Joint eigenfunctions of invariant differential operators on the quaternion Heisenberg group |
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Authors: | HePing Liu XiaoJie Zhu |
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Institution: | 1. LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, China
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Abstract: | Let L be the sublaplacian on the quaternion Heisenberg group N and T the Dirac type operator with respect to central variables of N. In this article, we characterize the ?c-valued joint eigenfunctions of L and T having eigenvalues from the quaternionic Heisenberg fan. |
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