Q. on Mittag Leffler theorem and analytic sheaf cohomology

[lark]

See http://camoo.freeshell.org/cohomquest.pdf"
thanks
Laura

 

[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