THE PROBLEM OF MULTIPLE INTERPOLATION IN THE HALF-PLANE IN THE CLASS OF ANALYTIC FUNCTIONS OF FINITE ORDER AND NORMAL TYPE

Abstract

The problem of multiple interpolation is considered in the class of functions of at most normal type for the proximate order in the upper half-plane : , , , where the divisor has limit points only on the real axis, and the numbers satisfy the condition The following result is valid.Theorem 1. is an interpolation divisor in the class if and only if where is the canonical product of the set .Necessary and sufficient conditions are also found in terms of the measure determined by the divisor : .Bibliography: 10 titles.