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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223405We 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.Classical Analysis and ODEsMathematical PhysicsVector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomialstext