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.
Citation
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. https://doi.org/10.7169/facm/1710
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