S. Zagorodnyuk

activity

20092026

most citedOn the Complex Symmetric and Skew-Symmetric Operators with a Simple Spectrum

11 citations · 55 across the 38 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.FA2021

On the similarity of complex symmetric operators to perturbations of restrictions of normal operators

Sergey M. Zagorodnyuk

In this paper we consider a problem of the similarity of complex symmetric operators to perturbations of restrictions of normal operators. For a subclass of cyclic complex symmetri…

math.FA2021★ 1 cited

On the truncated multidimensional moment problems in $C^{n}$

Sergey M. Zagorodnyuk

We consider the problem of finding a (non-negative) measure $μ$ on $B (C^{n})$ such that $\int_{\mathbb{C}^n} \mathbf{z}^{\mathbf{k}} dμ(\mathbf{z}) = s_{\mathbf{k…

math.CA2021

On the generalized hypergeometric function, Sobolev orthogonal polynomials and biorthogonal rational functions

Sergey M. Zagorodnyuk

It turned out that the partial sums $g_{n} (z) = \sum_{k = 0}^{n} \frac{( a _{1} ) _{k} ... ( a _{p} ) _{k}}{( b _{1} ) _{k} ... ( b _{q} ) _{k}} \frac{z ^{k}}{k !}$ , of the generalized hypergeometric series ${}_p F_q(a_1,.…

On the similarity of complex symmetric operators to perturbations of restrictions of normal operators

On the truncated multidimensional moment problems in Cn

On the generalized hypergeometric function, Sobolev orthogonal polynomials and biorthogonal rational functions

On the truncated multidimensional moment problems in $C^{n}$