Title: Extremal problems in the theory of analytic continuation
Authors: A. Yu. Popov
Journal title: Sbornik: Mathematics
A. Yu. Popov, “Extremal problems in the theory of analytic continuation”, Sbornik: Mathematics, 1999, 190:5, 737–761
For an exponential series with positive exponents making up a sequence of positive step Mandelbrojt's estimates of the length of a strip in which this series can be continued are improved. On the way, an estimate of the Leont'ev condensation index is obtained which is best possible in the class of sequences of fixed step and fixed upper density.
MathNet (ENG): http://mi.mathnet.ru/eng/msb404