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Développement du texte d'un cours. Privilégie l'aspect "analyse classique" plutôt que l'aspect géométrique ou homologique. Nombreux exercices (avec parfois comm.,sugg.,sol.)

Complex analysis --- Functions of several complex variables --- 517.55 --- Complex variables --- Several complex variables, Functions of --- Functions of complex variables --- Functions of several complex variables. Approximation. Integral representations. Holomorphic functions. Entire functions --- Functions of several complex variables. --- 517.55 Functions of several complex variables. Approximation. Integral representations. Holomorphic functions. Entire functions --- Fonctions de plusieurs variables complexes

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Functional Analysis, Holomorphy and Approximation Theory

Functional analysis --- Holomorphic functions --- Domains of holomorphy --- Approximation theory --- Holomorphy domains --- Analytic continuation --- Functions of several complex variables --- Functions, Holomorphic

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Differential Calculus and Holomorphy

Locally convex spaces. --- Differential calculus. --- Holomorphic functions. --- Functions, Holomorphic --- Functions of several complex variables --- Calculus, Differential --- Calculus --- Spaces, Locally convex --- Linear topological spaces

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This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds was first published in 1982. It was intended be a synthesis of those topics and a broad introduction to the field. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a further knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts were designed to provide an introduction to the more advanced works in the subject.

Functions of several complex variables. --- Complex manifolds. --- Analytic spaces --- Manifolds (Mathematics) --- Complex variables --- Several complex variables, Functions of --- Functions of complex variables

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Complex analysis --- 517 <061.3> --- Functions of several complex variables --- -Geometry, Differential --- -Global analysis (Mathematics) --- -Differential geometry --- Complex variables --- Several complex variables, Functions of --- Functions of complex variables --- Analysis--?<061.3> --- Congresses --- Geometry, Differential --- Global analysis (Mathematics) --- Congresses. --- -Analysis--?<061.3> --- 517 <061.3> Analysis--?<061.3> --- Fonctions de plusieurs variables complexes --- Functions of several complex variables - Congresses --- Geometry, Differential - Congresses --- Global analysis (Mathematics) - Congresses --- Analyse sur une variété