Proves that the edge scaling limit of polynomial Bergman kernels yields the error-function kernel or a new pluricomplex multivariate version in tensorized and rotationally symmetric cases, plus an edge limit for counting statistics.
Bargmann, On a Hilbert space of analytic functions and an associated integral transform, Part I,Comm
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A pluricomplex error-function kernel at the edge of polynomial Bergman kernels
Proves that the edge scaling limit of polynomial Bergman kernels yields the error-function kernel or a new pluricomplex multivariate version in tensorized and rotationally symmetric cases, plus an edge limit for counting statistics.