On the asymptotics of the on-diagonal Szeg\"o kernel of certain Reinhardt domains
classification
🧮 math.CV
math.DG
keywords
kernelclassdomainsreinhardtszegasymptoticasymptoticsbergman
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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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