Invariant differential operators on Hermitian symmetric spaces and their eigenvalues |
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Authors: | Genkai Zhang |
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Institution: | 1. Department of Mathematics, University of Karlstad, S-651 88, Karlstad, Sweden
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Abstract: | Let
be the invariant Cauchy Riemann operator and
the corresponding invariant Laplacians on a bounded symmetric domain. We calculate the eigenvalues ofM
m
on spherical functions. In particular we prove that for a symmetric domain of rank two the operatorsM
1,M
3 generate all invariant differential operators. We also find the eigenvalues of the generators introduced by Shimura. |
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Keywords: | |
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