Q. on Mittag Leffler theorem and analytic sheaf cohomology

  • Thread starter lark
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See http://camoo.freeshell.org/cohomquest.pdf" [Broken]
thanks
Laura
 
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  • #2
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The answer is yes, you could express [tex]e^{1/sin z}[/tex] as [tex]f+g[/tex], [tex]f[/tex] analytic in [tex]Re(z)>\pi/2[/tex] and [tex]g[/tex] analytic in [tex]Re(z)<\pi[/tex]! 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
 

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