Proceedings of the American Mathematical Society

Contents of Volume 4, Number 4
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A note on the derivations of Lie algebras

George F. Leger

Proc. Amer. Math. Soc. 4 (1953), 511-514

DOI: https://doi.org/10.1090/S0002-9939-1953-0055984-1

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Concerning Cartan’s criterion

H. E. Campbell

Proc. Amer. Math. Soc. 4 (1953), 515-518

DOI: https://doi.org/10.1090/S0002-9939-1953-0057240-4

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A subdirect-union representation for completely distributive complete lattices

George N. Raney

Proc. Amer. Math. Soc. 4 (1953), 518-522

DOI: https://doi.org/10.1090/S0002-9939-1953-0058568-4

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On the representation of an integer as the sum of three fourth powers

M. Parthasarathy

Proc. Amer. Math. Soc. 4 (1953), 523-527

DOI: https://doi.org/10.1090/S0002-9939-1953-0056629-7

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Note on some formulas of Rodeja F

L. Carlitz

Proc. Amer. Math. Soc. 4 (1953), 528-529

DOI: https://doi.org/10.1090/S0002-9939-1953-0055966-X

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Note on some partition identities

L. Carlitz

Proc. Amer. Math. Soc. 4 (1953), 530-534

DOI: https://doi.org/10.1090/S0002-9939-1953-0056018-5

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Note on the class number of real quadratic fields

L. Carlitz

Proc. Amer. Math. Soc. 4 (1953), 535-537

DOI: https://doi.org/10.1090/S0002-9939-1953-0056636-4

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Permutations in a finite field

L. Carlitz

Proc. Amer. Math. Soc. 4 (1953), 538

DOI: https://doi.org/10.1090/S0002-9939-1953-0055965-8

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Properly primitive ternary indefinite quadratic genera of more than one class

Burton W. Jones and E. H. Hadlock

Proc. Amer. Math. Soc. 4 (1953), 539-543

DOI: https://doi.org/10.1090/S0002-9939-1953-0056647-9

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On monotone multiplicative functions

L. Moser and J. Lambek

Proc. Amer. Math. Soc. 4 (1953), 544-545

DOI: https://doi.org/10.1090/S0002-9939-1953-0056630-3

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Representation of functions by matrices. Application to Faber polynomials

Eri Jabotinsky

Proc. Amer. Math. Soc. 4 (1953), 546-553

DOI: https://doi.org/10.1090/S0002-9939-1953-0059359-0

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Rational normal matrices satisfying the incidence equation

A. A. Albert

Proc. Amer. Math. Soc. 4 (1953), 554-559

DOI: https://doi.org/10.1090/S0002-9939-1953-0056570-X

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Corrections to the paper “Remarks on fluctuations of sums of independent random variables”

K. L. Chung and M. Kac

Proc. Amer. Math. Soc. 4 (1953), 560-563

DOI: https://doi.org/10.1090/S0002-9939-1953-0056228-7

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On the Fourier expansion of stationary random processes

R. C. Davis

Proc. Amer. Math. Soc. 4 (1953), 564-569

DOI: https://doi.org/10.1090/S0002-9939-1953-0056235-4

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An expression for $\vartheta _ 1(nz)/\vartheta _ 1(z)$

W. N. Bailey

Proc. Amer. Math. Soc. 4 (1953), 569-572

DOI: https://doi.org/10.1090/S0002-9939-1953-0057904-2

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A cardinal number associated with a family of sets

Seymour Ginsburg

Proc. Amer. Math. Soc. 4 (1953), 573-577

DOI: https://doi.org/10.1090/S0002-9939-1953-0056051-3

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Distribution functions containing a Gaussian factor

Harry Pollard

Proc. Amer. Math. Soc. 4 (1953), 578-582

DOI: https://doi.org/10.1090/S0002-9939-1953-0056122-1

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On Euler methods of summability for double series

G. N. Wollan

Proc. Amer. Math. Soc. 4 (1953), 583-587

DOI: https://doi.org/10.1090/S0002-9939-1953-0056109-9

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A remark on zeta functions

H. Kober

Proc. Amer. Math. Soc. 4 (1953), 588-590

DOI: https://doi.org/10.1090/S0002-9939-1953-0056014-8

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On the derivative of a univalent function

A. J. Lohwater and George Piranian

Proc. Amer. Math. Soc. 4 (1953), 591-594

DOI: https://doi.org/10.1090/S0002-9939-1953-0056700-X

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Various remarks on univalent functions

James A. Jenkins

Proc. Amer. Math. Soc. 4 (1953), 595-599

DOI: https://doi.org/10.1090/S0002-9939-1953-0056699-6

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On functions with infinitely many derivatives

Arthur Rosenthal

Proc. Amer. Math. Soc. 4 (1953), 600-602

DOI: https://doi.org/10.1090/S0002-9939-1953-0059331-0

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Extreme points of vector functions

Samuel Karlin

Proc. Amer. Math. Soc. 4 (1953), 603-610

DOI: https://doi.org/10.1090/S0002-9939-1953-0056668-6

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Postulates for generalizations of Hilbert space

H. Rubin and M. H. Stone

Proc. Amer. Math. Soc. 4 (1953), 611-616

DOI: https://doi.org/10.1090/S0002-9939-1953-0056199-3

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Operators and initial-value problems

R. M. Redheffer

Proc. Amer. Math. Soc. 4 (1953), 617-629

DOI: https://doi.org/10.1090/S0002-9939-1953-0057465-8

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On the global behavior of differential equations on two-dimensional manifolds

Felix Haas

Proc. Amer. Math. Soc. 4 (1953), 630-636

DOI: https://doi.org/10.1090/S0002-9939-1953-0056776-X

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Hausdorff means with convex mass functions

H. S. Wall

Proc. Amer. Math. Soc. 4 (1953), 637-639

DOI: https://doi.org/10.1090/S0002-9939-1953-0057353-7

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A nonconvergent iterative process

J. H. Roberts

Proc. Amer. Math. Soc. 4 (1953), 640-644

DOI: https://doi.org/10.1090/S0002-9939-1953-0056188-9

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Local cross sections in locally compact groups

Paul S. Mostert

Proc. Amer. Math. Soc. 4 (1953), 645-649

DOI: https://doi.org/10.1090/S0002-9939-1953-0056614-5

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On the universal covering space and the fundamental group

C. W. Saalfrank

Proc. Amer. Math. Soc. 4 (1953), 650-653

DOI: https://doi.org/10.1090/S0002-9939-1953-0056918-6

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Dense imbedding of topological groups

Morikuni Goto

Proc. Amer. Math. Soc. 4 (1953), 653-655

DOI: https://doi.org/10.1090/S0002-9939-1953-0056613-3

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An equicontinuity condition for transformation groups

John D. Baum

Proc. Amer. Math. Soc. 4 (1953), 656-662

DOI: https://doi.org/10.1090/S0002-9939-1953-0056286-X

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Representation of functions as absolutely convergent Fourier-Stieltjes transforms

Edwin Hewitt

Proc. Amer. Math. Soc. 4 (1953), 663-670

DOI: https://doi.org/10.1090/S0002-9939-1953-0056734-5

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