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arxiv: 0708.0637 · v3 · pith:ENUPTRRFnew · submitted 2007-08-04 · 🧮 math.CV · math.OC

A Schwarz lemma for a domain related to mu-synthesis

classification 🧮 math.CV math.OC
keywords lemmadomainmu-synthesisproblemschwarzarisesautomorphismsboundary
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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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