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The Inverse Laplace Transform and Analytic Pseudo-Differential Operators

✍ Scribed by A. Boumenir; A. Al-Shuaibi

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 130 KB
Volume: 228
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1998.6083

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✦ Synopsis

By comparing the Laplace transform L L with the differential operator D, we y1 Ž . y1 Ž . obtain a formula for the inverse Laplace transform L L s 1r V cos D VL L , where V is a unitary transformation operator. This helps us obtain an explicit spectral representation of L L. Some applications of the above relation are discussed.

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