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Fourier Transform

Hi

I have a question based on Fourier Transforms.

I am given (see first attached image).

Then I take Fourier transform of both sides to get (see second attached image).

I need to integrate so that I will get (the last attached image).

Any help will be appreciated.
(edited 8 years ago)
eq2.png0.7KB
rrwe.png9.7KB
Original post by alessiatid
Hi

I have a question based on Fourier Transforms.

I am given (see first attached image).

Then I take Fourier transform of both sides to get (see second attached image).

I need to integrate so that I will get (the last attached image).

Any help will be appreciated.


Hi, I've moved this to the maths section for you. :smile:
Reply 2
Avatar for TeeEm
TeeEm
19
Original post by alessiatid
Hi

I have a question based on Fourier Transforms.

I am given (see first attached image).

Then I take Fourier transform of both sides to get (see second attached image).

I need to integrate so that I will get (the last attached image).

Any help will be appreciated.


I cannot view the first slide (too small) but this does not look consistent to me

you have "i" without a square, and k is squared

I strongly suspect that the LHS must have 2nd derivatives and the RHS should be -k2F(k) which is very standard
(edited 8 years ago)

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