Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I'm dealing with the problem, that the function defined by trigonometric series(that is, limit of symmetric sum of $e^{inx}$)

I have shown that this function converges everywhere in pointwise sense. However, since it is not uniformly converge, I cannot say that this series is indeed a Fourier series of the give function. Can I say more about the relation between Fourier series of it and itself??

share|improve this question
    
There are know examples of trigonometric series that are no Fourier series. Do we talk about a specific series or is it a general question? –  AD. Oct 13 '12 at 11:21
    
An example of a trigonometric series that is not a Fourier series is given by $$\sum_{n>0}\frac{\sin nx}{\log n}$$ see my answer on this –  AD. Oct 13 '12 at 11:26

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.