- #1
nonequilibrium
- 1,439
- 2
Hello!
How do I prove
Thank you!
(it can be proven by using the convergence of the Fourier series in L_p-norm, but I want to use the above result to prove the convergence in L_2-norm, so I want to avoid that)
How do I prove
?If an integrable function f, 2pi-periodic, has all its Fourier coefficients equal to zero, then f is almost everywhere zero itself.
Thank you!
(it can be proven by using the convergence of the Fourier series in L_p-norm, but I want to use the above result to prove the convergence in L_2-norm, so I want to avoid that)