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 49, Number 4

#### Publication Date: December 1982

Holomorphic extension of CR functions

Al Boggess and John C. Polking; 757-784

Rational conjugacy classes in reductive groups

Robert E. Kottwitz; 785-806

Symétries des fibrés vectoriels sur $\mathbf{P}^n$ et nombre d’euler

Par J. Bertin and G. Elencwajg; 807-831

Alexander polynomial of plane algebraic curves and cyclic multiple planes

A. Libgober; 833-851

Asymptotique des niveaux d’énergie pour des hamiltoniens a un degre de liberté

B. Helffer and D. Robert; 853-868

Asymptotic behavior of matrix coefficients of admissible representations

William Casselman and Dragan Miličić; 869-930

A smooth curve in \mathbf{C}^2 which is not a pluripolar set

Klas Diederich and John Erik Fornaess; 931-936

On the $L$-functions of canonical Hecke characters of imaginary quadratic fields, II

Hugh L. Montgomery and David E. Rohrlich; 937-942

Irreducible characters of semisimple Lie groups IV. Character-multiplicity duality

David A. Vogan, Jr.; 943-1073

A new proof of the Mourre estimate

Richard Froese and Ira Herbst; 1075-1085

The canonical ring of a variety of general type

Mark L. Green; 1087-1113

Induced representations and the cohomology of discrete subgroups

Birgit Speh; 1115-1127

There exist finitely presented groups with infinite ooze

Shmuel Weinberger; 1129-1133