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arXiv · 0903.2647

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

Helene Airault
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Abstract

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.

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Helene Airault. 2009-03-15. Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials. https://doi.org/10.3842/sigma.2009.032

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