Tell me more ×
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.
up vote 0 down vote favorite

If $f:[-\pi, \pi] \rightarrow\mathbb{C}$ is the value of an uniform convergent trigonometric series, can I then deduce that the $2\pi$-periodic normalized extension is an uniform convergent trigonometric series?

share|improve this question
I am not sure whether the notation you use is totally standard. Well, even if it is I am pretty sure that people (like me) could answer your question if you made clearer what you mean by every word. – Simon Markett Jun 11 '12 at 11:33
The following is true: if a series $\sum_n (a_n \cos nx+b_n\sin nx)$ converges uniformly on $[-\pi,\pi]$, then it converges uniformly on $\mathbb R$. Whether or not this answers your question I can only guess. – user31373 Jun 11 '12 at 14:33

Know someone who can answer? Share a link to this question via email, Google+, Twitter, or Facebook.

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.