E. Lytvynov

activity

20012025

most citedOn a spectral representation for correlation measures in configuration space analysis

21 citations · 181 across the 48 of their papers we have counts for

collaborators

49 papers

math.FA2025

Lie structures of the group of Sheffer operators

Dmitri Finkelshtein, Eugene Lytvynov, Maria Joao Oliveira

Let $Φ$ be an (LB)-space over $F = R$ or $C$ , and let $Φ^{'}$ be the dual space of~ $Φ$ . We study the set $S (Φ)$ of Sheffer operators acting in polynomial…

math-ph2023

Analysis on the cone of discrete Radon measures

Dmitri Finkelshtein, Yuri Kondratiev, Peter Kuchling +2

We study analysis on the cone of discrete Radon measures over a locally compact Polish space $X$ . We discuss probability measures on the cone and the corresponding correlation meas…

math-ph2022

Particle-hole transformation in the continuum and determinantal point processes

Maryam Gharamah Ali Alshehri, Eugene Lytvynov

Let $X$ be an underlying space with a reference measure $σ$ . Let $K$ be an integral operator in $L^{2} (X, σ)$ with integral kernel $K (x, y)$ . A point process $μ$ on $X$ is called deter…

math.PR2020

Hafnian point processes and quasi-free states on the CCR algebra

Maryam Gharamah Ali Alshehri, Eugene Lytvynov

Let $X$ be a locally compact Polish space and $σ$ a nonatomic reference measure on $X$ (typically $X = R^{d}$ and $σ$ is the Lebesgue measure). Let $X^2\ni(x,y)\mapsto\mathbb K…

math.CO2020★ 14 cited

Stirling operators in spatial combinatorics

Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov +1

We define and study a spatial (infinite-dimensional) counterpart of Stirling numbers. In classical combinatorics, the Pochhammer symbol $(m)_{n}$ can be extended from a natural numbe…

math-ph2019★ 7 cited

Fock representations of multicomponent (particularly non-Abelian anyon) commutation relations

Alexei Daletskii, Alexander Kalyuzhny, Eugene Lytvynov +1

Let $H$ be a separable Hilbert space and $T$ be a self-adjoint bounded linear operator on $H^{\otimes 2}$ with norm $\leq 1$ , satisfying the Yang--Baxter equation. Bożejko and Speich…