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

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

2009-03-15

arxiv.org/abs/0903.2647v1

SIGMA 5 (2009), 032, 11 pages

Mathematics

Classical Analysis and ODEs

Scientific paper

10.3842/SIGMA.2009.032

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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