О Разложении В Ряды Экспонент Функций, Аналитических На Выпуклых Локально Замкнутых Множествах

Abstract

Let Qbe a bounded, convex, locally closed subset of CN with nonempty interior. For N>1 sufficient conditions are obtained that an operator of the representation of analytic functions on Q by exponential series has a continuous linear right inverse. For N=1 the criterions for the existence of a continuous linear right inverse for the representation operator are proved.