摘要
讨论任意阶调和算子的离散谱估计,同时给出调和算子多项式的离散谱估计.所得结果是前人工作的一个全面的推广,不但包含了已有的同类工作的结果,而且改进了已有的估计.
Discussed in this paper are the estimates for discrete spectrum
of Laplacian operator with any order as well as of polynormial of
Laplacian operator.This work is a complete generalization of the
work done before by other scholars,but achieves better results.
基金
Project supported by National Natural Fund of China
关键词
离散谱
拉普拉斯算子
特征值
discrete spectrum
Laplacian operator
eigenvalue
eigenfunction.
