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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Spectra of some domains in compact Lie groups and their applications

Author: Hajime Urakawa
Journal: Proc. Amer. Math. Soc. 97 (1986), 717-723
MSC: Primary 58G25; Secondary 53C42
MathSciNet review: 845995
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Abstract: In this paper, we determine explicitly the spectra of the Dirichlet problems of some domains in simply connected compact simple Lie groups. As their applications, combining results of Hoffman [6] and Mori [10], we can state some stability conditions of these domains for the standard minimal isometric immersions into unit spheres.

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Keywords: Dirichlet problem, compact Lie groups, Laplace-Beltrami operators, zonal spherical functions
Article copyright: © Copyright 1986 American Mathematical Society