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 137, Number 1

#### Publication Date: 15 March 2007

${\mathcal C}^m$-norms on finite sets and ${\mathcal C}^m$ extension criteria

Edward Bierstone and Pierre D. Milman; 1-18

Invariant distributions on $p$-adic analytic groups

Jan Kohlhaase; 19-62

Iwasawa theory and the Eisenstein ideal

Romyar T. Sharifi; 63-101

Twists of $X(7)$ and primitive solutions to $x^2+y^3=z^7$

Bjorn Poonen, Edward F. Schaefer and Michael Stoll; 103-158

Energy functionals and canonical Kähler metrics

Jian Song and Ben Weinkove; 159-184