Open Access
September 2018 Filtrations of infinitesimal generators
Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal, Mark Elin, David Shoikhet
Funct. Approx. Comment. Math. 59(1): 99-115 (September 2018). DOI: 10.7169/facm/1710


We study the problem of characterizing membership of normalized holomorphic functions of the disc to the class of infinitesimal generators and their sectorial analytical extension. We provide new formulas and applications to dynamics of the corresponding semigroups using filtrations of the class of infinitesimal generators.


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Filippo Bracci. Manuel D. Contreras. Santiago Díaz-Madrigal. Mark Elin. David Shoikhet. "Filtrations of infinitesimal generators." Funct. Approx. Comment. Math. 59 (1) 99 - 115, September 2018.


Published: September 2018
First available in Project Euclid: 26 June 2018

zbMATH: 06979911
MathSciNet: MR3858281
Digital Object Identifier: 10.7169/facm/1710

Primary: 30C35 , 37C10
Secondary: 30D05 , 37C25

Keywords: filtrations , infinitesimal generators , semigroups of holomorphic functions

Rights: Copyright © 2018 Adam Mickiewicz University

Vol.59 • No. 1 • September 2018
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