81 citations · 119 across the 36 of their papers we have counts for
7 papers · 1 filter
Radial positive definite functions and Schoenberg matrices with negative eigenvalues
L. Golinskii, M. Malamud, L. Oridoroga
The main object under consideration is a class of radial positive definite functions on which do not admit \emph{radial positive definite continuation…
Schoenberg matrices of radial positive definite functions and Riesz sequences in
L. Golinskii, M. Malamud, L. Oridoroga
Given a function on the positive half-line and a sequence (finite or infinite) of points in , we define and study matrices $\kS_X(f)=\|f(|x_i-x…
On Baxter's difference systems
Jeffrey S. Geronimo, Leonid Golinskii
We study the asymptotics of solutions of a difference system introduced by Baxter by using the general method for the asymptotic representation of such solutions due to Benzaid and…
On the Berg--Chen--Ismail theorem and the Nevanlinna-Pick problem
L. Golinskii, F. Peherstorfer, P. Yuditskiy
In 2002 C. Berg, Y. Chen, and M. Ismail found a nice relation between the determinancy of the Hamburger moment problem and asymptotic behavior of the smallest eigenvalues of the co…
Schur flows and orthogonal polynomials on the unit circle
L. Golinskii
The relation between the Toda lattices and similar nonlinear chains and orthogonal polynomials on the real line has been elaborated immensely for the last decades. We examine anoth…
Coefficients of Orthogonal Polynomials on the Unit Circle and Higher Order Szego Theorems
Leonid Golinskii, Andrej Zlatos
Let be a non-trivial probability measure on the unit circle $\partial\bbD$, the density of its absolutely continuous part, its Verblunsky coefficients, and its…