 8II. Total solutions of generalized linear differential equations§1. Introduction . . . . . . . . 11§2. Form of solutions of generalized...

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Kot, Piotr (2002)

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