〈 Berger | Dillon 〉

No, you only get y=x in (-pi,pi), as you’ve drawn, and then extended periodically from there (since every function in the series is 2pi periodic). The dual of the line is the line, so you’d need an integral to recover the actual line. Presumably you know this, so why fib?...

that's right, it converges to y=x in (-π,π) for the Fourier series (as opposed to the transform). Given that it does converge to a line on (-π,π), i wouldn't say i fibbed.. This is twitter,not an academic conference.The purpose of my tweets is to get across the basic idea in..

this is super neat

thanks!

But this does not converge at x = 0, since the sum is clearly 0 at x = 0 for arbitrary n, no?

note that the sum at 0 equals 0 is consistent with every frame of the animation