Differences

This shows you the differences between two versions of the page.

--- math121a-f23:october_4_wednesday [2023/10/06 05:09]
pzhou
+++ math121a-f23:october_4_wednesday [2026/02/21 14:41] (current)
@@ Line 96: / Line 96: @@
 ====== Exercise ======
+warm up:Does the function $f(x)=1$ admits Fourier transformation? Why? How about $f(x) = 1 / (1+|x|)$?
+Find the Fourier transformation of the following functions.
+$$ f(x) = \begin{cases}
+& 0<x<1 \cr
+& \text{else}
+\end{cases}
+$$
+$$ f(x) = \begin{cases}
++x & -1<x<0 \cr
+-x & 0<x<1 \cr
+& \text{else}
+\end{cases}
+$$

Lecture Notes