3 papers
math.CA2026
On the orthogonality of solutions for higher-order non-Hermitian difference equations
Sergey M. Zagorodnyuk
In this paper we study higher-order difference equations which can be written as follows: where is a -…
math.CA2025
An analytical parameterization for all solutions of the two-dimensional moment problem under Carleman-type conditions
Sergey M. Zagorodnyuk
The two-dimensional moment problem consists of finding a positive Borel measure in such that , , wh…
math.CA2024
The truncated multidimensional moment problem: canonical solutions
Sergey M. Zagorodnyuk
For the truncated multidimensional moment problem we introduce a notion of a canonical solution. Namely, canonical solutions are those solutions which are generated by commuting se…