E. Maximenko

works on

complex plane 1 eigenvalue asymptotics 1 numerical verification 1 spectral analysis 1 toeplitz matrices 1

From the 1 of 7 linked papers with an AI index.

activity

20242026

collaborators

7 papers

math.SP2026

Eigenvalues of the tetradiagonal Toeplitz matrices with diagonals 1, 0, 0, 1

Sergei M. Grudsky, RomÃ¡n Higuera-GarcÃa, Egor A. Maximenko +1

The paper studies the eigenvalues of large tetradiagonal Toeplitz matrices generated by the Laurent polynomial t²+t⁻¹, deriving asymptotic formulas for their distribution and confi…

math.SP2026

Eigenvalues of one family of tridiagonal skew-self-adjoint Toeplitz matrices with complex perturbations on the corner

C. Bernardin, S. M. Grudsky, E. A. Maximenko +1

In this paper, we study the eigenvalues of the matrices $T_{n} (a) + I^^{3} E_{n, 1, 1}$ where $T_{n} (a)$ is the Toeplitz matrix with generating symbol $a (t) = t - t^{- 1}$ , $E_{n, 1, 1}$ is the $n\tim…

math.MG2026

Locally similar distances and equality of the induced intrinsic distances

Erick Lee-GuzmÃ¡n, Egor A. Maximenko, Enrique Abdeel MuÃ±oz-de-la-Colina +1

Let $X$ be a set and $d_{1}, d_{2}$ be two distances on $X$ . We say that $d_{1}$ and $d_{2}$ are locally similar and write $d_{1} ≅ d_{2}$ if $d_{1}$ and $d_{2}$ are topologically equivalent and…

math.OA2025

Integral representation of translation-invariant operators on reproducing kernel Hilbert spaces

Shubham R. Bais, Egor A. Maximenko, D. Venku Naidu

We suppose that $G$ is a locally compact abelian group, $Y$ is a measure space, and $H$ is a reproducing kernel Hilbert space on $G \times Y$ such that $H$ is naturally embedded int…

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 GarcÃa, 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…