# Research interests

- Discrete harmonic analysis
- Spectral analysis of Jacobi matrices
- Orthogonal polynomials
- Random matrices

# Papers

- G. Świderski, B. Trojan –
*Orthogonal polynomials with periodically modulated recurrence coefficients in the Jordan block case II*, submitted, arXiv.
- G. Świderski, B. Trojan –
*Orthogonal polynomials with periodically modulated recurrence coefficients in the Jordan block case*, submitted, arXiv.
- G. Świderski, B. Trojan –
*About essential spectra of unbounded Jacobi matrices*, submitted, arXiv.
- G. Świderski, B. Trojan –
*Asymptotic behaviour of Christoffel–Darboux kernel via three-term recurrence relation II*, Journal of Approximation Theory 261, 105496 (2021), doi, arXiv.
- G. Świderski –
*Spectral properties of some complex Jacobi matrices*, Integral Equations and Operator Theory 92, 11 (2020), doi, arXiv.
- G. Świderski, B. Trojan –
*Asymptotic behaviour of Christoffel–Darboux kernel via three-term recurrence relation I*, Constructive Approximation 54(1), 49–116 (2021), doi, arXiv.
- G. Świderski, B. Trojan –
*Asymptotics of orthogonal polynomials with slowly oscillating recurrence coefficients*, Journal of Functional Analysis 278, Issue 3, 108326 (2020), doi, arXiv.
- G. Świderski –
*Periodic perturbations of unbounded Jacobi matrices III: The soft edge regime*, Journal of Approximation Theory 233, 1–36 (2018), doi, arXiv.
- G. Świderski –
*Spectral properties of block Jacobi matrices*, Constructive Approximation 48(2), 301–335 (2018), doi.
- G. Świderski –
*Periodic perturbations of unbounded Jacobi matrices II: Formulas for density*, Journal of Approximation Theory 216, 67–85 (2017), doi, arXiv, tests.
- G. Świderski, B. Trojan –
*Periodic perturbations of unbounded Jacobi matrices I: Asymptotics of generalized eigenvectors*, Journal of Approximation Theory 216, 38–66 (2017), doi, arXiv.
- G. Świderski –
*Spectral properties of unbounded Jacobi matrices with almost monotonic weights*, Constructive Approximation 44(1), 141–157 (2016), doi.
- R. Szwarc, G. Świderski –
*Kaczmarz algorithm with relaxation in Hilbert space*, Studia Mathematica 216(3), 237–243 (2013), pdf.

# Other

*A pseudospectral method for stochastic differential equations* (MSc thesis in computer science, in Polish), pdf, tests.