Please explain step by step, and show details clearly. Thanks f*g is convolution.
Posted: Tue May 10, 2022 8:53 am
Please explain step by step, and show details clearly.
Thanks
f*g is convolution.
In this problem set define the Fourier transform of a function f el(R) by f(x) = SR f(t)e-2rita dt
(2) Show that if f has support in a compact set A CR and g has support in a compact set B CR then f*g has support in A+B := {1+y: 2 € A,Y E B}
Thanks
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In this problem set define the Fourier transform of a function f el(R) by f(x) = SR f(t)e-2rita dt
(2) Show that if f has support in a compact set A CR and g has support in a compact set B CR then f*g has support in A+B := {1+y: 2 € A,Y E B}