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.

Bracci, F., Contreras, M.d., Díaz-Madrigal, S., Elin, M., Shoikhet, D. (2018). Filtrations of infinitesimal generators. FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 59(1), 99-115 [10.7169/facm/1710].

Filtrations of infinitesimal generators

Bracci, Filippo;
2018-01-01

Abstract

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.
2018
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/03 - GEOMETRIA
English
semigroups of holomorphic functions; infinitesimal generators; filtrations
https://projecteuclid.org/euclid.facm/1529978431#info
Bracci, F., Contreras, M.d., Díaz-Madrigal, S., Elin, M., Shoikhet, D. (2018). Filtrations of infinitesimal generators. FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 59(1), 99-115 [10.7169/facm/1710].
Bracci, F; Contreras, Md; Díaz-Madrigal, S; Elin, M; Shoikhet, D
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/216089
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