Physics 2. Using the Dirac Delta function prove that F-1{F{f(x)}} = f(x) (that is the Inverse Fourier transform of the Fourier transform of a f(x) is f(x)).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
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Physics

2. Using the Dirac Delta function prove that F-1{F{f(x)}} = f(x) (that is the Inverse Fourier transform of the Fourier transform of a f(x) is f(x)). 

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