Michael’s problem and the Poincaré-Fatou-Bieberbach phenomenon

DOI10.1090/S0273-0979-1986-15463-7zbMath0608.32008MaRDI QIDQ3748556

P. G. Dixon, Jean Esterle

Publication date: 1986

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Michael's problemBieberbach phenomenon

Mathematics Subject Classification ID

General theory of topological algebras (46H05) Picard-type theorems and generalizations for several complex variables (32H25)

Related Items

Examples of non-autonomous basins of attraction-II, Growth of volume in Fatou-Bieberbach regions, A class of Fréchet algebras with continuous characters, Some Problems, Rescaling methods in complex analysis, Some problems concerning algebras of holomorphic functions, Derivations with large separating subspace, The first thirty years of Andersén-Lempert theory, L'image d'une application holomorphe, Universal multiplicative properties of certain quotients of Fréchet algebras, The topology and dynamics of the hyperspaces of normal fuzzy sets and their inverse limit spaces, Holomorphic automorphisms of complex Banach spaces, Solving the Loewner PDE in complete hyperbolic starlike domains of \(\mathbb{C}^N\), Chaotic holomorphic automorphisms of Stein manifolds with the volume density property, Picard–Borel ideals in Fréchet algebras and Michael's problem, A strong Oka principle for embeddings of some planar domains into \(\mathbb C\times\mathbb C^\ast\), Dynamical properties of plane polynomial automorphisms, On solutions of the Poincaré equation, Unnamed Item, FATOU–BIEBERBACH DOMAINS, Estimations du type nevanlinna pour les applications holomorphes de ∁n dans ∁n, Some aspects of shift-like automorphisms of \(\mathbb {C}^k\), Approximation of biholomorphic mappings by automorphisms of \(\mathbb{C}^ n\), On complete intersections, On the holomorphic automorphisms of hyperbolic manifolds., Picard's theorem, Mittag-Leffler methods, and continuity of characters on Fréchet algebras, A Fatou-Bieberbach domain intersecting the plane in the unit disk

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dense inverse limit rings
• Automorphismes analytiques admettant des sous-variétés de points fixés attractives dans la direction transversale
• Problèmes de modules pour des équations différentielles non linéaires du premier ordre
• Applications holomorphes injectives de \({\mathbb{C}}^ 2\) dans lui-même qui exceptent une droite complex
• Extending holomorphic motions
• Value distribution for holomorphic maps in \(\mathbb{C}^n\)
• Brownian motion and analytic functions
• Analytic classification of germs of conformal mappings \((C,O) \to (C,O)\) with identity linear part
• A Jacobian criterion for separability
• Michael problem and algebras of holomorphic functions
• Topological classification and bifurcations of holomorphic flows with resonances in \(C^ 2\).
• A reduction of the continuous homomorphism problem for F-algebras
• The lemma of the logarithmic derivative in several complex variables
• Explicit imbedding of the (punctured) disc into \(\mathbb{C}^2\)
• Curvatures of Monge-Ampère foliations and parabolic manifolds
• Théorie itérative: Introduction à la théorie des invariants holomorphes
• Imbedding annuli in C\(^2\)
• Das Typenproblem bei formal-biholomorphen Abbildungen mit anziehendem Fixpunkt
• Normalformen biholomorpher Abbildungen mit anziehendem Fixpunkt
• Holomorphic mappings of polydiscs into compact complex manifolds
• A defect relation for equidimensional holomorphic mappings between algebraic varieties
• Iteration of analytic functions
• On the dynamics of rational maps
• A Discontinuous Homomorphism from C(X)
• Local Contractions and a Theorem of Poincare
• Remarks on some functional equations
• Classification analytique des équations différentielles non linéaires résonnantes du premier ordre
• Sur l'image d'une fonction entiere de deux variables complexes
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Espaces vectoriels topologiques
• Semi-Groupes RÉels Dans Les Algèbres De Banach Commutatives
• Some remarks on the Casorati-Weierstrass theorem
• Picard's Theorem and Brownian Motion
• A generalization of Bieberbach's example
• Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85)
• Scalar Homomorphisms on Algebras of Infinitely Long Polynomials with an Application to Automatic Continuity Theory
• Injection De Semi-Groupes Divisibles Dans Des Algèbres De Convolution Et Construction D'homomorphismes Discontinus De C (K )
• An $n$-dimensional extension of Picard's theorem
• A Remark Concerning Multiplicative Functionals on Lmc Algebras
• Embedding the Algebra of Formal Power Series in a Banach Algebra
• Holomorphic Maps into Complex Projective Space Omitting Hyperplanes
• Locally multiplicatively-convex topological algebras
• Théorie nouvelle des familles complexes normales. Applications à l'étude des fonctions algébroïdes