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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
In this article, we prove dispersive and Strichartz estimates for the solution of the wave equationrelated to the full Laplacian on the quaternion Heisenberg group, by means of homogeneous Besov spacedefined by a Littlewood-Paley decomposition related to the full Laplacian.