A Schwarz lemma for a domain related to mu-synthesis

Details A Schwarz lemma for a domain related to mu-synthesis A Schwarz lemma for a domain related to mu-synthesis

2007-08-04

arxiv.org/abs/0708.0637v2

Mathematics

Complex Variables

33 pages, 1 figure, LaTeX class amsart This version (v2) contains an addition to Theorem 1.1 and a new lemma (Lemma 3.3), whic

Scientific paper

We prove a Schwarz lemma for a domain E in 3-dimensional complex space that
arises in connection with a problem in H infinity control theory. We describe a
class of automorphisms of E and determine the distinguished boundary of E. We
obtain a type of Schwarz-Pick lemma for a two by two mu-synthesis problem.

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