In this paper, we prove that analytic functions in a half plane with some restricted growth can be represented by a sum of its weighted Blaschke product and of its integral on the boundary the half plane; this improves the classical result about the exponential analytic functions in a half-plane.
Guan Tie DENG.
Integral Representation of Analytic Functions in Half-Plane. Acta Mathematica Sinica, Chinese Series, 2005, 48(3): 489-492 https://doi.org/10.12386/A2005sxxb0058