摘要
该文建立了Henstock-Kurzweil可积函数的Laplace变换,讨论了其基本性质及解析性质,得到Henstock-Kurzweil可积意义下的反演公式,并给出反例说明这一结果不能改进.
In this paper, the Laplace transform of Henstock-Kurzweil integrable function has been defined. Its analyticity and some of its basic properties have been discussed. The inverse formula in the sense of the Henstock-Kurzweil integrable is obtained. The authors also give a example to show that the result can not been improved.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2007年第6期1155-1163,共9页
Acta Mathematica Scientia