Q3) Verify that the Fourier transform of the function [1-x|, |x|<1 |x|>1 f(x) = a. Then Show that b. Compute the integral is “ du = sinu π du sin² (2) (1/2)* f(k)=-

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 21EQ
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Q3) Verify that the Fourier transform of the function
[1-|x|,
|x|<1
|x|>1
f(x) = {
a. Then Show that
sin²u
b. Compute the integral
SC
du
sinu
is
du
sin² (2)
(k/2)²
ƒ(k)=-
Transcribed Image Text:Q3) Verify that the Fourier transform of the function [1-|x|, |x|<1 |x|>1 f(x) = { a. Then Show that sin²u b. Compute the integral SC du sinu is du sin² (2) (k/2)² ƒ(k)=-
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