(a) Let m be a positive constant. Calculate the Fourier Transform Ü(§) of e-m|x| U(x) x E R³. |x| [Hint: U is radial, so Ü(5) Ü(0, 0, 15]). Use spherical coordinates to do the integral.] %3D

Advanced Engineering Mathematics
10th Edition
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(a) Let m be a positive constant. Calculate the Fourier Transform U(5) of
e-m지
U(x) =
|x|
x E R³.
[Hint: U is radial, so Û (5) = Û(0, 0, I5|). Use spherical coordinates to do the integral.]
Transcribed Image Text:(a) Let m be a positive constant. Calculate the Fourier Transform U(5) of e-m지 U(x) = |x| x E R³. [Hint: U is radial, so Û (5) = Û(0, 0, I5|). Use spherical coordinates to do the integral.]
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