Transactions of the AMS. Year 1953. Volume 074. Number 02.


An indirect sufficiency proof for the problem of Lagrange with differential inequalities as added side conditions
Louis L. Pennisi
177-198


Perturbation theory for semi-groups of linear operators
R. S. Phillips
199-221


The mathematics of second quantization
J. M. Cook
222-245


On P\'olya frequence functions. III. The positivity of translation determinants with an application to the interpolation problem by spline curves
I. J. Schoenberg; Anne Whitney
246-259


On $n$-dimensional Riemannian spaces admitting a group of motions of order $n(n-1)/2+1$
Kentaro Yano
260-279


Continuity properties of sample functions of Markov processes
J. R. Kinney
280-302


Linear functions on almost periodic functions
Edwin Hewitt
303-322


On commutative power-associative algebras of degree two
A. A. Albert
323-343


A unified space for mappings
G. T. Whyburn
344-350


Representations of prime rings
R. E. Johnson
351-357


Classes of recursively enumerable sets and their decision problems
H. G. Rice
358-366