Continuous Semigroups of Holomorphic Self-maps of the Unit Disc. (2020)

• Record Type: Book
• Further Information: Note: Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal.
• Authors: Bracci, Filippo; Contreras, Manuel D; Díaz-Madrigal, Santiago
• Contents: 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.
• Publisher Details: Cham : Springer
• Publication Date: 2020
• Copyright Date: 2020
• Extent: 1 online resource (566 pages)
• Subjects: Mathematics; Functions of complex variables; Dynamics; Ergodic theory; Functional analysis; Differential equations; Geometry; Mathematics -- Mathematical Analysis; Mathematics -- Functional Analysis; Mathematics -- Differential Equations; Mathematics -- Geometry -- General; Nonlinear science; Functional analysis & transforms; Differential calculus & equations; Geometry; Complex analysis, complex variables
• Languages: English
• ISBNs: 9783030367824
• Related ISBNs: 9783030367817
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.