某些类具有Hilbert核奇异积分的卷积型方程

Some Kinds of Singular Integral Equation of Convolution Type with Hilbert Kernel

利用离散的Fourier变换首次讨论了含有H ilbert核和卷积核的若干类奇异积分方程的求解,并首先在L2[-aπ2,aπ2](a>0)上得到了可解条件和一般解。

In this paper, some kinds of singular integral equation of convolution type with Hilbert kernel will be set up and discussed, using the theories of the discrete Fourier transform. The general solution and condition of solvability in class L2[-（απ/2）,απ/2]（α〉0）] are firstly obtained.