62 citations · 367 across the 47 of their papers we have counts for
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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 polynomial…
Sheffer homeomorphisms of spaces of entire functions in infinite dimensional analysis
Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov +2
For certain Sheffer sequences on , Grabiner (1988) proved that, for each , the corresponding Sheffer operator extends…
Row-finite systems of ordinary differential equations in a scale of Banach spaces
Alexei Daletskii, Dmitri Finkelshtein
Motivated by the study of dynamics of interacting spins for infinite particle systems, we consider an infinite family of first order differential equations in a Euclidean space, pa…
An infinite dimensional umbral calculus
Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov +1
The aim of this paper is to develop foundations of umbral calculus on the space of distributions on , which leads to a general theory of Sheffer polynomi…
Around Ovsyannikov's method
Dmitri Finkelshtein
We study existence, uniqueness, and a limiting behaviour of solutions to an abstract linear evolution equation in a scale of Banach spaces. The generator of the equation is a pertu…
Statistical dynamics of continuous systems: perturbative and approximative approaches
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy
We discuss general concept of Markov statistical dynamics in the continuum. For a class of spatial birth-and-death models, we develop a perturbative technique for the construction…