A Refinement of Carlson's Theorem

Armen Vagharshakyan

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arXiv · 2108.12846

A Refinement of Carlson's Theorem

Armen Vagharshakyan

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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.

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Armen Vagharshakyan. 2021-08-29. A Refinement of Carlson's Theorem. https://arxiv.org/abs/2108.12846

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