Continuous linear right inverses for convolution operators in spaces of real analytic functions
Volume 110 / 1994
Studia Mathematica 110 (1994), 65-82
DOI: 10.4064/sm-110-1-65-82
Abstract
We determine the convolution operators $T_μ := μ*$ on the real analytic functions in one variable which admit a continuous linear right inverse. The characterization is given by means of a slowly decreasing condition of Ehrenpreis type and a restriction of hyperbolic type on the location of zeros of the Fourier transform μ̂(z).
