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 35, Number 2

#### Publication Date: June 1968

Continuous dependence of bounded solutions of a linear parabolic partial differential equation upon interior Cauchy data

J. R. Cannon and C. Denson Hill; 217-230

On the existence of certain disjoint arcs in graphs

Mark E. Watkins; 231-246

Eulerian numbers of higher order

J. F. Dillon and D. P. Roselle; 247-256

On commutative locally $M$-convex algebras

R. M. Brooks; 257-267

Wallman and $Z$-compactifications

A. K. Steiner and E. F. Steiner; 269-275

Insertion of open functions

J. G. Ceder and T. L. Pearson; 277-288

On the local behavior of homeomorphic solutions of Beltrami’s equation

A. Schatz; 289-306

Spectra of multipliers on $D\sb{\alpha}$

Gerald D. Taylor; 307-311

Fractional integrals and Hankel transforms

Kusum Soni; 313-319

On the logarithmic capacity and conformal mapping

Ch. Pommerenke; 321-325

Asymptotic formulae for point lattices of bounded determinant and subspaces of bounded height

Wolfgang M. Schmidt; 327-339

Representation theorems for uniquely divisible semi-groups

Dennison R. Brown and Michael Friedberg; 341-352

Operators in function spaces which commute with multiplications

Richard Beals; 353-362

Analytic eigenvalues and eigenvectors

T. A. Porsching; 363-367

On the $w\sp{\ast}$-sequential closure of a Banach space in its second dual

R. D. McWilliams; 369-373

Ideal center of a $C\sp{\ast}$-algebra

J. Dixmier; 375-382

Representing measures for harmonic functions

D. R. Wilken; 383-389

On best approximations of functions of two variables

David A. Sprecher; 391-397

A note on diminishing the undecidable region of a recursively enumerable set

Robert A. Di Paola; 399-405

Relations among some basic properties of non-continuous functions

D. E. Sanderson; 407-414

Reflection laws of high order elliptic differential equations in two independent variables with constant coefficients and unequal characteristics across analytic boundary conditions

James M. Sloss; 415-434