Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. Without specializing in a small number of subject areas, it emphasizes the most active and influential areas of current mathematics.

### Volume 52, Number 3

#### Publication Date: September 1985

On extending solutions to Dirichlet problems across the boundary as solutions

Mark Williams; 547-563

Some remarks on the filling in problem for degenerations

Robert Friedman; 565-575

$\mathrm{SL}(2,\mathbf{C}),H^1$ and symmetric tensors

Walter Parry; 577-585

Cusp forms associated to loxodromic elements of Kleinian groups

Irwin Kra; 587-625

The structure of normal surfaces

Fumio Sakai; 627-648

Period integrals in noncompact quotients of $\mathrm{SU}(p,1)$

Y. L. Tong and S. P. Wang; 649-688

An analogue of Max Noether’s theorem

Lawrence Ein; 689-706

Closed families of smooth space curves

Mei-Chu Chang and Ziv Ran; 707-713

Maximal functions for convex curves

Alexander Nagel, James Vance, Stephen Wainger and David Weinberg; 715-722

A condition for minimal interval exchange maps to be uniquely ergodic

Michael Boshernitzan; 723-752

On the restriction of supercuspidal representations to compact, open subgroups

P. C. Kutzko; 753-764

Effective Chabauty

Robert F. Coleman; 765-770

Intégrabilité locale des caractères du groupe $\mathrm{GL}(n,k)$ où $k$ est un corps local de caractéristique positive

François Rodier; 771-792