The inverse Laplace transform and analytic pseudo-differential operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:228

Article

Boumenir, A ; Al-Shuaibi, A

关键词: Laplace transform;    inverse Laplace transform;    pseudo-differential operators;    differential operator of infinite order;   

DOI  :  10.1006/jmaa.1998.6083

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free