62 citations · 675 across the 109 of their papers we have counts for
12 papers · 1 filter
One class of continuous functions related to Engel series and having complicated local properties
Oleksandr Baranovskyi, Yuri Kondratiev, Mykola Pratsiovytyi
We construct and study the class of continuous on functions with continuum set of peculiarities (singular, nowhere monotonic, and non-differentiable functions are among th…
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…
Ground States for Nonlocal Schrödinger Type Operators on Locally Compact Abelian Groups
Anatoly N. Kochubei, Yuri Kondratiev
We find classes of nonlocal operators of Schrödinger type on a locally compact noncompact Abelian group , for which there exists a ground state. In particular, such a result is…
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…
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…
Establishment and Fecundity in Spatial Ecological Models: Statistical Approach and Kinetic Equations
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy
We consider spatial population dynamics given by Markov birth-and-death process with constant mortality and birth influenced by establishment or fecundity mechanisms. The independe…