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math.CV2022
Berezin density and planar orthogonal polynomials
Haakan Hedenmalm, Aron Wennman
We introduce a nonlinear potential theory problem for the Laplacian, the solution of which characterizes the Berezin density for the polynomial Bergman space, where th…
math.CV2017★ 5 cited
Planar orthogonal polynomials and boundary universality in the random normal matrix model
Haakan Hedenmalm, Aron Wennman
We show that the planar normalized orthogonal polynomials of degree with respect to an exponentially varying planar measure enjoy an…
math.CV2006★ 3 cited
Norm expansion along a zero variety in
H. Hedenmalm, S. Shimorin, A. Sola
The reproducing kernel function of a weighted Bergman space over domains in is known explicitly in only a small number of instances. Here, we introduce a process of…