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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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