511 citations · 899 across the 64 of their papers we have counts for
84 papers
Taylor coefficients and zeroes of entire functions of exponential type
Lior Hadassi, Mikhail Sodin
Let be an entire function of exponential type represented by the Taylor series \[ F(z) = \sum_{n\ge 0} ω_n \frac{z^n}{n!} \] with unimodular coefficients . We show tha…
Fourier uniqueness and non-uniqueness pairs
Aleksei Kulikov, Fedor Nazarov, Mikhail Sodin
Motivated by recent works by Radchenko and Viazovska and by Ramos and Sousa, we find sufficient conditions for a pair of discrete subsets of the real line to be a uniqueness or a n…
On the maximal distance between the centers of mass of a planar convex body and its boundary
Fedor Nazarov, Dmitry Ryabogin, Vladyslav Yaskin
We prove that the length of the projection of the vector joining the centers of mass of a convex body on the plane and of its boundary to an arbitrary direction does not exceed $\f…
A basic homogenization problem for the -Laplacian in perforated along a sphere: estimates
Peter V. Gordon, Fedor Nazarov, Yuval Peres
We consider a boundary value problem for the -Laplacian, posed in the exterior of small cavities that all have the same -capacity and are anchored to the unit sphere in $\mat…
On a Bellman function associated with the Chang--Wilson--Wolff theorem: a case study
Fedor Nazarov, Vasily Vasyunin, Alexander Volberg
In this paper we estimate the tail of distribution (i.e., the measure of the set ) for those functions whose dyadic square function is bounded by a given constant.…
Instantaneous smoothing and exponential decay of solutions for a degenerate evolution equation with application to Boltzmann's equation
Fedor Nazarov, Kevin Zumbrun
We establish an instantaneous smoothing property for decaying solutions on the half-line of certain degenerate Hilbert space-valued evolution equations arising in kin…