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math.CV2013
Bulk asymptotics for polyanalytic correlation kernels
Antti Haimi
We study reproducing kernels of weighted spaces of polyanalytic polynomials on the complex plane. The results include a universality result concerning local blow-ups of the kernels…
math.CV2013★ 23 cited
Asymptotic expansion of polyanalytic Bergman kernels
Haakan Hedenmalm, Antti Haimi
We consider mainly the Hilbert space of bianalytic functions on a given domain in the plane, square integrable with respect to a weight. We show how to obtain the asymptotic expans…