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If F() is the Fourier transform of f(x), show that the inverse Fourier transform of
Chapter 10, Problem 10.3.5(choose chapter or problem)
QUESTION:
If F() is the Fourier transform of f(x), show that the inverse Fourier transform of eiF() is f(x ). This result is known as the shift theorem for Fourier transforms.
Questions & Answers
QUESTION:
If F() is the Fourier transform of f(x), show that the inverse Fourier transform of eiF() is f(x ). This result is known as the shift theorem for Fourier transforms.
ANSWER:Step 1 of 3
Let be the Fourier transform of the function .
The objective is to show that the inverse Fourier transform of is
Since is the Fourier transform of the function ,
So, the inverse Fourier transformation of the function is,