Transactions of the American Mathematical Society

Contents of Volume 74, Number 2
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An indirect sufficiency proof for the problem of Lagrange with differential inequalities as added side conditions

Louis L. Pennisi

Trans. Amer. Math. Soc. 74 (1953), 177-198

DOI: https://doi.org/10.1090/S0002-9947-1953-0052706-X

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Perturbation theory for semi-groups of linear operators

R. S. Phillips

Trans. Amer. Math. Soc. 74 (1953), 199-221

DOI: https://doi.org/10.1090/S0002-9947-1953-0054167-3

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The mathematics of second quantization

J. M. Cook

Trans. Amer. Math. Soc. 74 (1953), 222-245

DOI: https://doi.org/10.1090/S0002-9947-1953-0053784-4

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On Pólya frequence functions. III. The positivity of translation determinants with an application to the interpolation problem by spline curves

I. J. Schoenberg and Anne Whitney

Trans. Amer. Math. Soc. 74 (1953), 246-259

DOI: https://doi.org/10.1090/S0002-9947-1953-0053177-X

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On $n$-dimensional Riemannian spaces admitting a group of motions of order $n(n-1)/2+1$

Kentaro Yano

Trans. Amer. Math. Soc. 74 (1953), 260-279

DOI: https://doi.org/10.1090/S0002-9947-1953-0052860-X

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Continuity properties of sample functions of Markov processes

J. R. Kinney

Trans. Amer. Math. Soc. 74 (1953), 280-302

DOI: https://doi.org/10.1090/S0002-9947-1953-0053428-1

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Linear functions on almost periodic functions

Edwin Hewitt

Trans. Amer. Math. Soc. 74 (1953), 303-322

DOI: https://doi.org/10.1090/S0002-9947-1953-0054169-7

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On commutative power-associative algebras of degree two

A. A. Albert

Trans. Amer. Math. Soc. 74 (1953), 323-343

DOI: https://doi.org/10.1090/S0002-9947-1953-0052409-1

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A unified space for mappings

G. T. Whyburn

Trans. Amer. Math. Soc. 74 (1953), 344-350

DOI: https://doi.org/10.1090/S0002-9947-1953-0052762-9

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Representations of prime rings

R. E. Johnson

Trans. Amer. Math. Soc. 74 (1953), 351-357

DOI: https://doi.org/10.1090/S0002-9947-1953-0053917-X

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Classes of recursively enumerable sets and their decision problems

H. G. Rice

Trans. Amer. Math. Soc. 74 (1953), 358-366

DOI: https://doi.org/10.1090/S0002-9947-1953-0053041-6

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