5 citations · 6 across the 4 of their papers we have counts for
5 papers
Coarse equidistribution of the argument of entire functions of finite order
Fedor Nazarov, Mikhail Sodin
We present several results that show somewhat surprising equidistribution patterns in the asymptotic behaviour of the argument of entire functions of finite order.
Sign and area in nodal geometry of Laplace eigenfunctions
Fedor Nazarov, Leonid Polterovich, Mikhail Sodin
The paper deals with asymptotic nodal geometry for the Laplace-Beltrami operator on closed surfaces. Given an eigenfunction f corresponding to a large eigenvalue, we study local as…
On generalized sum rules for Jacobi matrices
F. Nazarov, F. Peherstorfer, A. Volberg +1
This work is in a stream initiated by a paper of Killip and Simon [Ann. of Math. (2003)]. Using methods of Functional Analysis and the classical Szegö Theorem we prove sum rule ide…
Lower bounds for quasianalytic functions, I. How to control smooth functions?
F. Nazarov, M. Sodin, A. Volberg
Consider a class of functions of one real variable with the following uniqueness property: if a function f(x) from the class vanishes on a set of positive measure, then f is the ze…
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.