The Automorphisms of B

  • Walter Rudin
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 241)


The main purpose of this chapter is the description of the biholomorphic maps of B onto B. These will simply be called the automorphisms of B. They form a group, Aut(B), which may also be called the Moebius group of B, since the automorphisms turn out to be linear fractional transformations.


Unitary Transformation Circular Region Linear Fractional Transformation Homogeneous Expansion Cayley Transform 
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Copyright information

© Springer-Verlag New York Inc. 1980

Authors and Affiliations

  • Walter Rudin
    • 1
  1. 1.Department of MathematicsUniversity of WisconsinMadisonUSA

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