Displaying similar documents to “Convexity in complex analysis”

New examples of effective formulas for holomorphically contractible functions

Marek Jarnicki, Peter Pflug (1999)

Studia Mathematica

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Let G ⊂ ℂ n and B ⊂ 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.

A characterization of linear automorphisms of the Euclidean ball

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.

On Lempert functions in ℂ 2 .

Jarnicki, Witold (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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On generalized differential equations in Banach spaces

Tadeusz Poreda

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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...