Geodesic
Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials
Symmetry, integrability and geometry: methods and applications, Tome 5 (2009) Cet article a éte moissonné depuis la source Math-Net.Ru

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We 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.
Keywords: vector fields; univalent functions; Faber polynomials. 
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     author = {Helene Airault},
     title = {Vector {Fields} on the {Space} of {Functions} {Univalent} {Inside} the {Unit} {Disk} via {Faber} {Polynomials}},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2009_5_a31/}
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Helene Airault. Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials. Symmetry, integrability and geometry: methods and applications, Tome 5 (2009). http://geodesic.mathdoc.fr/item/SIGMA_2009_5_a31/

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