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On the asymptotics of the on-diagonal Szegö kernel of certain Reinhardt domains |
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| Authors: | Arash Karami Vamsi Pingali |
| Institution: | 1. Department of Mathematics, Johns Hopkins University, Baltimore, MD, 21210USA.;2. Department of Mathematics, Johns Hopkins University, Krieger 412, Baltimore, MD, 21210, USA. |
| Abstract: | We compute the leading and subleading terms in the asymptotic expansion of the Szegö kernel on the diagonal of a class of pseudoconvex Reinhardt domains whose boundaries are endowed with a general class of smooth measures. We do so by relating it to a Bergman kernel over projective space. |
| Keywords: | Szegö kernel asymptotics explicit formula Bergman kernel |