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 55, Number 1

#### Publication Date: March 1987

Operator calculi associated with reflection groups

Eugene Gutkin; 1-18

Weighted inequalities for the dyadic square function without dyadic $A_{\infty}$

J. Michael Wilson; 19-49

Concerning a conjecture of Colliot-Thélène and Sansuc

Douglas J. Muder; 51-63

Equivariant holomorphic maps of symmetric domains

Hodge numbers of linked surfaces in $\mathbb{P}^{4}$

Sheldon Katz; 89-95

The homology of a space on which a reflection group acts

Michael W. Davis; 97-104

Some aspherical manifolds

Michael W. Davis; 105-139

Weak $(1,1)$ bounds for oscillatory singular integrals

Sagun Chanillo and Michael Christ; 141-155

$C^m$ approximation by solutions of elliptic equations, and Calderón-Zygmund operators

Joan Verdera; 157-187

A relation between Dedekind sums and Kloosterman sums

Ilan Vardi; 189-197

On limit multiplicities of representations with cohomology in the cuspidal spectrum

Jürgen Rohlfs and Birgit Speh; 199-211

Defect relations for holomorphic maps between spaces of different dimensions

Yum-Tong Siu; 213-251