Error estimates of the real inversion formulas of the Laplace transform

Integral Transforms and Special Functions

Volumn 10, Issue 3-4, 2000, Pages 165-178

  Amano, K ^a   Saitoh, S ^a   Yamamoto, M ^b  

^a GUNMA UNIVERSITY   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

Bergman Selberg space; Convolution; Dirichlet series; Error estimate; Gauss formula; Laplace transform; Mellin transform; Real inversion formula; Reproducing kernel

Indexed keywords

EID: 0346673944     PISSN: 10652469     EISSN: None     Source Type: Journal    
DOI: 10.1080/10652460008819284     Document Type: Article

References (7)

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2. D.-W. Byun and S. Saitoh, A real inversion formula for the Laplace transform, Zeitschrift für Analysis und ihre Anwendungen, 12 (1993), 597-603.
3. J. Kajiwara and M. Tsuji, Program for the numerical analysis of inverse formula for the Laplace transform, Proceedings of the Second Korean-Japanese Colloquium on Finite and Infinite Dimensional Complex Analysis, 1994, 93-107.
4. J. Kajiwara and M. Tsuji, Inverse formula for Laplace transform, Proceedings of the 5th International Colloquium on Differential Equations, VSP-Holland, 1995, 163-172.
5. S. Saitoh, Integral Transforms, Reproducing Kernels and Their Applications, Pitman Research Notes in Mathematics Series, 369, Addison Wesley Longman, UK, 1997.
6. K. Tsuji, An algorithm for sum of floating point numbers without rounding error. In: Abstracts of the Third International Colloquium on Numerical Analysis, Bulgaria, 1995.
7. D.V. Widder, The Laplace Transform, Princeton University Press, Princeton, 1946.