I have a question about Fourier series that I would like some help with. If there is a function f(t) which does not satisfy all of Dirichlet's conditions then can its Fourier series still represent it? All I've got is that if all of Dirichlet's conditions are satisified by f(t) then the Fourier series converges to f. There isn't anything which says that if not all of conditions are satisfied then the Fourier series cannot converge to the function f(t). So I'm having trouble drawing a conclusion. Can someone help me out? Thanks.