Abstract
We survey recent results concerning the asymptotic behavior of one-parameter continuous semigroups of holomorphic self-mappings of the open unit disk.
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Jacobzon, F., Levenshtein, M. & Reich, S. Convergence characteristics of one-parameter continuous semigroups. Anal.Math.Phys. 1, 311–335 (2011). https://doi.org/10.1007/s13324-011-0021-2
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DOI: https://doi.org/10.1007/s13324-011-0021-2
Keywords
- Angular similarity
- Asymptotic behavior
- Denjoy–Wolff point
- Flow-invariant domain
- Generator
- One-parameter continuous semigroup
- Rate of convergence
- Repelling fixed point
- Trajectory