12 citations · 38 across the 23 of their papers we have counts for
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Asymptotics of the Eigenvalues of Two-Diagonal Jacobi Matrices
Rostyslav Kozhan
We compute the asymptotics of eigenvalues of Jacobi matrices with the zero coefficients on the main diagonal and the off-diagonal coefficients which converge to zero.
Meromorphic continuations of finite gap Herglotz functions and periodic Jacobi matrices
Rostyslav Kozhan
We find a necessary and sufficient condition for a Herglotz function to be the Borel transform of the spectral measure of an exponentially decaying perturbation of a periodic J…
Equivalence classes of block Jacobi matrices
Rostyslav Kozhan
The paper contains two results on the equivalence classes of block Jacobi matrices: first, that the Jacobi matrix of type 2 in the Nevai class has A_n coefficients converging to 1,…
Szego asymptotics for matrix-valued measures with countably many bound states
Rostyslav Kozhan
Let be a matrix-valued measure with the essential spectrum a single interval and countably many point masses outside of it. Under the assumption that the absolutely continuous…