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/sci/ - Science & Math

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9213174 No.9213174 [Reply] [Original]

can a fourier transform be done in 3 dimensions with a sphere that also vibrates?

>> No.9213181

If you're intelligent enough, yes it can

>> No.9213182

>>9213174
the fourier transform is just a decomposition of orthogonal vectors. on a space with countably infinite dimension.

if you can find a self-adjoint positive definite operator for scalar functions on the sphere, then there exist an othonormal basis of that operators eigenfunctions. (spectral theorem.)

(Hint: there does exist such an operator.)

>> No.9213200

>>9213182
What happens when it is positive semi-definite?

>> No.9213206
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9213206

>>9213181
>>9213182
no i mean like this:

transform is a cross section that slides through the sphere

then the sphere also vibrates and squishes it periodically

then the sphere ITSELF moves through space

am i just retarded?

>> No.9213390

>>9213182
I wish I grokked what that meant.

>> No.9214502

>>9213390
wat

>> No.9214517

>>9214502
https://www.merriam-webster.com/dictionary/grok

>> No.9214620

>>9213390
You're look for Barry Simon's Schrodinger Operator, but whatever.

I'mma do more math.