Посилання:Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials / H. Airault // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 8 назв. — англ.
Підтримка:This paper is a contribution to the Special Issue on Kac–Moody Algebras and Applications.
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.