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Analytic Functions

Lars Valerian Ahlfors

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

A survey of recent developments both in the classical and modern fields of the theory. Contents include: The complex analytic structure of the space of closed Riemann surfaces; Complex analysis on noncompact Riemann domains; Proof of the Teichmuller-Ahlfors theorem; The conformal mapping of Riemann surfaces; On certain coefficients of univalent functions; Compact analytic surfaces; On differentiable mappings; Deformations of complex analytic manifolds.

Originally published in 1960.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

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Schlagwörter

Differential of the first kind, Non-Euclidean geometry, Continuous function, Complete metric space, Non-positive curvature, Equivalence class, Theorem, Mean value theorem, Complex torus, Riemann surface, Sheaf (mathematics), Complex analysis, Univalent function, Schwarz reflection principle, Topology, Quasiconformal mapping, Fuchsian group, Invariance of domain, Fundamental group, Covering space, Special case, Analytic function, Pole (complex analysis), Cohomology, Quadratic differential, Automorphism, Existential quantification, Mollifier, Homotopy, Hölder condition, Continuous function (set theory), Linear map, Topological space, Automorphic form, Complex dimension, Sign (mathematics), Exact sequence, Absolute continuity, Teichmüller space, Holomorphic function, Vector field, Partition of unity, Theorem of Bertini, Homomorphism, Homeomorphism, Meromorphic function, Point at infinity, Brouwer fixed-point theorem, Removable singularity, Metric space, Riemann mapping theorem, Differentiable function, Discrete group, Fiber bundle, Beltrami equation, Principal bundle, Differential form, Upper half-plane, Complex space, Vector bundle, Harmonic function, Simply connected space, Inner automorphism, Fixed point (mathematics), Uniformization theorem, Complex manifold, Analytic set, Conformal map, Coefficient, Orthogonal transformation