The inverse Laplace transform and analytic pseudo-differential operators
| Author(s) : | A Boumenir A Al-Shuaibi, |
| Publisher : | ACADEMIC PRESS INC |
| Publication Date : | 1998 |
| ISSN : | N/A |
| Abstract : | By comparing the Laplace transform L with the differential operator D, we obtain a formula for the inverse Laplace transform L-1 = (1/pi)V-1 cos(pi D)VL, where V is a unitary transformation operator. This helps us obtain an explicit spectral representation of L. Some applications of the above relation are discussed, (C) 1998 Academic Press., |