A Refinement of Carlson's Theorem
Complex Variables
2021-08-31 v1
Abstract
Carlson's theorem estimates the growth of an analytic function along the imaginary axis, provided that the function is zero at non-negative integers. We refine this theorem and describe not only the function's growth but also necessary and sufficient conditions in terms of its spectral measure.
Cite
@article{arxiv.2108.12846,
title = {A Refinement of Carlson's Theorem},
author = {Armen Vagharshakyan},
journal= {arXiv preprint arXiv:2108.12846},
year = {2021}
}