We establish a conditional stability estimate of a real inverse formula for the Laplace transform of functions under the assumption that the Bergman-Selberg norms of the Laplace transform of those functions are uniformly bounded. The rate of the stability estimate is shown to be of logarithmic order.
Cite this article
S. Saitoh, Vu Kim Tuan, Masahiro Yamamoto, Conditional Stability of a Real Inverse Formula for the Laplace Transform. Z. Anal. Anwend. 20 (2001), no. 1, pp. 193–202DOI 10.4171/ZAA/1010