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math.CA2003
Lower bounds for quasianalytic functions, II. The Bernstein quasianalytic functions
Alexander Borichev, Fedor Nazarov, Mikhail Sodin
Let F be a class of functions with the uniqueness property: if a function f in F vanishes on a set of positive measure, then f is the zero function. In many instances, we would lik…
math.CA2002
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…
math.CA2001
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…