Fourrier Trivia

One day in a land far away
Some mathematicians at play
Found a transform of convenient form
The basis of physics today.

Convolving would wreck people's brains
Still the advent of Fourier domains
for convolving in one
means multiplication
in the corresponding domain.

Got trouble with an ODE?
Fourier transforms will set you free
When once you would cry,
You now multiply,
by a constant times the frequency.

Fourier transforms backwards and forth
I hope that you now see their worth
For in every domain
Advantages reign
Fourier was the salt of the earth.