Transactions of the AMS. Year 1967. Volume 129. Number 03.


Representation theory of central topological groups
Siegfried Grosser; Martin Moskowitz
361-390


Complex cubic splines
J. H. Ahlberg; E. N. Nilson; J. L. Walsh
391-413


A study of metric-dependent dimension functions
Keiô Nagami; J. H. Roberts
414-435


Classes of semi-inner-product spaces
J. R. Giles
436-446


On a piece of hypersurface in a Riemannian manifold with mean curvature bounded away from zero
Yoshie Katsurada
447-457


The numerical solutions of the eigenvalue problem for compact integral operators
Kendall E. Atkinson
458-465


Extremal problems in the class of close-to-convex functions
Bernard Pinchuk
466-478

Abstract: The class K of normalized close-to-convex functions in $D = \{ z:\vert z\vert < 1\}$ has a parametric representation involving two Stieltjes integrals. Using a variational method due to G. M. Goluzin [2] for classes of analytic functions defined by a Stieltjes integral, variational formulas are developed for K. With these variational formulas, two general extremal problems within K are solved. The first problem is to maximize the functional


Subharmonic functions in the half-plane
Jun-iti Itô
479-499


Disconjugate linear differential operators
Zeev Nehari
500-516


Real characters and the radical of an abelian group
J. E. Diem; F. B. Wright
517-529


$M$-semiregular subalgebras in hyperfinite factors
Sister Rita Jean Tauer
530-541


On rates of convergence for the invariance principle
Walter A. Rosenkrantz
542-552