Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Possible Duplicate:
Which sets are removable for holomorphic functions?
Prove analyticity by Morera’s theorem

Suppose $f : \mathbb{C} \to \mathbb{C}$ is continuous and its restriction to $\mathbb{C} \setminus [-1,1]$ is holomorphic. Is $f$ necessarily holomorphic?

share|cite|improve this question

marked as duplicate by Jonas Meyer, JSchlather, 5PM, Henry T. Horton, Paul Jan 22 '13 at 2:20

This question was marked as an exact duplicate of an existing question.

1  
Yes – user53153 Jan 22 '13 at 0:52
    
@5PM: I saw that post, but it looked much more advanced and I incorrectly assumed that it wouldn't contain a solution to my simple problem. Thanks for pointing this out. – Justin Campbell Jan 22 '13 at 1:34
    
Others: math.stackexchange.com/questions/170821/… and math.stackexchange.com/questions/202887/… (for which answers weren't posted). – Jonas Meyer Jan 22 '13 at 2:00