Shimura invariant differential operators and their eigenvalues |
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| Authors: | Genkai Zhang |
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| Affiliation: | Department of Mathematics, Chalmers University of Technology and G?teborg University, S-412 96 G?teborg, Sweden (e-mail: genkai@math.chalmers.se), SE
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| Abstract: | Let be the covariant Cauchy-Riemann operator and the covariant holomorphic differential operator on a line bundle over a Hermitian symmetric space . We study the Shimura invariant differential operators defined via and . We find the eigenvalues of a family of the Shimura operators and of the generators. Received October 2, 1999 / Published online October 30, 2000 |
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| Keywords: | Mathematics Subject Classification (1991):32C17 32M15 58G30 53A45 05E05 17C50 |
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