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 45, Number 4

#### Publication Date: December 1978

The relationship between the index of a strongly stable periodic linear Hamiltonian vectorfield and the index of its stability domain

Richard Cushman; 701-709

Biholomorphic maps of weakly pseudoconvex domains

Eric Bedford and John Erik Fornæss; 711-719

Covariant representations on the Calkin algebra I

Richard Loebl and Claude Schochet; 721-734

The moving frame, differential invariants and rigidity theorems for curves in homogeneous spaces

Mark L. Green; 735-779

Infinite regular coverings

R. S. Kulkarni; 781-796

Curvature on the Fermat cubic

Linda Ness; 797-807

A sufficient condition for the avoidance of sets by measure preserving flows in $\mathbb{R}^n$

Michael Aizenman; 809-813

The atomic decomposition for Hardy spaces in several complex variables

John B. Garnett and Robert H. Latter; 815-845

Schrödinger operators with magnetic fields. I. general interactions

J. Avron, I. Herbst and B. Simon; 847-883

Von Staudt for $\mathbf{F}_q [T]$

David Goss; 885-910

A trace formula for reductive groups I terms associated to classes in $G(\mathbf{Q})$

James G. Arthur; 911-952

Correction: On density properties of certain subgroups of locally compact groups

S. P. Wang; 953