Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2013; 50(1): 285-303

Printed January 31, 2013

https://doi.org/10.4134/BKMS.2013.50.1.285

Copyright © The Korean Mathematical Society.

Asymptotic expansion of the Bergman kernel for tube domain of infinite type

Hanjin Lee

Handong Global University

Abstract

The asymptotic expansions of the Bergman kernels on the diagonals near the boundary points of exponentially-flat infinite type for pseudoconvex tube domain in $\mathbb{C}^2 $ are obtained.

Keywords: Bergman kernel, infinite type, tube domains

MSC numbers: Primary 32A25; Secondary 32A07