If is the function which is represented by this series and derivable, use an integration by parts to compute the Fourier coefficients of . Use Parseval equality to show a contradiction.
Hi there. I have this interesting problem which I don't know how to solve. I'll post it here because I think more people will se it, but I'm not sure if this is the proper subforum.
The problem says: How can be sure that isn't the Fourier series of a derivable function?
I thought that it doesn't accomplish the Diritchlet postulates, but it actually doesn't mean that it isn't a fourier series.
Does anyone know how to solve this?
Bye there and thanks.