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math.CV2020
On Fabry's quotient theorem
Lev Buhovsky
We present a short proof of the Fabry quotient theorem, which states that for a complex power series with unit radius of convergence, if the quotient of its consecutive coefficient…
math.CV2017
Translation-invariant probability measures on entire functions
Lev Buhovsky, Adi Glucksam, Alexander Logunov +1
We study non-trivial translation-invariant probability measures on the space of entire functions of one complex variable. The existence (and even an abundance) of such measures was…