A. Kulikov

activity

20182025

most citedA monotonicity theorem for subharmonic functions on manifolds

6 citations · 11 across the 12 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.CA2023★ 1 cited

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…

math.CA2023

Exponential lower bound for the eigenvalues of the time-frequency localization operator before the plunge region

Aleksei Kulikov

We prove that the eigenvalues $λ_{n} (c)$ of the time-frequency localization operator satisfy $λ_{n} (c) > 1 - δ^{c}$ for $n = [(1 - ε) c]$ , where $δ = δ (ε) < 1$ and $\vare…

math.CA2023★ 6 cited

A monotonicity theorem for subharmonic functions on manifolds

Aleksei Kulikov, Fabio Nicola, Joaquim Ortega-Cerdà +1

We provide a sharp monotonicity theorem about the distribution of subharmonic functions on manifolds, which can be regarded as a new, measure theoretic form of the uncertainty prin…