math121a-f23:hw_6
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math121a-f23:hw_6 [2023/10/06 19:05] pzhou created |
math121a-f23:hw_6 [2026/02/21 14:41] (current) |
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| ====== Homework 6 ====== | ====== Homework 6 ====== | ||
| + | Due on Monday (Oct 9th) | ||
| 1. Find the Fourier transformation of the following function. | 1. Find the Fourier transformation of the following function. | ||
| Line 24: | Line 24: | ||
| 4. Compute the inverse Fourier transform for | 4. Compute the inverse Fourier transform for | ||
| $$ F(p) = \pi e^{-|p|} $$ | $$ F(p) = \pi e^{-|p|} $$ | ||
| - | you should get back $f(x) = 1/(1+x^2)$? | + | you should get back $f(x) = 1/(1+x^2)$. |
| + | |||
| + | (my convention is $f(x) = \frac{1}{2\pi} \int F(p) e^{ipx} dp. $) | ||
math121a-f23/hw_6.1696619146.txt.gz · Last modified: 2026/02/21 14:44 (external edit)
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