E. Maximenko

activity

20152026

most citedRadial Toeplitz operators on the Fock space and square-root-slowly oscillating sequences

21 citations · 93 across the 22 of their papers we have counts for

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10 papers · 1 filter

math.FA2025

Toeplitz operators in Bergman space induced by radial measures

Egor A. Maximenko, Carlos G. Pacheco

We study radial Carleson--Bergman measures on the unit disk and the corresponding Toeplitz operators acting in the Bergman space. First, we show that such Toeplitz operators are di…

math.FA2025

Constructive approximation of convergent sequences by eigenvalue sequences of radial Toeplitz--Fock operators

Kevin Esmeral García, Egor A. Maximenko

It is well known that for every measurable function $a$ , essentially bounded on the positive halfline, the corresponding radial Toeplitz operator $T_{a}$ , acting in the Segal--Bargma…

math.FA2023★ 3 cited

Horizontal Fourier transform of the polyanalytic Fock kernel

Erick Lee-Guzmán, Egor A. Maximenko, Gerardo Ramos-Vazquez +1

Let $n, m \geq 1$ and $α > 0$ . We denote by $F_{α, m}$ the $m$ -analytic Bargmann--Segal--Fock space, i.e., the Hilbert space of all $m$ -analytic functions defined on $\mathbb{C…

math.FA2022★ 3 cited

Eigenvalues of the laplacian matrices of the cycles with one weighted edge

Sergei M. Grudsky, Egor A. Maximenko, Alejandro Soto-González

In this paper we study the eigenvalues of the laplacian matrices of the cyclic graphs with one edge of weight $α$ and the others of weight $1$ . We denote by $n$ the order of the gr…

math.FA2021★ 3 cited

Translation-invariant operators in reproducing kernel Hilbert spaces

Crispin Herrera-Yañez, Egor A. Maximenko, Gerardo Ramos-Vazquez

Let $G$ be a locally compact abelian group with a Haar measure, and $Y$ be a measure space. Suppose that $H$ is a reproducing kernel Hilbert space of functions on $G \times Y$ , such…

math.FA2021

Approximately invertible elements in non-unital normed algebras

Kevin Esmeral, Hans G. Feichtinger, Ondrej Hutník +1

We introduce a concept of approximately invertible elements in non-unital normed algebras which is, on one side, a natural generalization of invertibility when having approximate i…

math.FA2020★ 4 cited

Eigenvalues of tridiagonal Hermitian Toeplitz matrices with perturbations in the off-diagonal corners

Sergei M. Grudsky, Egor A. Maximenko, Alejandro Soto-González

In this paper we study the eigenvalues of Hermitian Toeplitz matrices with the entries $2, - 1, 0, \dots, 0, - α$ in the first column. Notice that the generating symbol depends on the or…

math.FA2020★ 1 cited

Radial operators on polyanalytic weighted Bergman spaces

Roberto Moisés Barrera-Castelán, Egor A. Maximenko, Gerardo Ramos-Vazquez

Let $μ_{α}$ be the Lebesgue plane measure on the unit disk with the radial weight $\frac{α + 1}{π} (1 - ∣ z ∣^{2})^{α}$ . Denote by $A_{n}^{2}$ the space of the $n$ -analytic functions on…

math.FA2017★ 19 cited

Eigenvalues of even very nice Toeplitz matrices can be unexpectedly erratic

Mauricio Barrera, Albrecht Boettcher, Sergei M. Grudsky +1

It was shown in a series of recent publications that the eigenvalues of $n \times n$ Toeplitz matrices generated by so-called simple-loop symbols admit certain regular asymptotic ex…

math.FA2015★ 15 cited

From convergence in distribution to uniform convergence

Johan Manuel Bogoya, Albrecht Boettcher, Egor A. Maximenko

We present conditions that allow us to pass from the convergence of probability measures in distribution to the uniform convergence of the associated quantile functions. Under thes…