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Prove that the Dirac delta function satisfies +∞ 1 S(t – t') = 2/= t 2π ģ exp(-iw[t − t']) dw,

Prove that the Dirac delta function satisfies +∞ 1 S(t – t') = 2/= t 2π ģ exp(-iw[t − t']) dw,

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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How can I prove this? I know that it works by applying Fourier Inverse Theorem but I don't really know how.

Prove that the Dirac delta function satisfies •+∞ 8( t - t') 12/7000 exp(-iwt- t']) dw, = 2πT ∞
Transcribed Image Text:Prove that the Dirac delta function satisfies •+∞ 8( t - t') 12/7000 exp(-iwt- t']) dw, = 2πT ∞
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