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Q3) Verify that the Fourier transform of the function [1–|x|, 1-|x|, |x|<1 |x|>1 ƒ (x) = = { 1 + 0 is ƒ (k)= sin³ (2) (1/2) k

Q3) Verify that the Fourier transform of the function [1–|x|, 1-|x|, |x|<1 |x|>1 ƒ (x) = = { 1 + 0 is ƒ (k)= sin³ (2) (1/2) k

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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Q3) Verify that the Fourier transform of the function x<1 |x|>1 f(x)= = 1-x, { 1 + 0 5 is 2 sin' (k/₂) (k/₂)² 2 ƒ (k)=-
Transcribed Image Text:Q3) Verify that the Fourier transform of the function x<1 |x|>1 f(x)= = 1-x, { 1 + 0 5 is 2 sin' (k/₂) (k/₂)² 2 ƒ (k)=-
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