Holomorphic Functions and Moduli

TABLE OF CONTENTS VOLUME 1

PREFACE

COMPLEX DYNAMICS

A.	Douady and L.R. Goldberg
THE NONCONJUCACY OF CERTAIN
	EXPONENTIAL FUNCTIONS	1

L.	Keen
	DYNAMICS OF HOLOMORPHIC SELF-MAPS OF C*	9

C.	McMullen
AUTOMORPHISMS OF RATIONAL MAPS

GEOMETRIC FUNCTION THEORY

K.	Astala
	SELFSIMILAR ZIPPERS	61

J.L. Fernandez and Ch. Pommerenke
ON THE BOUNDARY BEHAVIOR OF BLOCH FUNCTIONS

A.	Hinkkanen
	HARMONIC FUNCTIONS IN QUASICIRCLE DOMAINS	79

J.L. Lewis
	NOTE ON A THEOREM OF WOLFF	93
D.	Minda
BLOCH AND NORMAL FUNCTIONS ON CENERAL

PLANAR REGIONS

J.	Rossi
A HALFPLANE VERSION OF A THEOREM OF BOREL

M.	Sakai
AN INDEX THEOREM ON SINGULAR POINTS AND
	CUSPS OF QUADRATURE DOMAINS	119

W.	Smith and D.A. Stegenga
THE LOCAL MODULUS OF CONTINUITY OF
	AN ANALYTIC FUNCTION	133

QUASICONFORMAL MAPPINGS

C.J. Earle and C. McMullen
	QUASICONFORMAL ISOTOPIES	143

S.L. Krushkal’
THE COEFFICIENT PROBLEM FOR UNIVALENT
	FUNCTIONS WITH QUASICONFORMAL EXTENSION	155

R.	Näkki and B. Palka
	CONE CONDITIONS AND QUASICONFORMAL MAPPINGS	163

S.	Rickman
	EXISTENCE OF QUASIREGULAR MAPPINGS	179

J.	Väisälä
	QUASISYMMETRIC MAPS	187

J.A. Velling
A GEOMETRIC INTERPRETATION OF THE AHLFORS-WEILL
	MAPPINGS AND AN INDUCED FOLIATION OF	193
RIEMANN SURFACES

R.	Brooks
ISOSPECTRAL POTENTIALS ON A SURFACE OF GENUS 3	203

Kusunoki
Y.

INTEGRABLE HOLOMORPHIC QUADRATIC DIFFERENTIALS

WITH SIMPLE ZEROS	209

H.	Masur
LOWER BOUNDS FOR THE NUMBER OF SADDLE

CONNECTIONS AND CLOSED TRAJECTORIES OF

A QUADRATIC DIFFERENTIAL . . . .	215

M.	Sheingorn
RATIONAL SOLUTIONS OF	dx_1x_2x_3

AND SIMPLE CLOSED GEODESICS ON

FRICKE SURFACES	229

M.	Shiba
THE PERIOD MATRICES OF COMPACT

CONTINUATIONS OF AN OPEN RIEMANN

SURFACE OF FINITE GENUS	237
Holomorphic Functions and Moduli

TABLE OF CONTENTS VOLUME 2

PREFACE

FUCHSIAN GROUPS

S.	Agard
MOSTOW RIGIDITY ON TEE LINE: A SURVEY

A.F. Beardon
FUCHSIAN GROUPS AND ROOTS OF

PARABOLIC GENERATORS

J.	Gilman
ON TEE EXISTENCE OF ELLIPTICS IN SUBGROUPS OF PSL(2, R): A GRAPHICAL PICTURE

M.	Masumoto
THE KERNEL OF THE POINCARÉ SERIES OPERATOR OF WEIGHT —2

KLEINIAN GROUPS AND GENERALIZATIONS

M.H. Freedman and R. Skora
STRANGE ACTIONS OF GROUPS ON SPHERES,

J.B.	Garnett, F.W. Gehring and P.W. Jones QUASICONFORMAL GROUPS AND THE CONICAL LIMIT SET

T.	Jorgensen and A. Marden
GENERIC FUNDAMENTAL POLYHEDRA FOR KLEINIAN GROUPS

G.J. Martin
QUASICONFORMAL ACTIONS ON DOMAINS IN SPACE
G.J. Martin and P. Tukia
CONVERGENCE AND MÖBIUS GROUPS

P.J. Nicholls
THE LIMIT SET OF A DISCRETE GROUP OF

HYPERBOLIC MOTIONS

P.	Tukia
A REMARK ON A PAPER BY FLOYD

P.L. Waterman
PURELY ELLIPTIC MÖBIUS GROUPS

TEICHMULLER SPACES

C.J. Earle and S. Nag
CONFORMALLY NATURAL REFLECTIONS IN JORDAN CURVES WITH APPLICATIONS TO TEICHMULLER SPACES

F.P. Gardiner
A THEOREM OF BERS AND GREENBERG FOR

INFINITE DIMENSIONAL TEICHMÜLLER SPACES

Y.	Imayoshi and H. Shiga
A FINITENESS THEOREM FOR HOLOMORPHIC FAMILIES OF RIEMANN SURFACES

l.	Kra
NON-VARIATIONAL GLOBAL COORDINATES FOR TEICHMÜLLER SPACES

B.	Maskit
PARAMETERS FOR FUCHSIAN GROUPS I: SIGNATURE (0,4)

M.	Seppälä and T. Sorvali
PARAMETRIZATION OF TEICHMÜLLER SPACES BY GEODESIC LENGTH FUNCTIONS

P.L. Sipe
FAMILIES OF COMPACT RIEMANN SURFACES WHICH DO NOT ADMIT flth ROOTS