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Lecture Notes in Mathematics Lecture Notes in Mathematics Edited by A. Oold and B. Eckmann 1013 :1iI>, _ Complex Analysis - Fifth Romanian-Finnish Seminar Part 1 Proceedings of the Seminar held in Bucharest, June 28 - July 3, 1981 Edited by C. Andreian Cazacu, N. Boboc, M. Jurchescu and I. Suciu ';1_. _ Spri nger-Verlag Berlin Heidelberg New York Tokyo 1983 Editors Cabiria Andreian Cazacu Nicu Boboc Martin Jurchescu Institute of Mathematics Str. Academiei 14, 70109-Bucharest, Romania Ion Suciu Dept. of Mathematics, INCREST Bdul Pacii 220, 79622 Bucharest, Romania AMS Subject Classifications (1980): 30-06 (30G60, 30C70, 30C55, 30D45, 30E10, 30F40, 30 Fxx); 31-06; 32-06; (58-06); 35-06,47-06 ISBN 3-540-12682-1 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-12682-1 Springer-Verlag New York Heidelberg Berlin Tokyo Library of Congress Cataloging in Publication Data. Romanian-Finnish Seminar on Complex Analysis (5th: 1981: Bucharest! Romania) Vth Romanian-Finnish Seminar on Complex Analysis. (Lecture notes in mathematics; 1013-1014) 1. Functions of complex variables-Congresses. 2. Functions of several complex variables- Congresses. 3. Mappings (Mathematics)-Congresses. 4. Functional analysis-Congresses. 5. Po tential, Theory of-Congresses. I. Andreian Cazacu, Cabiria, II. Title. III. Series: Lecture notes in mathematics (Springer-Verlag); 1013-1014. QA3.L28 no. 1013-1014 [QA331l 510s [515.9] 83-20179 ISBN 0-387-12682-1 (v.1: U.S.) ISBN 0-387-12683-X (v,2: U.S.) This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertunqsqesellschaft Wort", Munich. © by Springer-Verlag Berlin Heidelberg 1983 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210 CONTillTS VOLUME I O.Lehto, On Rolf Nevanl1nna's mathematioal work and on his role, together with Simion Btoilow, as a promotor of Romanian• Finnish mathematioal relations Cab1ria Andre1an Cazacu Sur l'oeuvre de Simion Stoilow 8 I SECTION ­ QUASlCONFORMA,L AND QUASIREGULAR MAPPINGS, TEICRMULLER SPACES AND KLEINIAN GROUPS. P.Caraman, QU8s1oonformal mappings in abstract Wiener spaces 23 S.Cr aoi una9 , Homeomorph1smes quas1­oonformes sur des espaoes looalement oonvexes 50 T.Erkama, On domains of bounded dilatat10n 68 Jacqueline Ferrand, Un invariant conforme lie aux geodesiques oonformes 76 Monloa Frunza, On the quasioonformality of some mappings in normed spaces 87 Zerrin Go"ktUrk, Remarks on p­valent quasimeromorphic functions 95 D.lv890U. The exponent of oonvergenoe of a discontinuous Mob i us group 100 IV R.Ktihnau, fiber Extremalprobleme be1 1m Mittel quasikonformen Abb11dungen 113 R.Ktihnau, Bemerkungen zu Extremalproblemen bel in einem spez1ellen Mittel quasikonformen Abbildungen 125 I oKur1bayash1 and A.Kur1bayashi, On parameters of a oanonical farm of a curve of genus three 132 H.R.Martens Remarks on de Franchis' theorem 160 O.Mart10, Quas1oonformal mappings and F-harmonic measure 16-1 A..Plerzohalsk1, On quas1oonformal deformations on manifolds 1 71 E.Reloh and K.Strebel, Quas1oonformal mappings of the punctured plane 182 J.Sarvas, theorem for spatial quasiconformal deformations 213 J...Wohlhauser, Abb11dungen 225 II SECTION - FUNCTION THEORY OF ONE COMPLEX VARIABLE O.Fekete, The Hardy class of oertain functions with integral representations 233 Evelyn Frank, Applioat1ons of oontinued fraotions in function theory 239 v HuY Khoai. p-adio interpolation and oontinuation of p-adio funotions 252 F.Haslinger. On some new bases in spaoes of holomorphic funotions 266 M.Knopp. The weight-changing operator and the Mellin transform of modular integrals 284 S.S.Miller and P.T.Mooanu. Univalent solutions of Briot-Bouquet differential equations 292 S.S.Miller,P.T.Mocanu and M.Reade, Subordination-preserving integral operators 311 P.T.Mooanu, D.Ripianu and I.Serb,, The order of starlikeness of oertain integral operators 327 N.N.Pasou and V.Podaru, On the radius of alpha-starlikeness for starlike funotion of order beta 336 E.M.Popa, Some suffioient oonditions of univalenoy for 1 oomplex funotions of the olass 0 350 H.Renggli, On endomorphisms of Riemann surfaoes 356 G.S.Salagean, Subclasses of univalent functions 362 VI S.Toppila, On the spherical derivative of a meromorphic function with a deficient value 373 VOLUME II rrr SECTION - SEVERAL COMPLEX VARIABLES O.Abdelkader, Un d'annulation pour les fibres en droites semi-positifs sur une variete kahlerienne faiblement l-compillte P.Flondor and E.Pascu, Some results on mixed manifolds 17 B.Gilligan, Holomorphio reductions of homogeneous spaces 27 M.Jurohescu, Espaces mixtes 37 N.Milev, Equivalenoe indefiniment differentiable et equiva- lence analytique