Wandering domains in the iteration of compositions of entire functions.
Baker, I.N., Singh, Anand P. (1995)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Baker, I.N., Singh, Anand P. (1995)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Stefan Bergman (1977)
Annales Polonici Mathematici
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Väisälä, Jussi (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Roberto Peirone (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We state that in opportune tubular domains any two points are connected by a bounce trajectory and that there exist non-trivial periodic bounce trajectories.
Nikolai Nikolov (2006)
Annales Polonici Mathematici
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We prove that the symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains.
Roberto Peirone (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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We state that in opportune tubular domains any two points are connected by a bounce trajectory and that there exist non-trivial periodic bounce trajectories.
Armen Edigarian (2004)
Annales Polonici Mathematici
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We show that the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂):|λ₁|,|λ₂| < 1} ⊂ ℂ² cannot be exhausted by domains biholomorphic to convex domains.
McCarthy, John, Papadopoulos, Athanase (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Irvine Noel Baker (1963)
Mathematische Zeitschrift
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Karol Borsuk (1972)
Colloquium Mathematicae
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L.S.O. Liverpool (1974)
Aequationes mathematicae
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Meerschaert, M.M., Scheffler, H.-P. (1996)
Journal of Applied Analysis
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Ahmed Ayache, Hanen Monceur (2011)
Colloquium Mathematicae
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We investigate the elasticity of atomic domains of the form ℜ = A + XB[X], where X is an indeterminate, A is a local domain that is not a field, and A ⊂ B is a minimal extension of integral domains. We provide the exact value of the elasticity of ℜ in all cases depending the position of the maximal ideals of B. Then we investigate when such domains are half-factorial domains.
Peter Pflug, Włodzimierz Zwonek (1998)
Annales Polonici Mathematici
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We find effective formulas for the invariant functions, appearing in the theory of several complex variables, of the elementary Reinhardt domains. This gives us the first example of a large family of domains for which the functions are calculated explicitly.
A. E. Eremenko (1989)
Banach Center Publications
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V. Barucci, D.E. Dobbs, M. Fontana (1986)
Manuscripta mathematica
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Włodzimierz Zwonek
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Our work is divided into five chapters. In Chapter I we introduce necessary notions and we present the most important facts that we shall use. We also present our main results. Chapter I covers the following topics: • holomorphically contractible families of functions and pseudometrics, their basic properties, product property, Lempert Theorem, notion of geodesic, problem of finding effective formulas for invariant functions and pseudometrics and geodesics, completeness...
Alain Bouvier (1980)
Publications du Département de mathématiques (Lyon)
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Klas Diederich, John Erik Fornaess (1978)
Manuscripta mathematica
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