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Find the fourier transform of the following. functions by making use of Jordan's Lemma. a) 1 (x² + πT ² ) ² b) (x² + 1)² -IKITF (1-IKITT) 4π ³ b) F(k)= = = i (2-/kl) e-tkt -i (2-1kl) e-KT Solutions if k < 0 if k 70

Find the fourier transform of the following. functions by making use of Jordan's Lemma. a) 1 (x² + πT ² ) ² b) (x² + 1)² -IKITF (1-IKITT) 4π ³ b) F(k)= = = i (2-/kl) e-tkt -i (2-1kl) e-KT Solutions if k < 0 if k 70

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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Find the fourier transform of the following functions by making use of Jordan's Lemma. a) 1 (x² + πT ² ) ² b) (x² + 1)² a) e e-I KITT (1-1KITT) 4π 3 -Ikl b) F(k)= √ = i (2-1K1) e- (-i (2-1kl) e-kr Solutions if kc0 if k>0
Transcribed Image Text:Find the fourier transform of the following functions by making use of Jordan's Lemma. a) 1 (x² + πT ² ) ² b) (x² + 1)² a) e e-I KITT (1-1KITT) 4π 3 -Ikl b) F(k)= √ = i (2-1K1) e- (-i (2-1kl) e-kr Solutions if kc0 if k>0
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