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Real Inversion Formulas of the Laplace Transform on Weighted Function Spaces |
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| Authors: | Yosihiro Sawano Hiroshi Fujiwara Saburou Saitoh |
| Affiliation: | (1) Department of Mathematics and Information Sciences, Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji-shi, Tokyo 192-0397, Japan;(2) Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan;(3) Department of Mathematics, Graduate School of Engineering, Gunma University, Kiryu 376-8515, Japan |
| Abstract: | 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. Submitted: October 13, 2007. Accepted: November 11, 2007. |
| Keywords: | KeywordHeading" >. Laplace transform real inversion of the Laplace transform reproducing kernel Sobolev space Tikhonov regularization compactness singular value decomposition |
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