An algebra of diffential operators and generating functions on the set of univalent functions
type: Item
instance of: scholarly article
title: An algebra of diffential operators and generating functions on the set of univalent functions
zbMATH Open document ID: 1010.33006
DOI: 10.1016/S0007-4497(02)01115-6
author: Hélène Airault
author: Jiagang Ren
published in: Bulletin des Sciences Mathématiques
publication date: 2002-10-21T00:00:00Z
review text: Developing approach and ideas of \textit{A. A. Kirillov} [J.~Math.~Pures Appl., IX. Sér. 77, No. 8, 735-746 (1998; Zbl 0922.58078)], the authors construct the system of partial differential equations having Faber polynomials as a solution and obtain generating functions for related sequences of vector fields. The context is representations of the Virasoro algebra.
reviewed by: Pasha Zusmanovich
Mathematics Subject Classification ID: 33C80
Mathematics Subject Classification ID: 30C55
Mathematics Subject Classification ID: 17B68
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 32M25
zbMATH DE Number: 1795940
zbMATH Keywords: Faber polynomials
zbMATH Keywords: univalent functions
zbMATH Keywords: vector fields
zbMATH Keywords: Virasoro algebra
MaRDI profile type: Publication
cites work: Unitarizing probability measures for representations of Virasoro algebra
cites work: Q5610508
cites work: Q4255124
cites work: Geometric approach to discrete series of unirreps for Vir
cites work: Representations of the Virasoro algebra by the orbit method
cites work: Faber polynomials in the theory of univalent functions
full work available at URL: s0007-4497(02)01115-6
OpenAlex ID: W1965207658
description: scientific article; zbMATH DE number 1795940