Journal of the
Korean Mathematical Society
JKMS

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

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J. Korean Math. Soc. 2001; 38(3): 561-575

Printed May 1, 2001

Copyright © The Korean Mathematical Society.

Microlocal analysis in the Denjoy-Carleman class

June Gi Kim, Soon-Yeong Chung, and Dohan Kim

Kangwon National University, Sogang University, Seoul National University

Abstract

Making use of the singular spectrum in the Denjoy-Carleman class we prove the microlocal decomposition theorem and quasianalytic versions of Holmgren's uniqueness theorem and watermelon theorem.

Keywords: Denjoy-Carleman class, singular spectrum, quasianalyticity

MSC numbers: 46F05, 35S05, 35S30

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