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Schwarz's lemma
(redirected from Schwarz lemma)

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Schwarz's lemma [′shvärt·səz ‚lem·ə]
(mathematics)
If an analytic function of the unit disk to itself sends the origin to the origin then it must be distance-decreasing.
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For example, during the author's discussion of the deeper meaning of the Schwarz lemma [A], we read that Ahlfors is said to have commented that, "There is an almost trivial fact and anybody who sees the need could prove it at once.
Complex Analysis: The Geometric Viewpoint (2nd ed.) by Godfrey, Stephen / Australian Mathematics Teacher
 
 
 
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