Spectra of some domains in compact Lie groups and their applications

Urakawa, Hajime

doi:10.1090/S0002-9939-1986-0845995-X

Spectra of some domains in compact Lie groups and their applications
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Proc. Amer. Math. Soc. 97 (1986), 717-723 Request permission

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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Modern theory of spherical functions

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