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Seminar on Analysis, Differential Equations and Mathematical Physics
December 14, 2023 18:00–19:00, Rostov-on-Don, online, ссылка для подключения на странице семинара
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Orthogonal polynomials. Fourier series in orthogonal polynomials. Trace formula and asymptotics of Forsythe determinant.
B. P. Osilenker
Moscow State University of Civil Engineering
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Abstract:
The following issues will be outlined:
- Systems of polynomials $\{ p_n (x) \}$ $(n\in\mathbb{Z}^+$) orthogonal to a measure and systems of Sobolev polynomials $\{ \hat q_n (x) \}$ $(n\in\mathbb{Z}^+$).
- Fourier series on systems $\{ p_n (x) \}$ and $\{ \hat q_n (x) \}$.
- Trace formula and asymptotics of the Forsythe determinant.
Language: English
Website:
https://msrn.tilda.ws/sl
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