Interpolation Sets for the Hölder Spaces of Functions Analytic in a Strip
A. M. Kotochigov · Birkhäuser Basel eBooks · 2000
A full description of the free interpolation sets is obtained for the analytic Hölder classes in a strip in the complex plane; by a free interpolation set we mean a set such that any Hölder function on this set is the trace of some function belonging to the analytic Hölder class in the strip. A set is an interpolation set if and only if its inner part is sparse and in every boundary interval (of length less then 1) there is a “big” subinterval free from the points of the interpolation set. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.