Bepresentating systems of the space of functions holomorphic in a $(\rho,\alpha)$-convex domain

This article is a natural supplement to Chapter 5 of [8]. We show that the criterion (found earlier) of decomposability of functions holomorphic in the closure of a $(\rho,\alpha)$-convex domain $D$ into a series against a sertain special system of entire functions applies also to the functions holomorphic in $D$. Moreover, a new integral representation of entire functions is presented that enables one to construct new representating systems for the spaces of holomorphic functions $H(\overline D)$ and $H(D)$. Bibliography: 17 titles.