On the asymptotics of the on-diagonal Szegö kernel of certain Reinhardt domains

2014/02/24 by Arash Karami, Karami, Arash, Vamsi Pingali +1
Mathematics · #32T15 (Primary) #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #math.CV #math.DG #msc:32T15

paper · pdf · doi:10.48550/arxiv.1402.5862

11 pages

arxiv created 2014/02/24 · arxiv updated 2014/02/25

Abstract

We compute the leading and sub-leading 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.

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