- #1
Sina
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Homework Statement
What is the function f(r) s.t
[tex] int {d3r.f(r).e-iw.r= 1/w2} [/tex]
where w = (kx,ky,kz)
Homework Equations
None
The Attempt at a Solution
I tried to directly take Fourier transform of 1/w2 as [tex] \int{ d3r.1/w2.eiw.r}[/tex]. I started integrating dkx bu calculus of residues, calling the denominator kx2 + c2 and evaluating residues at kx = ic with a semi circle in the lower plane etc. However the integral I get from here is with roots and strange exponential terms so I stopped here. So I am asking for a line of approach should I be working in polar coordinates to solve this questions. And also what are some general methods approach n-dimensional Fourier transformations.Thanks
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