G. Alpan

collaborators

4 papers

math.CA2026

A four-way Szegő theorem for $L^{p}$ extremal polynomials on subsets of $R$

Gökalp Alpan, Maxim Zinchenko

We prove a four-way Szegő theorem for $L^{p}$ extremal polynomials on compact supports $K = K_{0} \cup X \subset R$ , where $K_{0}$ is a regular compact set and $X$ is a finite or coun…

math.CV2025

Unbounded Widom factors for orthogonal and residual polynomials

GÃ¶kalp Alpan

We study Widom factors for (a) monic orthogonal polynomials in $L^{2}$ with respect to the equilibrium measure of a compact set $K \subset R$ and (b) residual polynomials norm…

math.CV2025

Widom factors in $C^{n}$

GÃ¶kalp Alpan, Turgay Bayraktar, Norm Levenberg

We generalize the theory of Widom factors to the $C^{n}$ setting. We define Widom factors of compact subsets $K \subset C^{n}$ associated with multivariate orthogonal po…

math.PR2025

Multiplicative non-Hermitian perturbations of classical $I^^{2}$ -ensembles

GÃ¶kalp Alpan, Rostyslav Kozhan

We compute the joint eigenvalue distribution for a multiplicative non-Hermitian perturbation $(I + i I^) H$ , $rank I^ = 1$ of a random matrix $H$ from the Gaussian, Lague…

A four-way Szegő theorem for Lp extremal polynomials on subsets of R

Unbounded Widom factors for orthogonal and residual polynomials

Widom factors in Cn

Multiplicative non-Hermitian perturbations of classical I^2-ensembles

A four-way Szegő theorem for $L^{p}$ extremal polynomials on subsets of $R$

Widom factors in $C^{n}$

Multiplicative non-Hermitian perturbations of classical $I^^{2}$ -ensembles