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math.CV2006
Sharp Schwarz-type lemmas for the spectral unit ball
Gautam Bharali
We provide generalisations of two Schwarz-type lemmas -- the first a result of Globevnik and the other due to Ransford and White -- for holomorphic mappings into the spectral unit…
math.CV2006
Nonisotropically balanced domains, Lempert function estimates, and the spectral Nevanlinna-Pick problem
Gautam Bharali
We introduce the notion of a λ-nonisotropically balanced domain and show that the symmetrized polydisc in C^n, n \geq 2, is an example of such a domain. Given a λ-nonisotropically…