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arxiv: 1305.2030 · v2 · pith:YUHICR6Unew · submitted 2013-05-09 · 🧮 math.CV

Bulk asymptotics for polyanalytic correlation kernels

classification 🧮 math.CV
keywords kernelsbulkpolyanalyticasymptoticsblow-upscalledcomplexconcerning
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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 near so called bulk points as well as an off-diagonal decay estimate.

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