Compute the Fourier transform of the following function: f(x) = e-a(r-x0)²+iqx (5) where a > 0 and q and xo are real. Instead of integrating by brute force, you might want to Fourier transform a simpler function (which we discussed in class and you did key steps for on a practice assignment!) and then think about what happens when you change it in certain ways.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 65E
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Compute the Fourier transform of the following function:
f(x) = e-a(r-x0)²+iqx
(5)
where a > 0 and q and xo are real.
Instead of integrating by brute force, you might want to Fourier transform a simpler function
(which we discussed in class and you did key steps for on a practice assignment!) and then think
about what happens when you change it in certain ways.
Transcribed Image Text:Compute the Fourier transform of the following function: f(x) = e-a(r-x0)²+iqx (5) where a > 0 and q and xo are real. Instead of integrating by brute force, you might want to Fourier transform a simpler function (which we discussed in class and you did key steps for on a practice assignment!) and then think about what happens when you change it in certain ways.
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