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April, 2004 The Formula for the Singularity of Szegö Kernel: II
Masatake Kuranisha
Asian J. Math. 8(2): 353-362 (April, 2004).

Abstract

Let M be a strongly pseudoconvex hypersurface in Cn+1, i.e. the boundary of a domain Ω in Cn+1. The Szegö kernel KS(x, y), x,y ∈ M, is smooth outside of the diagonal x = y. The singularity at (x, x) is determined by the local datum at x of M, even though KS itself is a global object. Our problem is to write down the singularity at (x, x) in terms of the local equation of M in Cn+1. We fix a reference point, say p*, in M and only consider the germ of M at p*. Hence we we may shrink M near p* without mentioning it. We use as the model structure the boundary of the Siegel upper half space.

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Masatake Kuranisha . "The Formula for the Singularity of Szegö Kernel: II." Asian J. Math. 8 (2) 353 - 362, April, 2004.

Information

Published: April, 2004
First available in Project Euclid: 24 June 2004

MathSciNet: MR2129541

Rights: Copyright © 2004 International Press of Boston

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Vol.8 • No. 2 • April, 2004
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