Talk:Aufgaben:Problem 14
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Revision as of 13:40, 31 December 2014 by Nick (Talk | contribs) (Created page with "What should this "Pierre's lemma" be? It's clearly false: Let \( f = u + iv \) (with \( u \) and \( v \) real-valued) be any non-constant analytic functions; then u and v are...")
What should this "Pierre's lemma" be? It's clearly false: Let \( f = u + iv \) (with \( u \) and \( v \) real-valued) be any non-constant analytic functions; then u and v are not constant. Following "Pierre's lemma" they should be analytic, but we've showed in Ch. II.3 that any analytic real-valued function on a domain is constant, which is a contradiction. Cheers, the tables
