## Contents of Volume 83, Number 2

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- Rings of analytic and meromorphic functions
- H. L. Royden PDF
- Trans. Amer. Math. Soc.
**83**(1956), 269-276

- Recursive and recursively enumerable orders
- H. G. Rice PDF
- Trans. Amer. Math. Soc.
**83**(1956), 277-300

- Duality in products of groups with operators
- J. W. Ellis PDF
- Trans. Amer. Math. Soc.
**83**(1956), 301-312

- Convergence of martingales with a directed index set
- K. Krickeberg PDF
- Trans. Amer. Math. Soc.
**83**(1956), 313-337

- The critical points of Peano-interior functions defined on $2$-manifolds
- William C. Fox PDF
- Trans. Amer. Math. Soc.
**83**(1956), 338-370

- Least $p$th power polynomials on a finite point set
- T. S. Motzkin and J. L. Walsh PDF
- Trans. Amer. Math. Soc.
**83**(1956), 371-396

- Characterization of a continuous geometry within the unit group
- Gertrude Ehrlich PDF
- Trans. Amer. Math. Soc.
**83**(1956), 397-416

- Necessary and sufficient conditions for Carlsonâ€™s theorem on entire functions
- L. A. Rubel PDF
- Trans. Amer. Math. Soc.
**83**(1956), 417-429

- Algebraic logic. III. Predicates, terms, and operations in polyadic algebras
- Paul R. Halmos PDF
- Trans. Amer. Math. Soc.
**83**(1956), 430-470

- Compact homogeneous almost complex spaces of positive characteristic
- Robert Hermann PDF
- Trans. Amer. Math. Soc.
**83**(1956), 471-481

- Interpolation of linear operators
- Elias M. Stein PDF
- Trans. Amer. Math. Soc.
**83**(1956), 482-492

- On the projection geometry of a finite $AW^ *$-algebra
- S. K. Berberian PDF
- Trans. Amer. Math. Soc.
**83**(1956), 493-509

- On generalized Witt algebras
- Rimhak Ree PDF
- Trans. Amer. Math. Soc.
**83**(1956), 510-546

- Congruences in algebraic number fields involving sums of similar powers
- Eckford Cohen PDF
- Trans. Amer. Math. Soc.
**83**(1956), 547-566