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 39, Number 2

#### Publication Date: June 1972

On exterior and interior points of quadrics over a finite field

Solutions of some systems of equations over a finite field with applications to geometry

Interpolation series in local fields of prime characteristic

Carl G. Wagner; 203-210

Equivalence classes of involutory mappings

J. V. Brawley and Jack Levine; 211-217

Exact asymptotic estimates of Brownian path variation

S. J. Taylor; 219-241

Compactness properties of topological groups, II

S. P. Wang; 243-251

Spaces defined by sequences of open covers which guarantee that certain sequences have cluster points

R. E. Hodel; 253-263

On stochastic matrices whose absolute smallest characteristic root is real

Alfred Brauer and Ivey C. Gentry; 265-266

Enumeration of sequences by rises and falls: a refinement of the Simon Newcomb problem

L. Carlitz; 267-280

Continuity of positive and multiplicative functionals

Shu-bun Ng and Seth Warner; 281-284

Degree of symmetry of Stiefel manifolds

Victor Schneider; 285-288

Fréchet distance and the uniform convergence of quasiconformal mappings

Bruce Palka; 289-296

Functions over finite fields satisfying coordinate $\psi$-conditions

R. McConnel; 297-312

Matrix fields over prime fields

J. T. B. Beard, Jr.; 313-321

Endomorphisms of finite rank flat modules

S. H. Cox, Jr. and David E. Rush; 323-326

On the kernel of a locally compact semigroup

J. Gregory Dobbins; 327-331

On weak mixing and local almost periodicity

D. McMahon and T. S. Wu; 333-343

Lattice properties of $\mathcal{L}(E,F)$

William D. May and R. Rao Chivukula; 345-350

Convex functions and mean value inequalities

Philip Hartman; 351-360

Asymptotic values of finitely valent functions

The dual space of $H^p$ of the polydisc for $0<p<1$