Conditional stability of a real inverse formula for the laplace transform

Zeitschrift für Analysis und ihre Anwendungen

Volumn 20, Issue 1, 2001, Pages 193-202

  Saitoh, S ^a   Tuan, Vu Kim ^b   Yamamoto, M ^c  

^a GUNMA UNIVERSITY   (Japan)

^b KUWAIT UNIVERSITY   (Kuwait)

^c UNIVERSITY OF TOKYO   (Japan)

Author keywords

Bergman Selberg space; Conditional stability; Convolution; Error estimates; Gauss formula; Laplace transform; Mellin transform; Real inversion formulas; Reproducing kernels

Indexed keywords

EID: 26444539032     PISSN: 02322064     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (5)

1. Abramowitz, M. and I. A. Stegun: Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables. New York: Dover Publ. 1972.
2. Amano, K., Saitoh, S. and M. Yamamoto: Error estimates of the real inversion formulas for the Laplace transform. Int. Transf. & Spec. Funct. (to appear).
3. Byun, D.-W. and S. Saitoh: A real inversion formula for the Laplace transform. Z. Anal. Anw. 12 (1993), 597-603.
4. Saitoh, S.: Integral Transforms, Reproducing Kernels and Their Applications (Pitman Research Notes in Mathematics Series: Vol. 369). Harlow: Addison Wesley Longman 1997.
5. Samko, S. G., Kilbas, A. A. and O. I. Marichev: Fractional Integrals and Derivatives. Theory and Applications. Yverdon: Gordon & Breach Sci. Publ. 1993.