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Joint eigenfunctions of invariant differential operators on the quaternion Heisenberg group
Authors:HePing Liu  XiaoJie Zhu
Institution:1. LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, China
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.
Keywords:
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