一类含ζ函数核的奇异积分算子的性质及应用

Some properties of one kind of singular integral operator with doubly periodic analytic function kernel and its one application

给出一类含ζ函数核的奇异积分算子,利用维尔斯特拉斯ζ函数的性质讨论了这类算子的若干重要性质,并在此基础上得出了相应的含ζ函数核的奇异积分方程的Noether定理.

In this paper, some properties of one kind of singular integral operator with weierstrass ζ-function kernel were discussed according to the properties of the weierstrass ζ-function. And based on these properties, the Noether theorem of solvability on corresponding general singular integral equation was obtained.