Complex Analysis Joensuu 1987: Proceedings of the XIIIth Rolf Nevanlinna-Colloquium, held in Joensuu, Finland, Aug. 10–13, 1987

G. D. Anderson, M. K. Vamanamurthy, M. Vourinen (auth.), Ilpo Laine, Tuomas Sorvali, Seppo Rickman (eds.)3540503706, 9783540503705, 0387503706

The articles in this volume are for the most part research articles related mainly to the theory of quasiconformal and quasiregular mappings, Riemann surfaces and potential theory. They have resulted from talks delivered at the 13th Nevanlinna Colloquium, which was also a celebration of the 80th birthday of Lars V. Ahlfors: hence many articles in this volume reflect his mathematical interests.

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Table of contents :
Inequalities for the extremal distortion function….Pages 1-11
Complete Klein coverings of Klein surfaces of characteristic 0. I….Pages 12-22
Quasiconformal extension of plane quasimöbius embeddings….Pages 23-27
Some integral conditions involving the spherical derivative….Pages 28-37
The dianalytic morphisms of the Klein bottles….Pages 38-51
Remarks on Sobolev imbedding inequalities….Pages 52-68
A generalization of the Teichmüller theorem….Pages 69-77
Unbounded Feynman integrable functionals defined in terms of analytic functions….Pages 78-92
Dynamics of maps with constant Schwarzian derivative….Pages 93-100
Rational Riemann maps….Pages 101-109
A characterization of quasiconformal mappings by the behaviour of a function of three points….Pages 110-123
On a class of univalent functions….Pages 124-139
Integral means of α-strongly starlike functions….Pages 140-145
On p-adic Nevanlinna theory….Pages 146-158
Ahlfors’ theorem on asymptotic values and some developments from it….Pages 159-168
Regular b-groups and repeated Dehn twists….Pages 169-192
Metric boundary conditions for plane domains….Pages 193-200
Compactifications of harmonic spaces and Hunt processes….Pages 201-213
Convex functions and the Nehari univalence criterion….Pages 214-218
A Green formula with multiplicities….Pages 219-222
A riemannian metric invariant under Möbius transformations in ℝ n ….Pages 223-235
Deformation of one-dimensional quasisymmetric embeddings….Pages 236-242
On the exponent of convergence for infinitely generated Fuchsian groups….Pages 243-251
The relation between the bounded point derivation and the fine derivation….Pages 252-264
Moduli of continuity and a Hardy-Littlewood theorem….Pages 265-272
A short proof of a theorem of Ahlfors….Pages 273-278
Remarks on the Picard theorem….Pages 279-284
Nonequidimensional value distribution theory….Pages 285-311
Poincaré domains in the plane….Pages 312-327
Concerning the Gross star theorem….Pages 328-338
On harmonic majorization….Pages 339-343
Homeomorphic conjugates of Fuchsian groups: An outline….Pages 344-353
Konforme und quasikonforme Abbildungen und das Krümmungsverhalten von Kurvenscharen….Pages 354-361
Carleson measure and BMO interpolation….Pages 362-370
Extending plurisubharmonic and holomorphic functions….Pages 371-378