论文信息 - The Inverse Laplace Transform and Analytic Pseudo-Differential Operators

The Inverse Laplace Transform and Analytic Pseudo-Differential Operators

Abstract By comparing the Laplace transform L with the differential operatorD, we obtain a formula for the inverse Laplace transform L − 1 = (1/π)V − 1 cos(πD)V L , whereVis a unitary transformation operator. This helps us obtain an explicit spectral representation of L . Some applications of the above relation are discussed.

Amin Boumenir | Abdulaziz Al-Shuaibi

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