3 papers
math.FA2025
Lie structures of the group of Sheffer operators
Dmitri Finkelshtein, Eugene Lytvynov, Maria Joao Oliveira
Let be an (LB)-space over or , and let be the dual space of~. We study the set of Sheffer operators acting in polyno…
math-ph2024
Finite difference calculus in the continuum
Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov +1
The paper describes known and new results about finite difference calculus on configuration spaces. We describe finite difference geometry on configuration spaces, connect finite d…
math-ph2024
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 . We discuss probability measures on the cone and the corresponding correlation meas…