关于Cauchy型积分与Fourier积分的研究

On the Investigation with Cauchy Type Integral and Fourier Integral

利用复分析中推广的Cauchy留数定理与奇异积分方程中的Plemelj公式,首次给出了Cauchy型积分与Fourier积分之间的关系,并得出了单侧的Fourier积分的性质,然后给予证明.

In this paper, by using the Residue theorem and Plemelj formula,the relation of Cauchy type integral and Fourier integral is given, and the properties of the one-sided Fourier integral are proved.