The wrong kind of convolution

Animation of convolution breaks slides on iPad

The wrong kind of Parseval (this is the opera Parsifal)

Lecture 24 (May 22, 2015)

• Going over properties of Fourier transform
• Convolution theorem
• Parseval’s theorem.
• Couldn’t find a picture of Marc-Antoine Parseval des Chênes (1755–1836)
• Obtain fundamental solution with Heaviside initial condition: similarity solution

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Summary

• Parseval’s theorem: essentially conservation of energy
• Can obtain similarity solution from ODEs without using Fourier transforms
• Next Monday: Memorial Day Holiday
• Next Wednesday: Quiz III

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