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arXiv · 1402.5862

On the asymptotics of the on-diagonal Szeg\"o kernel of certain Reinhardt domains

Arash Karami·Vamsi Pingali
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Abstract

We compute the leading and sub-leading terms in the asymptotic expansion of the Szeg\"o 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.

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Arash Karami, Vamsi Pingali. 2014-02-24. On the asymptotics of the on-diagonal Szeg\"o kernel of certain Reinhardt domains. https://arxiv.org/abs/1402.5862

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