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A generalized Schwarz lemma for two domains related to $μ$-synthesis

Published 2 Aug 2017 in math.CV | (1708.00788v2)

Abstract: We present a set of necessary and sufficient conditions that provides a Schwarz lemma for the tetrablock $\mathbb E$. As an application of this result, we obtain a Schwarz lemma for the symmetrized bidisc $\mathbb G_2$. In either case, our results generalize all previous results in this direction for $\mathbb E$ and $\mathbb G_2$.

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