A Real Inversion Formula for the Laplace Transform in a Sobolev Space

被引：0

作者：

Amano, K. ^{[1
]}

Saitoh, S. ^{[1
]}

Syarif, A. ^{[1
]}

机构：

[1] Gunma Univ, Fac Eng, Dept Math, Kiryu, Gumma 3768515, Japan

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 1999年 / 18卷 / 04期

关键词：

Laplace transform; real inversion formula; Sobolev space; reproducing kernel; Mellin transform; Szego space;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the real-valued Sobolev-Hilbert space on [0,infinity) comprising absolutely continuous functions F = F(t) normalized by F(0) = 0 and equipped with the inner product (F-1, F-2) integral(infinity)(0)(F-1(t) F-2(t) + F-1(')(t) F-2(')(t)) dt we shall establish a real inversion formula for the Laplace transform.

引用

页码：1031 / 1038

页数：8

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