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math.SP2019★ 4 cited
Spectral properties of some complex Jacobi matrices
Grzegorz Świderski
We study spectral properties of bounded and unbounded complex Jacobi matrices. In particular, we formulate conditions assuring that the spectrum of the studied operators is continu…
math.SP2019★ 9 cited
Asymptotic behaviour of Christoffel-Darboux kernel via three-term recurrence relation I
Grzegorz Świderski, Bartosz Trojan
For Jacobi parameters belonging to one of the three classes: asymptotically periodic, periodically modulated and the blend of these two, we study the asymptotic behavior of the Chr…
math.CA2019★ 15 cited
Asymptotics of orthogonal polynomials with slowly oscillating recurrence coefficients
Grzegorz Świderski, Bartosz Trojan
We study solutions of three-term recurrence relations whose -step transfer matrices belong to the uniform Stolz class. In particular, we derive the first order of their uniform…