Open Access
Translator Disclaimer
October 2015 Forelli--Rudin construction and asymptotic expansion of Szegö kernel on Reinhardt domains
Miroslav Engliš, Hao Xu
Osaka J. Math. 52(4): 905-929 (October 2015).

Abstract

We apply Forelli--Rudin construction and Nakazawa's hodograph transformation to prove a graph theoretic closed formula for invariant theoretic coefficients in the asymptotic expansion of the Szegö kernel on strictly pseudoconvex complete Reinhardt domains. The formula provides a structural analogy between the asymptotic expansion of the Bergman and Szegö kernels. It can be used to effectively compute the first terms of Fefferman's asymptotic expansion in CR invariants. Our method also works for the asymptotic expansion of the Sobolev--Bergman kernel introduced by Hirachi and Komatsu.

Citation

Download Citation

Miroslav Engliš. Hao Xu. "Forelli--Rudin construction and asymptotic expansion of Szegö kernel on Reinhardt domains." Osaka J. Math. 52 (4) 905 - 929, October 2015.

Information

Published: October 2015
First available in Project Euclid: 18 November 2015

zbMATH: 1333.32005
MathSciNet: MR3426621

Subjects:
Primary: 32A25

Rights: Copyright © 2015 Osaka University and Osaka City University, Departments of Mathematics

JOURNAL ARTICLE
25 PAGES


SHARE
Vol.52 • No. 4 • October 2015
Back to Top