We collect and generalize various known definitions of principal iteration semigroups in the case of multiplier zero and establish connections among them. The common characteristic property of each definition is conjugating of an iteration semigroup to different normal forms. The conjugating functions are expressed by suitable formulas and satisfy either Böttcher’s or Schröder’s functional equation.
@article{bwmeta1.element.doi-10_2478_s11533-012-0068-9,
author = {Dorota Krassowska and Marek Zdun},
title = {On principal iteration semigroups in the case of multiplier zero},
journal = {Open Mathematics},
volume = {11},
year = {2013},
pages = {177-187},
zbl = {1266.39021},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0068-9}
}
Dorota Krassowska; Marek Zdun. On principal iteration semigroups in the case of multiplier zero. Open Mathematics, Tome 11 (2013) pp. 177-187. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0068-9/
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