On аа interpolation problem in a class of entire functions of completely regular growth

Given a proximate order $\rho(r)$ and an indicator $H(\theta)$ we describe interpolating sequences for the class of all entire functions $f$ of proximate order $\rho$ whose indicator $H_f(\theta)$ is majorired by $H(\theta)$. The description is based on a modification of well-known Barl's approach.