Volume 9, Number 2, August 2008, pp. 205-214
Mark Elin, David Shoikhet and Fiana Yacobzon
Key words:
Asymptotic behavior, Cauchy problem, Denjoy--Wolff point, holomorphic generator, one-parameter continuous semigroup, parabolic type self-mapping
Mathematices Subject Classification: 30C45, 47H20
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Abstract:
We study linearization models for semigroups of parabolic type. In particular, we introduce new limit schemes to obtain solutions of Abel's functional equation and to study asymptotic behavior of such semigroups.
Linearization models for parabolic type semigroups