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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2000; 37(2): 245-251

Printed March 1, 2000

Copyright © The Korean Mathematical Society.

One remark for CR equivalence problem

Atsushi Hayashimoto

Nagoya University

Abstract

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Assume that two boundaries of worm domains, which are parametrized by harmonic functions, are CR equivalent. Then we determine the Taylor expansion of CR equivalence mapping and get a relation of harmonic functions.

Keywords: worm domain, CR mappings, CR equivalence

MSC numbers: 32C16, 32F40

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