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ISSN : 1226-0657

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Vol.4 No.2

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1997, v.4 no.2, pp.145-149
Jeong, Moon-Ja
Jeong,, M. (1997). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 4(2), 145-149.

Abstract

Suppose <TEX>$\Omega$</TEX> is a bounded n-connected domain in C with <TEX>$C^2$</TEX> smooth boundary. Then we prove that the Szego kernel extends continuously to <TEX>$\Omega\times\Omega$</TEX> except the boundary diagonal set.

keywords
Szego kernel, transformation formula, Riemann mapping

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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