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This book is a comprehensive treatment of the general (algebraic) theory of symmetric domains.Originally published in 1981.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.

Symmetric domains. --- Holomorphic mappings.

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Holomorphic mappings --- Applications holomorphes --- Fonctions de plusieurs variables complexes

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Riemann surfaces --- Holomorphic mappings --- Riemann, surfaces de --- Applications holomorphes

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Since its introduction in the early 1980s quasiconformal surgery has become a major tool in the development of the theory of holomorphic dynamics, and it is essential background knowledge for any researcher in the field. In this comprehensive introduction the authors begin with the foundations and a general description of surgery techniques before turning their attention to a wide variety of applications. They demonstrate the different types of surgeries that lie behind many important results in holomorphic dynamics, dealing in particular with Julia sets and the Mandelbrot set. Two of these surgeries go beyond the classical realm of quasiconformal surgery and use trans-quasiconformal surgery. Another deals with holomorphic correspondences, a natural generalization of holomorphic maps. The book is ideal for graduate students and researchers requiring a self-contained text including a variety of applications. It particularly emphasises the geometrical ideas behind the proofs, with many helpful illustrations seldom found in the literature.

Holomorphic mappings. --- Differentiable dynamical systems. --- Kleinian groups. --- Global analysis (Mathematics)

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Fonctions analytiques --- Analytic functions --- Manifolds (Mathematics) --- Holomorphic mappings. --- Variétés (mathématiques) --- Applications holomorphes.