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math.CV2001
Asymptotics of the Fourier and Laplace transforms in weighted spaces of analytic functions
Vladimir Matsaev, Mikhail Sodin
We study the asymptotics near the origin of the Fourier transform in weighted Hardy spaces of analytic functions in the upper half-plane, and of the Laplace transform in weighted s…
math.CV2001
A question by Alexei Aleksandrov and logarithmic determinants
Mikhail Sodin
We answer negatively to the question posed by Aleksandrov concerning analytic functions of Smirnov's class in the unit disk with pure imaginary boundary values. We also find new su…
math.CV2001
Local dimension-free estimates for volumes of sublevel sets of analytic functions
F. Nazarov, M. Sodin, A. Volberg
This is a companion to our previous paper. Here, we derive local dimension-free estimates for volumes of sub- and super-level sets of analytic functions of several variables.