Displaying similar documents to “On the convergence of normalizations of real analytic surfaces near hyperbolic complex tangents.”

Analytic formulas for the hyperbolic distance between two contractions

Ion Suciu (1997)

Annales Polonici Mathematici

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In this paper we give some analytic formulas for the hyperbolic (Harnack) distance between two contractions which permit concrete computations in several situations, including the finite-dimensional case. The main consequence of these formulas is the proof of the Schwarz-Pick Lemma. It modifies those given in [13] by the avoidance of a general Schur type formula for contractive analytic functions, more exactly by reducing the case to the more manageable situation when the function takes...