Hacker News Reader

Uhh... there is a lot more to say about Fourier series than "just that they're defined for any locally compact abelian group". Give me a break.

View on HN

Do you know understand how quoting works? You are supposed to use the words the person actually typed.

Feel free to cite a textbook on Fourier analysis proving a result not contained in Rudin's text. Uhh.. here's your break. Put up, or shut up.

As far as I know Rudin focuses on Fourier analysis on locally compact Abelian groups. There's been plenty of attention paid to doing Fourier analysis on other objects, especially compact Lie groups or symmetric spaces.

Of course there are people who would say that this isn't Fourier analysis anymore but the same ideas are still at play.

Fair enough. I'm just verklempt about the plethora of purported tutorials that barely scratch the surface. Sit down with a textbook. Read it. Think hard and do the problems. Watching cartoon animations is not learning the subject. Excuse me, I've got a lot of clouds that need to be yelled at.

https://link.springer.com/journal/41/articles

That is not a textbook.

"Nobody has anything more to say about Fourier series than what Walter Rudin figured out long ago."

Reply on news.ycombinator.com