Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2003; 40(4): 641-666

Printed July 1, 2003

Copyright © The Korean Mathematical Society.

The formula for the singularity of Szego kernel : I

Masatake Kuranishi

Columbia Univerdsity

Abstract

We develop a method of calculating explicitly the singularity of Szeg\"o and Bergman kernel by using the process developed by Boutet de Monvel and Sj\"ostrand.

Keywords: singularity, Szego kernel

MSC numbers: Primary 32Axx; Secondary 46Exx