On Uniform Interpolation Sets

By J. P. Earl

University of Kent

In the paper referred to in the title (these Proceedings 62 (1966), 721–742) the value of a constant used in the statement of several of the theorems is incorrect. Due to the erroneous appearance of a factor ¼ρ2 in the proof of Theorem 3 (penultimate equation of section 5), the value, or range of values, of τ should in fact be 4/ρ2 times the stated value.

There are also some misprints which escaped earlier detection. In the reference of Theorem A d = 0 should read d = D and in the second line of Proof of Theorem 3 Un should be defined by Un ≡ |z − zn| ≤ Δ |zn|1−½ρ. The right-hand side of equation (5.2) should be multiplied by σM, N(z).