Holomorphic Functions and Moduli I

1. Front Matter

   Pages i-xiii

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2. Complex Dynamics

   1. The nonconjugacy of certain exponential functions

      • Adrien Douady, Lisa R. Goldberg

      Pages 1-7

   2. Dynamics of holomorphic self-maps of ℂ*

      • Linda Keen

      Pages 9-30

   3. Automorphisms of rational maps

      • Curt McMullen

      Pages 31-60

3. Geometric Function Theory

   1. Selfsimilar zippers

      • Kari Astala

      Pages 61-73

   2. On the boundary behavior of Bloch functions

      • J. L. Fernández, Ch. Pommerenke

      Pages 75-78

   3. Harmonic functions in quasicircle domains

      • A. Hinkkanen

      Pages 79-91

   4. Note on a theorem of Wolff

      • John L. Lewis

      Pages 93-100

   5. Bloch and normal functions on general planar regions

      • David Minda

      Pages 101-110

   6. A halfplane version of a theorem of Borel

      • John Rossi

      Pages 111-118

   7. An index theorem on singular points and cusps of quadrature domains

      • Makoto Sakai

      Pages 119-131

   8. The local modulus of continuity of an analytic function

      • Wayne Smith, David A. Stegenga

      Pages 133-142

4. Quasiconformal Mappings

   1. Quasiconformal isotopies

      • Clifford J. Earle, Curt McMullen

      Pages 143-154

   2. The coefficient problem for univalent functions with quasiconformal extension

      • S. L. Krushkal’

      Pages 155-161

   3. Cone conditions and quasiconformal mappings

      • Raimo Näkki, Bruce Palka

      Pages 163-177

   4. Existence of quasiregular mappings

      • Seppo Rickman

      Pages 179-185

   5. Quasisymmetric maps

      • Jussi Väisälä

      Pages 187-192

   6. A geometric interpretation of the Ahlfors-Weill mappings and an induced foliation of H3

      • John A. Velling

      Pages 193-202

5. Riemann Surfaces

   1. Isospectral potentials on a surface of Genus 3

      • Robert Brooks

      Pages 203-208

   2. Integrable holomorphic quadratic differentials with simple zeros

      • Yukio Kusunoki

      Pages 209-213

The Spring 1986 Program in Geometric Function Theory (GFT) at the Mathematical Sciences Research Institute (MSRI) brought together mathe­ maticians interested in Teichmiiller theory, quasiconformal mappings, Kleinian groups, univalent functions and value distribution. It included a large and stimulating Workshop, preceded by a mini-conference on String Theory attended by both mathematicians and physicists. These activities produced interesting results and fruitful interactions among the partici­ pants. These volumes represent only a portion of the papers that will even­ tually result from ideas developed in the offices and corridors of MSRI's elegant home. The Editors solicited contributions from all participants in the Program­ whether or not they gave a talk at the Workshop. Papers were also submit­ ted by mathematicians invited but unable to attend. All manuscripts were refereed. The articles included here cover a broad spectrum, representative of the activities during the semester. We have made an attempt to group them by subject, for the reader's convenience. The Editors take pleasure in thanking all participants, authors and ref­ erees for their work in producing these volumes. We are also grateful to the Scientific Advisory Council of MSRI for sup­ porting the Program in GFT. Finally thanks are due to the National Sci­ ence Foundation and those Universities (including Cornell, Michigan, Min­ nesota, Rutgers Newark, SUNY Stony Brook) who gave released time to faculty members to participate for extended periods in this program.

• Riemann surface
• analytic function
• distribution
• dynamics
• holomorphic function
• quasiconformal mapping

• Department of Mathematics, Purdue University, West Layfayete, USA

  D. Drasin

• Department of Mathematics, State University of New York at Stony Brook, Stony Brook, USA

  I. Kra

• Department of Mathematics, Cornell University, Ithaca, USA

  C. J. Earle

• Department of Mathematics, University of Minnesota, Minneapolis, USA

  A. Marden

• Department of Mathematics, University of Michigan, Ann Arbor, USA

  F. W. Gehring

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