An analytic representation for the third-harmonic generation along the well is derived by the density matrix operator theory of the quantum mechanics.
利用量子力学中的密度矩阵算符理论导出了该系统中三次谐波产生的解析表达式。
It is well-known that fractional integral operator is one of the important operators in harmonic analysis with background of partial differential equations.
众所周知，分数次积分算子是调和分析中以偏微分方程为背景的一种重要算子。
By using the method of spherical harmonic, the boundedness of a kind of singular integral operator in product domains is given in this paper.
用球调和的方法研究了一类乘积空间上奇异积分算子的有界性，所获得的结果给出了以往奇异积分算子有界性的应用。
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