Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials

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dc.creatorAirault, Helene
dc.date2009-03-15
dc.date.accessioned2026-07-07T12:52:46Z
dc.date.available2026-07-07T12:52:46Z
dc.descriptionWe obtain the Kirillov vector fields on the set of functions $f$ univalent inside the unit disk, in terms of the Faber polynomials of $1/f(1/z)$. Our construction relies on the generating function for Faber polynomials.
dc.identifierhttps://arxiv.org/abs/0903.2647
dc.identifierhttp://arxiv.org/abs/0903.2647
dc.identifierSIGMA 5 (2009), 032, 11 pages
dc.identifierdoi:10.3842/SIGMA.2009.032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223405
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.titleVector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials
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