Amir Ali Ahmadi, Raphaël M. Jungers, et al.
SICON
Let f be a complex-valued locally integrable function on [0, + ∞), and let Lf be its Laplace transform, whenever and wherever it exists. We some known methods, exact and approximate, for recovering f from Lf. Since numerical algorithms need auxiliary information about f near + ∞, we note that the behavior of f near +∞ depends on the behavior of Lf near 0+, hence that our ability to retrieve f is limited by the class of momentless functions, namely, all functions f such that Lf(s) converges absolutely for Re(s)>0 and satisfies (equation omited). We discuss the space Z of momentless functions and complex distributions, then construct a family of elements in this space which defy various plausible conjectures. © 1973 American Mathematical Society.
Amir Ali Ahmadi, Raphaël M. Jungers, et al.
SICON
David W. Jacobs, Daphna Weinshall, et al.
IEEE Transactions on Pattern Analysis and Machine Intelligence
Charles A Micchelli
Journal of Approximation Theory
A.R. Gourlay, G. Kaye, et al.
Proceedings of SPIE 1989