Meta调和函数与泛调和函数的渐近均值性质
Asymptotic mean value properties of meta- and panharmonic functions
摘要：
渐近平均值的性质，其逆和其他一些相关的结果被认为是解决方案的$m$维Helmholtz方程（亚调和函数）和解决方案，其修改的对应（泛调和函数）。其中一些性质与调和函数没有类似之处。
英文摘要：
Asymptotic mean value properties, their converse and some other related results are considered for solutions to the $m$-dimensional Helmholtz equation (metaharmonic functions) and solutions to its modified counterpart (panharmonic functions). Some of these properties have no analogues for harmonic functions.
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。