reelIe pour les germes d'ensembles analytiques 58 C.Rea, Formes de Levi d'ordre superieur et reduction des variables dans l'equation d'une hYpersurfaoe reelle 68 K.Spallek, Produktzerlegung nnd AqUiValenz von I. Der allgemeine Fall 78 II. Der komplexe Fall 101 Editors' note: for the sake of completeness we reprcduce here the Contents of Part II of these proceedings (LNM 1014). VII F.Succi, Pseudovarietee complexes 112 T.V.Tonev, Commutative Banach algebraic and analytic functions of countable-many variables 122 IV SECTION - POTENTIAL THJ:iX)RY Martha Banulesou, Potentials on compact non-abelian groups 129 N.Boboo and Gh.Bucur, Perturbations in exoessive structures 155 F.0.Cornea, On the Riesz decomposition of biexcessive measures on locallY oompact groups 188 K.Janssen, Standard H-cones and balayage spaoes 297 Z.Kuramoohi, Applioations of quasi-Diriohlet bounded harmonio functions 204 E.Popa, Natural localization of a standard H-cone 220 L.Stoica, On sub-Markov resolvents.The restriction to an open set and the Diriohlet problem 228 H.Wallin, Divergence of multipoint Pade approximation 246 VIII V SECTION - FUNCTION T}mQRETICAL METHODS IN FUNCTIONAL ANALYSIS (OPERATORS AND DIFFERENTIAL OPERATORS) Gr.Arsene and Zoia Dilatation of two factorizations 256 H.Begehr, Boundary value problems for systems with Cauohy- Riemann main part 265 C.Sbordone, A new tool in the oalculus of variations:Gehring's theorem 280 S.Sburlan, Admissible nonlinear perturbation of divergence equations 285 F.H.Szafrani£c, Interpolation and domination by positive definite kernels 291 S.Teleman, On the regularity of the boundary measures 296 I. On stationary processes in complete correlated actions 316 LECTURES NOT PUBLISHED IN THIS PROCBEDINGS I SECTION H. Helling. Real algebraio models of Teichmliller spaces Maire Kiikka, Piecewise linear approximation of quasi conformal maps. Marjatta Naatanen, Generio fundamental polygons for surfaces of genus two. R.Nakki, Conformal mapp1ngs and Lip S.Rickman, Omitted values and a defect relation for quasimero­ morphia mappings. M.Seppala, Moduli of Klein surfaoes M.Vuor1nen, On the uniqueness of sequential limits of quasiconformal mappings. Math.Soand. 22 (1983) II SECTION I.Barza. Fonat1ons at formes de type meromorphe sur les surfaces de Riemann non orientables. I.II Revue Rouma1ne Math.Pures Appl., g§ , 8 at 7,(1983) A.Boivin, P.M.Gauthier at W.Hengartner, Approximation uniforme par des fonctions harmoniques aveo singular1tes Bull.Math. Soc.Sc.Math.RSRouman1e 28 (76),(1984) x A.Lebowitz and H.Shulman, Numerioal results in degenerating a oompaot hyper• elliptio Riemann surface of genus 4 An.Univ.Bucure$ti Mat., (1982), 35­37. J.T.Lyons, A Phragmen­Lindelof theorem of Fuchs P.Mocanu, On starlike functions with respect to symmetric functions G.Stegbuchner, Sets of uniqueness for regular functions satisfYing an integrated Lipschitz condition Math.Nachr.,loe (1982), 73­88, An.Univ. Mat., 34 (1984), H.Wiesler, On some classes of analytic functions III SECTION V.Anoona, Images directes de faisceaux amples Trans.Amer.Math.Soc. Vol. 274 (1982), 89­100, An.Univ.Bucuresti Mat., (1984). A.Baran, The existence of a subspace conneoting given subspaces of a Stein space P.de Bartolomeis On complex analyticity of harmonic maps (22),(1984) C.Borcea, Some remarks on deformations of Hopf manifolds A.Dimca, On contact olassification of map germs XI S.Dimiev, Faisceaux de fonctions Bull.Math.Soc.Sc.Math., RSRoumanie, (76), (1984) O.Dogaru and K.Teleman, Sur une classe de faisceaux Revue Roumaine Math.Pures Appl., G§,7,(1983),567-577. Simone Dolbeault, Produits de courants at residus Mille Laurent-Thiebaut A.lordan, Tubular neighbourhoods for Cauchy-Riemann manifolds , Condenser capacities connected with a variation of Kahlerian metric in the Dirichlet integral A.Mihai, Fibres vectoriels holomorphes sur des surfaces reglees. P.Papadopol, Un de Dolbeault algebrique P.Skibinski, The maXimum principle for the quotient of plurisub- harmonic functions and some theorems of Noether type D.Stefanescu, Algebraic elements over meromorphic power series in positive characteristio Bull.Math.Soc.Sc.Matho RSRoumanie, g§ 77-91 and 62 (22),2,(1983), 169-178. K.Teleman, Faisceaux cellulaires Revue Roumaine Math.Pures Appl., 637-641. XII G.Tomassini, Id6aux de type f'ini A<D (.n). IV SECTION V.Bally, Weak convergenoe conditions for Markov processes Mioara Buioulescu, Super mean valued functions and their excessive regularizations for non homogeneous Markov prooesses. P.Gau:bhier, Qualitative approximation on unbounded sets VI.Hansen, Semipolar sets J .T.Lyons, On the
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