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 48, Number 4

#### Publication Date: December 1981

$L^p$ estimates for Radon transforms in Euclidean and non-Euclidean spaces

Robert S. Strichartz; 699-727

Semicharacters on connected Lie groups

Niels Vigand Pedersen; 729-754

On free Kleinian groups

Singular variation of domains and eigenvalues of the Laplacian

Shin Ozawa; 767-778

Spectral asymptotics for the $\bar{\partial}$-Neumann problem

Guy Metivier; 779-806

The boundary behavior of automorphic forms

P. J. Nicholls; 807-812

Arithmetic of differential operators on symmetric domains

Goro Shimura; 813-843

Examples of singular parabolic measures and singular transition probability densities

Eugene B. Fabes and Carlos E. Kenig; 845-856

Strong rigidity of compact quotients of exceptional bounded symmetric domains

Yum-Tong Siu; 857-871

The proof of the central limit theorem for theta sums

W. B. Jurkat and J. W. Van Horne; 873-885

Correction to: The spectral geometry of the higher order Laplacian, Vol. 47 (1980), 511–528.

Peter B. Gilkey; 887