Commuting differential operators for the finite Laplace transform. (English) Zbl 0603.44002
The authors study the singular system belonging to a truncated Laplace transform L whose inverse has compact, strictly positive support, and its adjoint. The eigenfunctions of \(L^*L\) are found to be those of a certain differential operator; the authors study these with the objective of applying them to the inversion of the transform, as studied, for example, by the first author, P. Brianzi and E. Pike [ibid. 1, 1-15 (1985; reviewed above)].
Reviewer: R.D.Boas
MSC:
44A10 | Laplace transform |
65R10 | Numerical methods for integral transforms |
34L99 | Ordinary differential operators |
45P05 | Integral operators |
47Gxx | Integral, integro-differential, and pseudodifferential operators |