6 citations · 11 across the 12 of their papers we have counts for
15 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…
Exponential lower bound for the eigenvalues of the time-frequency localization operator before the plunge region
Aleksei Kulikov
We prove that the eigenvalues of the time-frequency localization operator satisfy for , where and $\vare…
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…
Gabor frame operator for the Cauchy kernel
Yurii Belov, Aleksei Kulikov, Yurii Lyubarskii
We obtain frame bounds estimates and the Gabor frame operator for Gabor frames generated by the Cauchy kernel. In addition we find the explicit expression for the canon…
Completeness of Certain Exponential Systems and Zeros of Lacunary Polynomials
Aleksei Kulikov, Alexander Ulanovskii, Ilya Zlotnikov
Let be a subset of . We show that if has `gaps' then the completeness and frame properties of the system differ fro…
Contractive projections in Paley-Wiener spaces
Aleksei Kulikov, Ilya Zlotnikov
Let and be disjoint finite unions of parallelepipeds. We describe necessary and sufficient conditions on the sets and exponents such that the canonical pr…
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…
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…
Irregular Gabor frames of Cauchy kernels
Yurii Belov, Aleksei Kulikov, Yurii Lyubarskii
We study the frame property of the Gabor system corresponding to an irregular lattice with a single Cauchy kernel as the generating window.
Gabor frames for rational functions
Yurii Belov, Aleksei Kulikov, Yurii Lyubarskii
We study the frame properties of the Gabor systems In particular, we prove that for Herglotz windows such s…
Spectral synthesis for exponentials and logarithmic length
Anton Baranov, Yurii Belov, Aleksei Kulikov
We study hereditary completeness of systems of exponentials on an interval such that the corresponding generating function is small outside of a lacunary sequence of intervals…
Fourier interpolation and time-frequency localization
Aleksei Kulikov
We prove that under very mild conditions for any interpolation formula we have a lower bound for the counting fun…
A contractive Hardy-Littlewood inequality
Aleksei Kulikov
We prove a contractive Hardy-Littlewood type inequality for functions from , which is sharp in the first two Taylor coefficients and asymptotically a…
On the Heins Theorem
Aleksei Kulikov
It is known that the famous Heins Theorem (also known as the de Branges Lemma) about the minimum of two entire functions of minimal type does not extend to functions of finite expo…