The magic functions and automorphisms of a domain

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dc.creatorAgler, J.
dc.creatorYoung, N. J.
dc.date2007-09-02
dc.date2008-07-15
dc.date.accessioned2026-07-07T09:49:55Z
dc.date.available2026-07-07T09:49:55Z
dc.descriptionWe introduce the notion of magic functions of a general domain in d-dimensional complex space and show that the set of magic functions of a given domain is an intrinsic complex-geometric object. We determine the set of magic functions of the symmetrised bidisc G, and thereby find all automorphisms of G and a formula for the Caratheodory distance on G.
dc.description17 pages. This version contains an additional proposition (2.11) and some minor corrections, notably to Propositions 3.6 and 3.7
dc.identifierhttps://arxiv.org/abs/0709.0096
dc.identifierhttp://arxiv.org/abs/0709.0096
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164772
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.subject32M05, 32F45, 32F32, 46A55
dc.titleThe magic functions and automorphisms of a domain
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