arXiv subjects

Grzegorz Świderski

Publications and source records attributed to Grzegorz Świderski.

20 records · Page 2Linked to original sources

arXiv2016

Periodic perturbations of unbounded Jacobi matrices II: Formulas for density

We give formulas for the density of the measure of orthogonality for orthonormal polynomials with unbounded recurrence coefficients. The formulas involve limits of appropriately scaled Turán determinants or Christoffel functions. Exact asymptotics of the polynomials and numerical examples are also provided.

math.CA↗

arXiv2015

Spectral properties of unbounded Jacobi matrices with almost monotonic weights

We present an unified framework to identify spectra of Jacobi matrices. We give applications to long-standing conjecture of Chihara concerning one-quarter class of orthogonal polynomials, to the conjecture posed by Roehner and Valent concerning continuous spectra of generators of birth and death processes and to spectral properties of operators studied by Janas, Moszyński and Pedersen.

math.SP↗