Matching univalent functions and conformal welding

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dc.creatorGrong, Erlend
dc.creatorGumenyuk, Pavel
dc.creatorVasil'ev, Alexander
dc.date2008-06-05
dc.date.accessioned2026-07-07T09:42:50Z
dc.date.available2026-07-07T09:42:50Z
dc.descriptionGiven a conformal mapping $f$ of the unit disk $\mathbb D$ onto a simply connected domain $D$ in the complex plane bounded by a closed Jordan curve, we consider the problem of constructing a matching conformal mapping, i.e., the mapping of the exterior of the unit disk $\mathbb D^*$ onto the exterior domain $D^*$ regarding to $D$. The answer is expressed in terms of a linear differential equation with a driving term given as the kernel of an operator dependent on the original mapping $f$. Examples are provided. This study is related to the problem of conformal welding and to representation of the Virasoro algebra in the space of univalent functions.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0806.0930
dc.identifierhttp://arxiv.org/abs/0806.0930
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162328
dc.subjectComplex Variables
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.subject30C35; 17B68
dc.titleMatching univalent functions and conformal welding
dc.typetext

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