Transactions of the AMS. Year 1955. Volume 079. Number 02.


A central limit theorem for uniformly bounded orthonormal systems
George W. Morgenthaler
281-311


Arithmetical predicates and function quantifiers
S. C. Kleene
312-340


Order types and similarity transformations
Seymour Ginsburg
341-361


Extremal problems and harmonic interpolation on open Riemann surfaces
Leo Sario
362-377


On curvature in Finsler geometry
Louis Auslander
378-388


Some contributions to the theory of rings of operators. II
Ernest L. Griffin
389-400


Potential theory in the geometry of matrices
Josephine Mitchell
401-422


On circumferentially mean $p$-valent functions
James A. Jenkins
423-428


Galois theory of continuous transformation rings
Alex Rosenberg; Daniel Zelinsky
429-452


Extension of derivations in continuous transformation rings
Alex Rosenberg; Daniel Zelinsky
453-458


Maximal sets of involutions
Irving Reiner
459-476


Simple algebras with purely inseparable splitting fields of exponent $1$
G. Hochschild
477-489


Compound group extensions. III
Robert L. Taylor
490-520


Finite extensions of Abelian groups with minimum condition
Reinhold Baer
521-540


Some contributions to the theory of denumerable Markov chains
Cyrus Derman
541-555

Abstract: §1 deals with the statistical regularity properties of a denumerable number of particles, all moving about the states of a Markov chain according to the same transition probabilities. §2 deals with the problem of obtaining a sharper version of a strong limit theorem proved independently by Harris and Lévy.


Errata, volume 77

556