19 citations · 43 across the 31 of their papers we have counts for
34 papers
A functional model for the Fourier--Plancherel operator truncated on the positive half-axis
Victor Katsnelson
The truncated Fourier operator , $$ (\mathscr{F}_{\mathbb{R^{+}}}x)(t)=\frac{1}{\sqrt{2π}} \int\limits_{\mathbb{R^{+}}}x(ξ)e^{itξ}\,dξ\,,\ \ \ t\in{}{…
The Integral Transform of N.I.Akhiezer
Victor Katsnelson
We study the integral transform which appeared in a different form in Akhiezer's textbook "Lectures on Integral Transforms".
The matrix function is representable as the Laplace transform of a matrix measure
Victor Katsnelson
Given a pair of matrices of size , we consider the matrix function of the variable . If the matrix is Hermitian, the matrix function…
On a special case of the Herbert Stahl theorem
Victor Katsnelson
The BMV conjecture states that for Hermitian matrices and the function is exponentially convex. Recently the BMV conjecture was…
On the roots of a hyperbolic polynomial pencil
Victor Katsnelson
Let be the roots of the equation , where is a rational function of the form \[R(z)=z+\sum\limits_{k=1}^n\frac{α_k}{z-μ_k},\] …
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…