can anyone prove the mithag-leftler theorem in a simple and lucid manner?

Question

i am trying to prove the mithag-leftler theorem in a simple and lucid manner..can someone please help me opn this?

Answer 1

Mittag-Leffler (note the spelling ☺) is another one of 'those' theorems that really don't have simple proofs. Anytime you're in the analytic jungle of complex functions, contour integrals, residue theorems, partial-fraction expansions, and functions that are pointwise-analytic, stuff gets pretty deep and it gets there real fast ☺

But lots of luck anyway. There are quite a few sites (Wolfram, etc.) that talk about Mittag-Leffler, and there are several good texts on the subject, Try a web search and you should turn up hundreds of sites with lots of references.

HTH

Doug

Answer 2

Try Griffiths and Harris, "Principles of Algebraic Geometry", Chapter 0, section 3, page 34.

They discuss the Mittag-Leffler Problem in a page and a half, first in terms of Cech theory, then in terms of Dolbeault cohomology.