arXiv subjects

Helene Airault

Publications and source records attributed to Helene Airault.

2 recordsLinked to original sources

arXiv2009

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

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.

math.CA↗

arXiv2007

On action of the Virasoro algebra on the space of univalent functions

We obtain explicit expressions for differential operators defining the action of the Virasoro algebra on the space of univalent functions. We also obtain an explicit Taylor decomposition for Schwarzian derivative and a formula for the Grunsky coefficients.

math.RT↗