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math.CV2026

A measurable equivariant Weierstrass theorem

Konstantin Slutsky, Mikhail Sodin, Aron Wennman

This paper is a prequel to our recent work, "Equivariant Borel liftings in complex analysis and PDE" (arXiv:2507.12058). While the results presented here were established in that w…

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…