Polynomial Convexity

This comprehensive monograph is devoted to the study of polynomially convex sets, which play an important role in the theory of functions of several complex variables. Important features of Polynomial Convexity: *Presents the general properties of polynomially convex sets with particular attention t...

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Hlavní autor: Stout, Edgar Lee, 1938-
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Boston, MA : Birkhäuser Boston [20..].
Cham : Springer Nature
Vydání:1st ed. 2007.
Edice:Progress in Mathematics 261
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Poznámka: L'impression du document génère 453 p.
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Edition sous un autre format:• Polynomial convexity, Edgar Lee Stout, 2007, Boston (Mass.), Birkhäuser, 1 vol. (X-439 p.), Progress in mathematics, 978-0-8176-4537-3
• Polynomial Convexity, Texte imprimé, 9780817671372
• Polynomial convexity, Edgar Lee Stout, 2007, Boston (Mass.), Birkhäuser, 1 vol. (X-439 p.), Progress in mathematics, 978-0-8176-4537-3
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100 1 |a Stout, Edgar Lee,  |d 1938- 
245 1 0 |a Polynomial Convexity   |c Edgar Lee Stout. 
250 |a 1st ed. 2007. 
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490 0 |a Progress in Mathematics  |v 261  |x 2296-505X 
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505 1 |a Some General Properties of Polynomially Convex Sets Sets of Finite Length Sets of Class A1 Further Results Approximation Varieties in Strictly Pseudoconvex Domains Examples and Counterexamples. 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a This comprehensive monograph is devoted to the study of polynomially convex sets, which play an important role in the theory of functions of several complex variables. Important features of Polynomial Convexity: *Presents the general properties of polynomially convex sets with particular attention to the theory of the hulls of one-dimensional sets. *Motivates the theory with numerous examples and counterexamples, which serve to illustrate the general theory and to delineate its boundaries. *Examines in considerable detail questions of uniform approximation, especially on totally real sets, for the most part on compact sets but with some attention to questions of global approximation on noncompact sets. *Discusses important applications, e.g., to the study of analytic varieties and to the theory of removable singularities for CR functions. *Requires of the reader a solid background in real and complex analysis together with some previous experience with the theory of functions of several complex variables as well as the elements of functional analysis. This beautiful exposition of a rich and complex theory, which contains much material not available in other texts, is destined to be the standard reference for many years, and will appeal to all those with an interest in multivariate complex analysis. 
650 |a Fonctions de plusieurs variables complexes 
650 |a Polynômes 
650 |a Domaines pseudo-convexes 
650 |a Approximation polynomiale 
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