by gill1109 » Sat Oct 31, 2020 9:29 pm
FrediFizzx wrote:jreed wrote: ...
Just go into Mathematica, define the function f=(1+Cos[theta[)/4 then enter FourierSeries[f,theta,omega]. You'll see the three components expressed as dirac delta functions in omega. If you had some experience with Fourier series, you would see that just looking at the expression for f.
Whoa! Gull never said anything about Fourier Series. Plus Mathematica gives for what you said,
Looks like nonsense to me. If you are getting Dirac Deltas, you are not doing something right. Show your math or you are just talking more nonsense.
Gull indeed never said “Fourier series”. He said Fourier transform, because, from a higher math point of view familiar to Oxbridge graduates, the Fourier series *is* the Fourier transform taking the locally compact Abelian L^2[0, 2 pi] to its bidual L^2(Z). You never heard of the Pontryagin principle?
If not, please take a look at
https://en.wikipedia.org/wiki/Pontryagin_dualitySorry, it’s the arrogant way of talking which everyone speaks in Cambridge and in that other place, what’s it called? Oh yes, Oxford.
[quote="FrediFizzx"][quote="jreed"] ...
Just go into Mathematica, define the function f=(1+Cos[theta[)/4 then enter FourierSeries[f,theta,omega]. You'll see the three components expressed as dirac delta functions in omega. If you had some experience with Fourier series, you would see that just looking at the expression for f.[/quote]
Whoa! Gull never said anything about Fourier Series. Plus Mathematica gives for what you said,
[img]http://www.sciphysicsforums.com/spfbb1/EPRsims/gullfs1.jpg[/img]
Looks like nonsense to me. If you are getting Dirac Deltas, you are not doing something right. Show your math or you are just talking more nonsense.
[/quote]
Gull indeed never said “Fourier series”. He said Fourier transform, because, from a higher math point of view familiar to Oxbridge graduates, the Fourier series *is* the Fourier transform taking the locally compact Abelian L^2[0, 2 pi] to its bidual L^2(Z). You never heard of the Pontryagin principle?
If not, please take a look at [url]https://en.wikipedia.org/wiki/Pontryagin_duality[/url]
Sorry, it’s the arrogant way of talking which everyone speaks in Cambridge and in that other place, what’s it called? Oh yes, Oxford.