Asymptotic behavior of one-parameter semigroups and rigidity of holomorphic generators

DOI10.1007/S11785-007-0027-9zbMath1157.30010OpenAlexW2027873488MaRDI QIDQ941060

Mark Elin, Simeon Reich, Fiana Yacobzon, David M. Shoikhet

Publication date: 4 September 2008

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-007-0027-9

zbMATH Keywords

Cauchy problemrigidityDenjoy-Wolff pointone-parameter continuous semigroupAsymptotic behaviourKoenigs functionrepelling fixed pointholomorphic generator

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (9)

Parametric representation of infinitesimal generators on the polydisk ⋮ A non-autonomous version of the Denjoy-Wolff theorem ⋮ On the rate of convergence of parabolic semigroups of holomorphic functions ⋮ Boundary behavior and rigidity of semigroups of holomorphic mappings ⋮ Parabolic type semigroups: asymptotics and order of contact ⋮ Geometric properties of the nonlinear resolvent of holomorphic generators ⋮ Non-tangential limits and the slope of trajectories of holomorphic semigroups of the unit disc ⋮ Slope problem for trajectories of holomorphic semigroups in the unit disk ⋮ On the asymptotic behavior of the trajectories of semigroups of holomorphic functions

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