UNIQUENESS THEOREMS FOR ANALYTIC FUNCTIONS ASYMPTOTICALLY REPRESENTABLE BY DIRICHLET-TAYLOR SERIES
M M Džrbašjan · Mathematics of the USSR-Sbornik · 1973
Dirichlet-Taylor series are considered, where is a sequence of complex numbers, is a nondecreasing sequence of positive numbers, and is the number of times ?j occurs in the segment {?1,?,?j}. An adherence principle is established for these series. As applications of this principle, uniqueness theorems are proved for analytic functions which are asymptotically representable by partial sums of Dirichlet-Taylor series in strips. Bibliography: 16 items.