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Viser: Continuous Semigroups of Holomorphic Self-Maps of the Unit Disc
Continuous Semigroups of Holomorphic Self-Maps of the Unit Disc
Filippo Bracci, Manuel D. Contreras og Santiago Diaz-Madrigal
(2020)
Sprog: Engelsk
Detaljer om varen
- Hardback
- Udgiver: Springer International Publishing AG (Februar 2020)
- Forfattere: Filippo Bracci, Manuel D. Contreras og Santiago Diaz-Madrigal
- ISBN: 9783030367817
Part I: Preliminaries.- 1 Hyperbolic geometry and interation.-
2. Holomorphic functions with non-negative real
part.-
3. Univalent functions.-
4. Carathéodory's prime ends theory.-
5. Hyperbolic geometry in simply connected domains.-
6. Quasi-geodesics and localization.-
7. Harmonic measures and Bloch functions.-
Part II: Semigroups.- 8 Semigroups of holomorphic functions.- 9 Models and Koenigs functions.- 10 InFinitesimal generators.- 11 Extension to the boundary.- 12 Boundary Fixed points and inFinitesimal generators.- 13 Fixed points, backward invariant sets and petals.- 14 Contact points.- 15 Poles of the inFinitesimal generators.- 16 Rate of convergence at the Denjoy-Wolffpoint.- 17 Slopes of orbits at the Denjoy-Wolffpoint.- 18 Topological invariants