存在奇点的一维高阶奇异积分

文章研究实数域中奇异积分的主值问题。这是基于数学分析中对广义积分的研究作的进一步深入探讨的工作。文中定义了一维奇异积分的Cauchy主值与Hadamard主值并给出了相应的公式。

This paper studies the problem of principal value of singular integrals in real number field. This is the improvement research based on the study of generalized integralof Mathematical Analysis. The definitions of Cauchy principal value and Hadamard principal value ofone-dimensional singular integral are obtained,and the formulas are given.