5 citations · 11 across the 8 of their papers we have counts for
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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…
Diffeomorphisms with an anomalous growth of the differential
Leonid Polterovich, Mikhail Sodin
The paper is withdrawn.
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…
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.
The geometric Kannan-Lovasz-Simonovits lemma, dimension-free estimates for volumes of sublevel sets of polynomials, and distribution of zeroes of random analytic functions
F. Nazarov, M. Sodin, A. Volberg
The goal of this paper is to attract attention of the reader to a dimension-free geometric inequality that can be proved using the classical needle decomposition. This inequality a…