Real Inversion Formulas of the Laplace Transform on Weighted Function Spaces

被引：0

作者：

Yosihiro Sawano

Hiroshi Fujiwara

Saburou Saitoh

机构：

[1] Tokyo Metropolitan University,Department of Mathematics and Information Sciences

[2] Kyoto University,Graduate School of Informatics

[3] Gunma University,Department of Mathematics, Graduate School of Engineering

来源：

Complex Analysis and Operator Theory | 2008年 / 2卷

关键词：

Laplace transform; real inversion of the Laplace transform; reproducing kernel; Sobolev space; Tikhonov regularization; compactness; singular value decomposition; Primary 44A10; Secondary 30C40, 47B32;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate compactness of linear operators associated with the real inversion formulas of the Laplace transform, coming with weighted Sobolev reproducing kernel Hilbert spaces on the half line R+. We present concrete reproducing kernels along with several typical examples.

引用

页码：511 / 521

页数：10

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