Someone redpill me on the fourier transform please.

additive synthesis

>>8201961
On compact topological groups it's a corollary of Peter-Weyl theorem. On locally compact abelian groups it's a corollary of the definition of the Pontryagin dual.

>>8201996

wtf! i'm a #wildbergermissile now

>>8201961
>Someone redpill me on the fourier transform please.

>Someone teach me the real truth, hidden by blue-pilled PC culture, on fourier transform please

No. Learn the blue-pill version.

>>8203042
lol i was thinking the same thing, anon

It's like doing Fourier series but the period is over the entire number line.

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>>8201961

>red pill

Fuck off back to /pol/

>>8201996
OP was asking about the anabelian case though

>>8203121
ah godammit

Ignoring the SJWtard Bern victim shitposters.

this is a good one :
https://www.youtube.com/watch?v=1JnayXHhjlg

Also Khanacademy is your friend.

The Fourier transform describes a way of decomposing a function into a sum of orthogonal basis functions in just the same way as we decompose a point in Euclidean space into the sum of its basis vector components.

some operations are just easier in the frequency domain. OTOH why is it so hard to read wikipedia?
https://acko.net/files/gltalks/toolsforthought/#0

>>8203249

That's not red-pill Fourier Transform, that's blue-pill standard even-the-worst-SJWs-believe-it Fourier Transform.

>>8203259
Khanacademy have better examples. That should be OPs primary source.

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>>8201961
>redpill me
get out, /pol/esmoker

>>8203262
>He thinks pajeet academy can teach him anything

>>8203284
>>>/r/eddit

>>8203384
>Pajeet is beginning to spill out of /g/

>>8201961

Mathematically, it's really confusing

practically, it's really simple. Basically, all signals are made of other baby signals. A fourier transform gets the baby signals out of the big daddy signal.

>>8203591
It really isn't. If you don't mind the engineering angle, it's like synchronous radio receiver, tuning to a desired frequency by multiplying the input by a sinusoid. It's just that you're trying infinite number of frequencies at once, and using complex corkscrew functions instead of sinusoids.

>>8203600
I also like the duality angle, e.g. wide signals in the time domain have narrow frequency domain representation and vice versa. E.g a sine transformed is a single value.

>>8203619
It works especially well on the Gaussian function.

>>8201961
A rainbow is the Fourier transform of sunlight.