The Laplace transform on a Boehmian space

被引：6
|
作者：
Karunakaran, V. [1 ]
Devi, C. Prasanna [1 ]
机构：
[1] Madurai Kamaraj Univ, Sch Math, Madurai 625021, Tamil Nadu, India
来源：
ANNALES POLONICI MATHEMATICI | 2010年 / 97卷 / 02期
关键词：
Laplace transform; Boehmian; inversion theorem; continuity;
D O I：
10.4064/ap97-2-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the literature a Boehmian space containing all right-sided Laplace transformable distributions is defined and studied. Besides obtaining basic properties of this Laplace transform, an inversion formula is also obtained. In this paper we shall improve upon two theorems one of which relates to the continuity of this Laplace transform and the other is concerned with the inversion formula.
引用
收藏
页码：151 / 157
页数：7
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