Mellin-Fourier theorem

At the beginning of this chapter, we quoted the Mellin-Fourier Inversion theorem for Laplace transforms, worth repeating here... 

Dividing this by 2vi yields the Fourier-Mellin Inversion theorem, which defines the inverse transform of /7... 

APPENDIX C Derivation of the Fourier-Mellin Inversion Theorem written for the problem at hand as... 

These are the two building blocks to prove the Fourier-Mellin inversion theorem for Laplace transforms. 

We take careful note that the last term in the summation defines the Laplace inversion, according to the Fourier-Mellin theorem in Eq. 9.3, since in the limit... 

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