30 citations · 81 across the 6 of their papers we have counts for
6 papers
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…
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…
The Klein-Gordon equation, the Hilbert transform, and dynamics of Gauss-type maps
Haakan Hedenmalm, Alfonso Montes-Rodriguez
A pair , where is a locally rectifiable curve and is a {\em Heisenberg uniqueness pair} if an absolutely continuous (with respe…
Perron-Frobenius operators and the Klein-Gordon equation
Francisco Canto-Martin, Haakan Hedenmalm, Alfonso Montes-Rodriguez
We study the non-uniqueness sets for solutions to the Klein-Gordon equation in 1 space dimension, for solutions whose Fourier transform is a finite complex measure absolutely conti…
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…
Mean value surfaces with prescribed curvature form
Haakan Hedenmalm, Yolanda Perdomo
The Gaussian curvature of a two-dimensional Riemannian manifold is uniquely determined by the choice of the metric. The formulas for computing the curvature in terms of components…