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Abstract

We know already distances in ℂ, ℍ and Cℓ(n). They all have the following properties and define therefore a metric in the respective sets: We have for a distance d(z1, z2) for all z1, z2, z3:
$$ \begin{gathered} d(z_1 ,z_2 ) \geqslant 0, d(z_1 ,z_2 ) > 0 \Leftrightarrow z_1 \ne z_2 (positivity), \hfill \\ d(z_1 ,z_2 ) = d(z_2 ,z_1 ) (symmetry), \hfill \\ d(z_1 ,z_2 ) \leqslant d(z_1 ,z_3 ) + d(z_3 ,z_2 ) (triangle inequality). \hfill \\ \end{gathered} $$

Keywords

Power Series Riemann Surface Holomorphic Function Unit Circle Dirac Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag AG 2008

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