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 1

#### Publication Date: March 1978

Unique continuation of solutions of partial differential equations and inequalities from manifolds of any dimension

M. S. Baouendi and E. C. Zachmanoglou; 1-13

Product formulas for the eigenvalues of a class of boundary value problems

Tommy Dreyfus and Harry Dym; 15-37

Some birational invariants for algebraic real hypersurfaces

S. M. Webster; 39-46

Rational period functions of the modular group

Mrvin I. Knopp; 47-62

Existence of certain canonical models

Kuang-yen Shih; 63-66

Acyclic models for multicomplexes

Jean-Pierre Meyer; 67-85

Gamma function identities and elliptic differentials on Fermat curves

Neal Koblitz; 87-99

On the torsion in $K_4(\mathbb{Z})$ and $K_5(\mathbb{Z})$

Ronnie Lee and R. H. Szczarba; 101-129

Addendum to the article “on the torsion in $K_\ast(\mathbb{Z})$”

C. Soulé; 131-132

$\mathcal{C}^\infty$ peak functions for pseudoconvex domains of strict type

Thomas Bloom; 133-147

Solutions of the Korteweg-de Vries equation from irregular data

Amy Cohen Murray; 149-181

An analogue of Weyl’s theorem for unbounded domains I

Andrew Majda and James Ralston; 183-196