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Topic: self maps of the upper half plane
Replies: 2   Last Post: Dec 10, 2005 12:22 AM

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Steve Fisk

Posts: 35
Registered: 12/12/04
self maps of the upper half plane
Posted: Dec 8, 2005 1:09 PM
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What is a characterization of the linear fractional transformations with
complex coefficients that map the upper half plane (Im(z)>0) to itself?

Note that the map is not required to be onto; it's possible that the
upper half plane is mapped into a disk entirely contained in the upper
half plane.

Steve

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