Find the Fourier transform of the function $f(t) = e^{iat}$ where $a$ is a constant.

Name: Find the Fourier transform of the function f(t) = e^iat where a is a constant.
Uploaded: 2023-08-14T04:30:25-08:00
Duration: 2 min 33 s
Channel: Madhur L
Description: Find the Fourier transform of the function f(t) = e^iat where a is a constant.

          Find the Fourier transform of the function $f(t) = e^{iat}$ where $a$ is a constant.

Added by Gema H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

08/14/2023

Step 1

Plugging this into the formula, we get: F(w) = ∫[from -∞ to +∞] e^(iat) * e^(-iwt) dt Using the properties of exponents, we can simplify this expression: Show more…

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