Orthogonal polynomials. Fourier series in orthogonal polynomials. Trace formula and asymptotics of Forsythe determinant. - presented by Boris Osilenker

Orthogonal polynomials. Fourier series in orthogonal polynomials. Trace formula and asymptotics of Forsythe determinant.

Boris Osilenker

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Orthogonal polynomials. Fourier series in orthogonal polynomials. Trace formula and asymptotics of Forsythe determinant.
BO
Boris Osilenker

The following issues will be outlined:

  1. Systems of polynomials {𝑝𝑛(𝑥)}(n∈ℤ+) orthogonal to a measure and systems of Sobolev polynomials {𝑞𝑛(𝑥)}(n ∈ ℤ+).
  2. Fourier series on systems and {𝑝𝑛(𝑥)} and {𝑞𝑛(𝑥)}.
  3. Trace formula and asymptotics of the Forsythe determinant.
References
  • 1.
    https://openlibrary.org/isbn/9810237871
  • 2.
    B. P. Osilenker (2020) Generalized Trace Formula for Polynomials Orthogonal in Continuous-Discrete Sobolev Spaces. Functional Analysis and Its Applications
  • 3.
    B. P. Osilenker (2022) A NEW APPROACH TO THE GENERALIZED TRACE FORMULA AND ASYMPTOTICS OF TURÁN’S DETERMINANT FOR POLYNOMIALS WITH ASYMPTOTICALLY N-PERIODIC RECURRENCE COEFFICIENTS. Journal of Mathematical Sciences
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Cite as
B. Osilenker (2023, December 14), Orthogonal polynomials. Fourier series in orthogonal polynomials. Trace formula and asymptotics of Forsythe determinant.
DOI
doi.org/10.52843/cassyni.nbx9s6
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Video length 56:20
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