# Q. on Mittag Leffler theorem and analytic sheaf cohomology

1. Jul 29, 2008

### lark

Last edited by a moderator: Apr 23, 2017
2. Jul 29, 2008

### lark

The answer is yes, you could express $$e^{1/sin z}$$ as $$f+g$$, $$f$$ analytic in $$Re(z)>\pi/2$$ and $$g$$ analytic in $$Re(z)<\pi$$! Pretty surprising, but I looked it up in Lars Hormander's book "An introduction to complex analysis in several variables". The proof isn't all that difficult, tho I didn't read the proofs before that one.
Laura