V. Katsnelson

activity

20032017

most citedContributions of Issai Schur to Analysis

19 citations · 29 across the 18 of their papers we have counts for

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Showing 2016Show all

4 papers · 1 filter

math.CA2016

On a special case of the Herbert Stahl theorem

Victor Katsnelson

The BMV conjecture states that for $n \times n$ Hermitian matrices $A$ and $B$ the function $f_{A, B} (t) = t r a ce e^{t A + B}$ is exponentially convex. Recently the BMV conjecture was…

math.CA2016

On the roots of a hyperbolic polynomial pencil

Victor Katsnelson

Let $ν_{0} (t), ν_{1} (t), \dots, ν_{n} (t)$ be the roots of the equation $R (z) = t$ , where $R (z)$ is a rational function of the form \[R(z)=z+\sum\limits_{k=1}^n\frac{α_k}{z-μ_k},\] $μ_{k}$ …

math.FA2016

Self-adjoint boundary conditions for the prolate spheroid differential operator

Victor Katsnelson

We consider the formal prolate spheroid differential operator on a finite symmetric interval and describe all its self-adjoint boundary conditions. Only one of these boundary condi…

math.CV2016

On measures which generate the scalar product in a space of rational functions

Victor Katsnelson

Let $z_{1}, z_{2}, \dots, z_{n}$ be pairwise different points of the unit disc and $L (z_{1}, z_{2}, \dots z_{n})$ be the linear space generated by the rational fractions $\frac{1…