Contents of Volume 5, Number 4

All articles in this issue are freely accessible.

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The Euler-Poisson-Darboux equation in the exceptional cases

E. K. Blum.
Proc. Amer. Math. Soc. 5 (1954), 511-520
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MathSciNet review: 0063543

A note on the Hamburger and Stieltjes moment problems

William T. Reid.
Proc. Amer. Math. Soc. 5 (1954), 521-525
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MathSciNet review: 0065602

Extensions of the Laplace method

D. L. Thomsen.
Proc. Amer. Math. Soc. 5 (1954), 526-532
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MathSciNet review: 0063479

Note on functions bounded and analytic in the unit circle

Makoto Ohtsuka.
Proc. Amer. Math. Soc. 5 (1954), 533-535
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MathSciNet review: 0062832

A note on linear vector spaces of mappings with positive Jacobians

Michael Golomb.
Proc. Amer. Math. Soc. 5 (1954), 536-538
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MathSciNet review: 0075413

Subharmonic functions of order $r$

Victor L. Shapiro.
Proc. Amer. Math. Soc. 5 (1954), 539-546
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MathSciNet review: 0064923

On the extensions of Bernstein polynomials to the infinite interval

P. L. Butzer.
Proc. Amer. Math. Soc. 5 (1954), 547-553
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MathSciNet review: 0063483

Fixed points of products and ordered sums of simply ordered sets

Seymour Ginsburg.
Proc. Amer. Math. Soc. 5 (1954), 554-565
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MathSciNet review: 0062809

Note on the first Cesàro mean of the derived Fourier series

R. Mohanty and M. Nanda.
Proc. Amer. Math. Soc. 5 (1954), 566-570
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MathSciNet review: 0063470

On the proof of the main Tauberian theorem for the $C_ k$-and $H_ k$-methods

Konrad Knopp.
Proc. Amer. Math. Soc. 5 (1954), 571-573
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MathSciNet review: 0064158

Kloosterman’s method in Tauberian theorems for $C_ k$ summability

Jacob Korevaar.
Proc. Amer. Math. Soc. 5 (1954), 574-577
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MathSciNet review: 0064888

An alternative proof of a theorem of Beckenbach

Edgar Reich.
Proc. Amer. Math. Soc. 5 (1954), 578-579
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MathSciNet review: 0062830

Dedekind sums and Lambert series

L. Carlitz.
Proc. Amer. Math. Soc. 5 (1954), 580-584
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MathSciNet review: 0062764

A theorem on schlicht functions

S. B. Townes.
Proc. Amer. Math. Soc. 5 (1954), 585-588
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MathSciNet review: 0062834

Square roots of operators. II

Paul R. Halmos and Günter Lumer.
Proc. Amer. Math. Soc. 5 (1954), 589-595
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MathSciNet review: 0062953

On a generalization of an inequality of Hardy, Littlewood, and Pólya

Milton Sobel.
Proc. Amer. Math. Soc. 5 (1954), 596-602
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MathSciNet review: 0063414

Representations of restricted Lie algebras of characteristic $p$

G. Hochschild.
Proc. Amer. Math. Soc. 5 (1954), 603-605
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MathSciNet review: 0066361

A simple group having no multiply transitive representation

E. T. Parker.
Proc. Amer. Math. Soc. 5 (1954), 606-611
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MathSciNet review: 0063366

On multiplicative semigroups of residue classes

E. T. Parker.
Proc. Amer. Math. Soc. 5 (1954), 612-616
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MathSciNet review: 0062732

Some remarks on $\nu$-transitive rings and linear compactness

Kenneth G. Wolfson.
Proc. Amer. Math. Soc. 5 (1954), 617-619
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MathSciNet review: 0062729

A note on rings with central nilpotent elements

I. N. Herstein.
Proc. Amer. Math. Soc. 5 (1954), 620
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MathSciNet review: 0062714

The number of locally restricted directed graphs

Leo Katz and James H. Powell.
Proc. Amer. Math. Soc. 5 (1954), 621-626
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MathSciNet review: 0062697

Every linear transformation is a sum of nonsingular ones

Daniel Zelinsky.
Proc. Amer. Math. Soc. 5 (1954), 627-630
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MathSciNet review: 0062728

A bound for a determinant with dominant main diagonal

J. L. Brenner.
Proc. Amer. Math. Soc. 5 (1954), 631-634
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MathSciNet review: 0063341

A useful theorem in matrix theory

S. N. Roy.
Proc. Amer. Math. Soc. 5 (1954), 635-638
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MathSciNet review: 0062710

Common secants for plane convex sets

V. L. Klee.
Proc. Amer. Math. Soc. 5 (1954), 639-641
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MathSciNet review: 0063684

The homology products in $K(\Pi ,n)$

Saunders MacLane.
Proc. Amer. Math. Soc. 5 (1954), 642-651
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MathSciNet review: 0063674

Local contractions of compact metric sets which are not local isometries

R. F. Williams.
Proc. Amer. Math. Soc. 5 (1954), 652-654
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MathSciNet review: 0063028

A characterization of reflexivity by the lattice of closed subspaces

E. E. Floyd and V. L. Klee.
Proc. Amer. Math. Soc. 5 (1954), 655-661
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MathSciNet review: 0063020

On combinatorial arrangements

Kulendra N. Majumdar.
Proc. Amer. Math. Soc. 5 (1954), 662-664
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MathSciNet review: 0063332

Some implications of semi-$1$-connectedness

Robert L. Plunkett.
Proc. Amer. Math. Soc. 5 (1954), 665-670
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MathSciNet review: 0063662