Damek-Ricci空间和齐次树上的移位wave equation
The shifted wave equation on Damek--Ricci spaces and on homogeneous trees
摘要：
利用Asgeirsson定理和对偶Abel逆变换，我们在Damek-Ricci空间上显式求解了位移波动方程.作为应用，我们研究了惠更斯原理。类似的分析进行了离散设置的同质树。
英文摘要：
We solve explicitly the shifted wave equation on Damek--Ricci spaces, using Asgeirsson's theorem and the inverse dual Abel transform. As an application, we investigate Huygens' principle. A similar analysis is carried out in the discrete setting of homogeneous trees.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
