The Bergman kernel on tube domains of finite type

J. Math. Sci. Univ. Tokyo
Vol. 13 (2006), No. 3, Page 365--408.

Kamimoto, Joe
The Bergman kernel on tube domains of finite type
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Abstract:
In this paper, asymptotic expansions of the Bergman kernel and the Szeg\"o kernel are computed for pseudoconvex tube domains of finite type in ${\mathbb C}^{n+1}$ $(n\geq 1)$.

Keywords: Bergman kernel, asymptotic expansion, tube domains, pseudoconvex domains of finite type, Szeg\"o kernel.

Mathematics Subject Classification (2000): 32A25, 32A07, 32T25.
Mathematical Reviews Number: MR2284408

Received: 2005-06-27