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math.CV2025
Norms of Chebyshev and Faber polynomials on curves with corners and cusps
Erwin Miña-Díaz, Olof Rubin, Aron Wennman
We prove that the th Chebyshev polynomial of a piecewise Dini-smooth Jordan curve satisfies \[ \lim_{n\to\infty}\frac{\|T_{n}\|_Γ}{\mathrm{cap}(Γ)^n}=1, \] where $\|…
math.CV2024
Asymptotics of Bergman polynomials for domains with reflection-invariant corners
Erwin Miña-Díaz, Aron Wennman
We study the asymptotic behavior of the Bergman orthogonal polynomials for a class of bounded simply connected domains . The class is defined by the requi…