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Henstock-Kurzweil可积函数的Laplace变换的反演定理
The Inverse Laplace Transform Theorem of Henstock-Kurzweil Integrable Function
【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.
【Abstract】 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.
【关键词】 Henstock-Kurzweil可积函数;
Laplace变换;
反演变换.;
【Key words】 Henstock-Kurzweil integrable function; Laplace transform; Inverse transform.;
【Key words】 Henstock-Kurzweil integrable function; Laplace transform; Inverse transform.;
- 【文献出处】 数学物理学报 ,Acta Mathematica Scientia , 编辑部邮箱 ,2007年06期
- 【分类号】O174.5;O411.1
- 【被引频次】1
- 【下载频次】76