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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.

Functional analysis --- Analytic functions --- Functions, Analytic --- Functions, Monogenic --- Functions, Regular --- Regular functions --- Functions of complex variables --- Series, Taylor's

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Analytic functions and manifolds in infinite dimensional spaces

Analytic functions. --- Manifolds (Mathematics) --- Geometry, Differential --- Topology --- Functions, Analytic --- Functions, Monogenic --- Functions, Regular --- Regular functions --- Functions of complex variables --- Series, Taylor's

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Presents an introduction to the properties of analytic functions. This title provides examples of functional equations to show how analytic solutions can be found. It treats analytic functions as those generated by sequences with positive radii of convergence.

Analytic functions. --- Functional equations. --- Power series. --- Series, Power --- Equations, Functional --- Functional analysis --- Functions, Analytic --- Functions, Monogenic --- Functions, Regular --- Regular functions --- Functions of complex variables --- Series, Taylor's

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Functions of complex variables --- Analytic functions --- Fonctions d'une variable complexe --- Fonctions analytiques --- Complex variables --- Elliptic functions --- Functions of real variables --- Functions, Analytic --- Functions, Monogenic --- Functions, Regular --- Regular functions --- Series, Taylor's --- Analytic functions. --- Functions of complex variables.

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This book contains lecture notes of a series of courses on the regularity theory of partial differential equations and variational problems, held in Pisa and Parma in the years 2009 and 2010. The contributors, Nicola Fusco, Tristan Rivière and Reiner Schätzle, provide three updated and extensive introductions to various aspects of modern Regularity Theory concerning: mathematical modelling of thin films and related free discontinuity problems, analysis of conformally invariant variational problems via conservation laws, and the analysis of the Willmore functional. Each contribution begins with a very comprehensive introduction, and is aimed to take the reader from the introductory aspects of the subject to the most recent developments of the theory.

Stochastic analysis. --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Differential equations, Partial. --- Analytic functions. --- Functions, Analytic --- Functions, Monogenic --- Functions, Regular --- Regular functions --- Partial differential equations --- Mathematics. --- Partial differential equations. --- Partial Differential Equations. --- Functions of complex variables --- Series, Taylor's --- Differential equations, partial.