Proceedings of the American Mathematical Society

Contents of Volume 1, Number 5
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A basis for free Lie rings and higher commutators in free groups

Marshall Hall

Proc. Amer. Math. Soc. 1 (1950), 575-581

DOI: https://doi.org/10.1090/S0002-9939-1950-0038336-7

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Infinite-dimensional irreducible representations of certain groups

F. I. Mautner

Proc. Amer. Math. Soc. 1 (1950), 582-584

DOI: https://doi.org/10.1090/S0002-9939-1950-0039728-2

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A note on the characteristic polynomials of certain matrices

William T. Reid

Proc. Amer. Math. Soc. 1 (1950), 584-585

DOI: https://doi.org/10.1090/S0002-9939-1950-0039685-9

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On the matric equation $X^ 2+AX+XB+C=0$

William E. Roth

Proc. Amer. Math. Soc. 1 (1950), 586-589

DOI: https://doi.org/10.1090/S0002-9939-1950-0038930-3

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Some remarks on a theorem of Erdös concerning asymptotic density

Harold N. Shapiro

Proc. Amer. Math. Soc. 1 (1950), 590-592

DOI: https://doi.org/10.1090/S0002-9939-1950-0038366-5

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Certain best possible results in the theory of Schnirelmann density

Benjamin Lepson

Proc. Amer. Math. Soc. 1 (1950), 592-594

DOI: https://doi.org/10.1090/S0002-9939-1950-0038367-7

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A note on isothermal nets

V. G. Grove

Proc. Amer. Math. Soc. 1 (1950), 595-599

DOI: https://doi.org/10.1090/S0002-9939-1950-0038701-8

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Deformation theory of subspaces in a Riemann space

V. Hlavatý

Proc. Amer. Math. Soc. 1 (1950), 600-617

DOI: https://doi.org/10.1090/S0002-9939-1950-0038120-4

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Remarks on certain pathological open subsets of $3$-space and their fundamental groups

W. A. Blankinship and R. H. Fox

Proc. Amer. Math. Soc. 1 (1950), 618-624

DOI: https://doi.org/10.1090/S0002-9939-1950-0042120-8

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Some limiting distributions related to the sum of a random number of random variables

Edward Paulson

Proc. Amer. Math. Soc. 1 (1950), 625-629

DOI: https://doi.org/10.1090/S0002-9939-1950-0038590-1

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Bounds for the coefficients of univalent functions

Aryeh Dvoretzky

Proc. Amer. Math. Soc. 1 (1950), 629-635

DOI: https://doi.org/10.1090/S0002-9939-1950-0037909-5

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Limiting values of subharmonic functions

Elmer Tolsted

Proc. Amer. Math. Soc. 1 (1950), 636-647

DOI: https://doi.org/10.1090/S0002-9939-1950-0039862-7

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Generalization of a theorem of Osgood to the case of continuous approximation

A. M. Ostrowski

Proc. Amer. Math. Soc. 1 (1950), 648-649

DOI: https://doi.org/10.1090/S0002-9939-1950-0042500-0

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Uniform approximations to a class of Bessel functions

Alfred M. Peiser

Proc. Amer. Math. Soc. 1 (1950), 650-661

DOI: https://doi.org/10.1090/S0002-9939-1950-0045257-2

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Banach-Hausdorff limits

W. F. Eberlein

Proc. Amer. Math. Soc. 1 (1950), 662-665

DOI: https://doi.org/10.1090/S0002-9939-1950-0038009-0

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Proof of a theorem of Jacobi

N. J. Fine

Proc. Amer. Math. Soc. 1 (1950), 666-667

DOI: https://doi.org/10.1090/S0002-9939-1950-0038397-5

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A remark on the moduli of Riemann surfaces of genus $2$

P. R. Garabedian

Proc. Amer. Math. Soc. 1 (1950), 668-673

DOI: https://doi.org/10.1090/S0002-9939-1950-0039073-5

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The representation of real numbers

O. W. Rechard

Proc. Amer. Math. Soc. 1 (1950), 674-681

DOI: https://doi.org/10.1090/S0002-9939-1950-0042459-6

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The nonlinear differential equation $y''+p(x)y+cy^ {-3}=0$

Edmund Pinney

Proc. Amer. Math. Soc. 1 (1950), 681

DOI: https://doi.org/10.1090/S0002-9939-1950-0037979-4

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The Green’s function for the rectangle obtained by the finite Fourier transformations

A. W. Jacobson

Proc. Amer. Math. Soc. 1 (1950), 682-686

DOI: https://doi.org/10.1090/S0002-9939-1950-0037991-5

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On the two-dimensional derivative of a complex function

Vincent C. Poor

Proc. Amer. Math. Soc. 1 (1950), 687-693

DOI: https://doi.org/10.1090/S0002-9939-1950-0037368-2

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Note on preservation of measurability

Roy B. Leipnik

Proc. Amer. Math. Soc. 1 (1950), 694

DOI: https://doi.org/10.1090/S0002-9939-1950-0037895-8

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A note on interpolation

George Klein

Proc. Amer. Math. Soc. 1 (1950), 695-702

DOI: https://doi.org/10.1090/S0002-9939-1950-0039090-5

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