Abstract
We collect several applications of a new version of the classical Szegő formula for orthogonal polynomials. The applications are concerned with the spectral theory of Krein strings, scattering theory for Dirac systems, and triangular factorizations of positive Wiener–Hopf operators.
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References
R.V. Bessonov, S.A. Denisov, A spectral Szegő theorem on the real line. Adv. Math. 359, 1–41 (2020)
R.V. Bessonov, Wiener-Hopf operators admit triangular factorization. J. Oper. Theory 82(1), 237–249 (2019)
R.V. Bessonov, Szegő condition and scattering for one-dimensional Dirac operators. Constr. Approx. 51, 273–302 (2020)
R.V. Bessonov, S.A. Denisov, Zero sets, entropy, and pointwise asymptotics of orthogonal polynomials. Arxiv preprint arXiv:1911.11280
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The work is supported by grant RScF 19-11-00058.
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Bessonov, R., Denisov, S. (2021). A New Life of the Classical Szegő Formula. In: Abakumov, E., Baranov, A., Borichev, A., Fedorovskiy, K., Ortega-Cerdà, J. (eds) Extended Abstracts Fall 2019. Trends in Mathematics(), vol 12. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-74417-5_5
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DOI: https://doi.org/10.1007/978-3-030-74417-5_5
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