# Fourier transform in distribution sense

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Please solve problem number 1 on the attached PDF file

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see attachment

Solution:

a) Let's consider a test function D; we have to compute the limit of the inner product which defines a distribution as a linear and continuous functional:

( 1)

Since

( 2)

we will have: ( 3)

Let's put

...

#### Solution Summary

Fourier transform in distribution sense is evaluated.

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