Contents of Volume 2, Number 5

All articles in this issue are freely accessible.

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On Rouché’s theorem and the integral-square measure of approximation

J. L. Walsh.
Proc. Amer. Math. Soc. 2 (1951), 671-681
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MathSciNet review: 0043892

Note on the location of the critical points of a real rational function

J. L. Walsh.
Proc. Amer. Math. Soc. 2 (1951), 682-685
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MathSciNet review: 0044626

A theorem for kernel functions

Philip Davis and Henry Pollak.
Proc. Amer. Math. Soc. 2 (1951), 686-690
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MathSciNet review: 0043902

Remark on the Hurwitz zeta function

T. M. Apostol.
Proc. Amer. Math. Soc. 2 (1951), 690-693
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MathSciNet review: 0043842

Some theorems on meromorphic functions

S. M. Shah.
Proc. Amer. Math. Soc. 2 (1951), 694-698
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MathSciNet review: 0043897

Linear difference equations with periodic coefficients

Adaikalam A. Gnanadoss.
Proc. Amer. Math. Soc. 2 (1951), 699-703
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MathSciNet review: 0044721

Self-adjoint factorizations of differential operators

Kenneth S. Miller.
Proc. Amer. Math. Soc. 2 (1951), 704-705
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MathSciNet review: 0043983

On the integration scheme of Maréchal

Emil Grosswald.
Proc. Amer. Math. Soc. 2 (1951), 706-709
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MathSciNet review: 0043153

On the density theorem

A. Papoulis.
Proc. Amer. Math. Soc. 2 (1951), 709-717
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MathSciNet review: 0043864

Polynomial iterations to roots of algebraic equations

Alston S. Householder.
Proc. Amer. Math. Soc. 2 (1951), 718-719
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MathSciNet review: 0043261

A nonabsolute basis for Hilbert space

B. Gelbaum.
Proc. Amer. Math. Soc. 2 (1951), 720-721
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MathSciNet review: 0043383

An extension of a result of Liapounoff on the range of a vector measure

Herman Chernoff.
Proc. Amer. Math. Soc. 2 (1951), 722-726
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MathSciNet review: 0044609

Approximate isometries in bounded spaces

R. L. Swain.
Proc. Amer. Math. Soc. 2 (1951), 727-729
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MathSciNet review: 0044114

A note on the summability of infinite series by sequence to sequence and series to sequence transformations

O. W. Rechard.
Proc. Amer. Math. Soc. 2 (1951), 730-731
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MathSciNet review: 0043919

On the distribution of the values of the partial sums of a Taylor series

V. F. Cowling.
Proc. Amer. Math. Soc. 2 (1951), 732-738
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MathSciNet review: 0047131

Norms of matrix type for the spaces of convergent and bounded sequences

Albert Wilansky.
Proc. Amer. Math. Soc. 2 (1951), 738-741
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MathSciNet review: 0044027

The use of bilinear mappings in the classification of groups of class $2$

N. J. S. Hughes.
Proc. Amer. Math. Soc. 2 (1951), 742-747
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MathSciNet review: 0045110

A short proof of an identity of Euler

Daniel Shanks.
Proc. Amer. Math. Soc. 2 (1951), 747-749
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MathSciNet review: 0043808

On the representation of integers by sums of polynomials

L. Kuipers.
Proc. Amer. Math. Soc. 2 (1951), 750-752
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MathSciNet review: 0043806

Functions which represent prime numbers

Ivan Niven.
Proc. Amer. Math. Soc. 2 (1951), 753-755
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MathSciNet review: 0043804

A general dependence relation for lattices

Daniel T. Finkbeiner.
Proc. Amer. Math. Soc. 2 (1951), 756-759
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MathSciNet review: 0043069

Systems of Diophantine equations

A. A. Aucoin.
Proc. Amer. Math. Soc. 2 (1951), 760-765
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MathSciNet review: 0043811

A Boolean algebra without proper automorphisms

Bjarni Jónsson.
Proc. Amer. Math. Soc. 2 (1951), 766-770
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MathSciNet review: 0043068

The Wedderburn principal theorem in Banach algebras

Chester Feldman.
Proc. Amer. Math. Soc. 2 (1951), 771-777
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MathSciNet review: 0044042

A characterization of simply connected closed arcwise convex sets

F. A. Valentine.
Proc. Amer. Math. Soc. 2 (1951), 778-780
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MathSciNet review: 0044113

Convex bodies associated with a convex body

Preston C. Hammer.
Proc. Amer. Math. Soc. 2 (1951), 781-793
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MathSciNet review: 0052802

Families of Lorentzian matrices

C. C. MacDuffee.
Proc. Amer. Math. Soc. 2 (1951), 794-797
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MathSciNet review: 0043855

Recurrence and incompressibility

Charles W. Williams.
Proc. Amer. Math. Soc. 2 (1951), 798-806
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MathSciNet review: 0043394

On the embedding of topological semigroups and integral domains

B. Gelbaum, G. K. Kalisch and J. M. H. Olmsted.
Proc. Amer. Math. Soc. 2 (1951), 807-821
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MathSciNet review: 0043109

Two-dimensional subgroups

Deane Montgomery and Leo Zippin.
Proc. Amer. Math. Soc. 2 (1951), 822-838
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MathSciNet review: 0047669

A note of correction

Edwin E. Moise.
Proc. Amer. Math. Soc. 2 (1951), 838
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MathSciNet review: 0043454