A. Kulikov

activity

20182025

most citedA monotonicity theorem for subharmonic functions on manifolds

6 citations · 9 across the 9 of their papers we have counts for

collaborators

Showing 2022Show all

5 papers · 1 filter

math.CV2022

Gabor frame operator for the Cauchy kernel

Yurii Belov, Aleksei Kulikov, Yurii Lyubarskii

We obtain frame bounds estimates and the Gabor frame operator $S = S^{α, β}$ for Gabor frames generated by the Cauchy kernel. In addition we find the explicit expression for the canon…

math.CA2022

Completeness of Certain Exponential Systems and Zeros of Lacunary Polynomials

Aleksei Kulikov, Alexander Ulanovskii, Ilya Zlotnikov

Let $Γ$ be a subset of ${0, 1, 2, ...}$ . We show that if $Γ$ has `gaps' then the completeness and frame properties of the system ${t^{k} e^{2 π in t} : n \in Z, k \in Γ}$ differ fro…

math.FA2022

Contractive projections in Paley-Wiener spaces

Aleksei Kulikov, Ilya Zlotnikov

Let $S_{1}$ and $S_{2}$ be disjoint finite unions of parallelepipeds. We describe necessary and sufficient conditions on the sets $S_{1}, S_{2}$ and exponents $p$ such that the canonical pr…

math.CV2022

Functionals with extrema at reproducing kernels

Aleksei Kulikov

We show that certain monotone functionals on the Hardy spaces and convex functionals on the Bergman spaces are maximized at the normalized reproducing kernels among the functions o…

math.CA2022

On Gaussian decay rates of harmonic oscillators and equivalences of related Fourier uncertainty principles

Aleksei Kulikov, Lucas Oliveira, João P. G. Ramos

We make progress on a question by Vemuri on the optimal Gaussian decay of harmonic oscillators, proving the original conjecture up to an arithmetic progression of times. The techni…