## Contents of Volume 87, Number 1

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- Fragments of many-valued statement calculi
- Alan Rose and J. Barkley Rosser PDF
- Trans. Amer. Math. Soc.
**87**(1958), 1-53

- The dependence of an axiom of Łukasiewicz
- C. A. Meredith PDF
- Trans. Amer. Math. Soc.
**87**(1958), 54

- Proof of an axiom of Łukasiewicz
- C. C. Chang PDF
- Trans. Amer. Math. Soc.
**87**(1958), 55-56

- Addendum to the paper on partially stable algebras
- A. A. Albert PDF
- Trans. Amer. Math. Soc.
**87**(1958), 57-62

- Lie simplicity of a special class of associative rings. II
- Willard E. Baxter PDF
- Trans. Amer. Math. Soc.
**87**(1958), 63-75

- Automorphisms of the Gaussian unimodular group
- Joseph Landin and Irving Reiner PDF
- Trans. Amer. Math. Soc.
**87**(1958), 76-89

- The Fourier coefficients of the invariants $j(2^{{1\over 2}}; \tau )$ and $j(3^{{1\over 2}}; \tau )$
- John Raleigh PDF
- Trans. Amer. Math. Soc.
**87**(1958), 90-107

- A functional calculus for general operators in Hilbert space
- Morris Schreiber PDF
- Trans. Amer. Math. Soc.
**87**(1958), 108-118

- A maximum principle for hyperbolic equations in a neighborhood of an initial line
- M. H. Protter PDF
- Trans. Amer. Math. Soc.
**87**(1958), 119-129

- Partial fraction decompositions and expansions of zero
- Joseph Lehner PDF
- Trans. Amer. Math. Soc.
**87**(1958), 130-143

- A device for studying Hausdorff moments
- Chandler Davis PDF
- Trans. Amer. Math. Soc.
**87**(1958), 144-158

- Interpolation of operators with change of measures
- E. M. Stein and G. Weiss PDF
- Trans. Amer. Math. Soc.
**87**(1958), 159-172

- On the deviations of the empiric distribution function of vector chance variables
- J. Kiefer and J. Wolfowitz PDF
- Trans. Amer. Math. Soc.
**87**(1958), 173-186

- Some theorems concerning $2$-dimensional Brownian motion
- Frank Spitzer PDF
- Trans. Amer. Math. Soc.
**87**(1958), 187-197

- On the analytic continuation of mapping functions
- Philip Davis and Henry Pollak PDF
- Trans. Amer. Math. Soc.
**87**(1958), 198-225

- A class of noncommutative power-associative algebras
- Robert H. Oehmke PDF
- Trans. Amer. Math. Soc.
**87**(1958), 226-236

- On the frequency of small fractional parts in certain real sequences.
- William J. LeVeque PDF
- Trans. Amer. Math. Soc.
**87**(1958), 237-260