Müntz-Szasz type approximation and the angular growth of lacunary integral functions
Müntz-Szasz type approximation and the angular growth of lacunary integral functions
We consider analogues of the Müntz-Szasz theorem, as in [15] and [4], for functions regular in an angle. This yields necessary and sufficient conditions for the existence of integral functions which are bounded in an angle and have gaps of a very regular nature in their power series expansion. In …