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math.CV2021★ 1 cited
A note on a harmonic measure estimate and a conjecture of J. Velling
Alexander Fryntov
Suppose that finitely many disjoint open arcs have been selected on the unit circle, each of length less than . Let be a longest among them. One can treat the unit disk as…
math.PR2021★ 1 cited
Stability in the Marcinkiewicz theorem
Alexandre Eremenko, Alexander Fryntov
Ostrovskii's generalization of the Marcinkiewicz theorem implies that if an entire characteristic functions of a probability distribution satisfies $\log^+\log|f(z)|=o(|z|),\; z\to…